Thank you very much. It's great to be here. You all for coming. We're going to have a. So we're talking about insects today in particular how to stay dry to stay alive. I'm going to talk about it on a couple of my favorite model resumes for looking at watermelon see this is a for example this is a raft built by ads to talk about that. We'll talk a little bit about how flying insects repel water. And if there's time the end. Will get to my wife's ex boyfriends Valentine's gift to her. Which was this poodle wishes and Good Morning America last year. So. Let's I collaborated with in particular with Craig Tovey this this this is an image of the academic a lot of you have to climb in order to get it in my lab. It's arduous to reach the top. With views very nice. Michael and I did this and giraffe model I'll discuss Nate's and Andrew aren't here I don't think they did the they did most of the experimental work. And on the higher number of undergraduates some in particular to take the photos that you'll see throughout this talk in the videos. Most of which are our labs. People use they ask me who funds this stuff. And as a physics of living systems and N.S.F. biology in particular physiological and structural systems. So you can check out. You can check out my abstracts on the net of online. If you want to see more about my funding. Let's begin with the fundamentals of what you're seeing here is the mating dance or combat of the water Strider. It's on the water surface. So this this animal is basically somersaulting jumping wrestling. It's going to there's a head lock on the right hand side here. It's doing all this on the water surface. All this without following through which is just amazing. It's impossible to our scale but on that way. It's you know it's not not very difficult. So what support in the way to these insects is surface tension which is a force per unit length or equivalent energy producing area. As a result water services tend to resist defamation and they act like trampolines which prevent them from objects from sinking through if they're very small. I realize a lot of people who probably wouldn't research is not exactly organism biomechanics So I would have a I'm going to talk about surface tension for your own benefit. So when a drop of water is placed on a solid There's basically two regimes that can occur. One of which is biologically favorable such as this which old codgers hydrophilic hydrophobic and then one hundred filling. The idea is that if you're hydrophilic water tends to form a very thin flat layer and completely coat the surface. That's a circular with a con angle of contact of the zero degrees. If it completely touches the surface. What organisms One is they want to avoid contact of the water so they generally try to have these contact angles to be as close to one hundred eighty degrees as possible. One hundred eighty degrees and correspond to a perfect sphere. Now if you don't know if you were in water. PELLANT pants. The way it works is through a combination of chemistry and texture chemistry acts to make the surface hydrophobic in one hundred eighty as possible. And texture basically acts to make the water see a composite surface basically a combination of air and pant material. So particular. There are two laws that describe how that works. One is the called the Castle Law and it says The There's this context and all the drop on the macroscopic scale and it's a weighted average of the contact angle on the air and on the solid and if for example which a lot of these surveys are all show you if it's mostly air the contango becomes very high. If a job water hits the surface with sufficient speed it can judge you know once the surface where instead of being supported on an array of A. Air pillars it actually penetrates and what's the service. So this is a kind of thing to be avoided. Now one of the reasons water problems has been continuously studied for the last hundred years is because of his to resus which is that you know experimentalists is a terrible word because it means if you measure something once it may not be the same if you measure that again. In particular contact Ingles have a range of values in nature and this is due to that on the microscopic scale there's tiny of mountains in Vail valleys that trap the contact line. It's not raining today but last week when it was raining. You might have noticed water drops will stick to your windows. And from the theory I showed previously that should be possible because the contacting all should be the same. The top and bottom the drug. But because of history says there is a minimum angle and a maximum data receiving and data advancing. And it is all the drop looks like kind of like my will my wife is pregnant. Right now. So they might pregnant wife bill they were going to give birth in about a month and her belly is even larger than this but as a result there's a there's a you can see there's a vertical force a shoulder with these different angles here and that's what supports drops on windowsills if any of your experiments involve small bits of water. You should continue to read. There is a great book by three French men very little mathematics that talks about capital or phenomenon. Now. One of so in my field. Capillarity the Holy Grail was based on ten years ago when they discovered something called the sacred Lotus there's a social with Buddhism but basically it's a particular plant. Law and nine when I said published this ten years ago it has two thousand sites this paper has two thousand citations. And the planet has a Cassie Baxter layer. So. That most of this planet is actually covered in air and is due to very small very small pillars on the plant. There is that one. Drops form they form perfect spheres and moreover when they roll off they carry detritus and things with them so that each time a range the plane gets cleaner. Since then there's been you can imagine there's a ton of material scientists trying to publish on this but there's still a lot of work that has to be done. In particular water through fabrics. There's still a lot not understood why they're so fragile and expensive to make. There's still going to be a long it's going to be a long time before we see this throughout our daily lives. So they're going to talk about three mechanisms I think might play a role in making water repellent seem more robust. So let's start with what you're most familiar with as Prius said you might feel a little creepy and crawly so you might want to finish the sandwich part of your your meal but we'll start with ants in particular fire ants. So these are these are far from the the wetlands of Brazil a place where it floods twice daily. This is composed entirely of ants on the water surface. Nothing else. No glue this and holding onto themselves. You know. So these ants have learnt it here together and over generations they've learned to do this in a very organized way. This is the topic of my students Ph D. thesis and I only talk about the rats today but they're capable of building bridges in case they want to cross long obstacles and they also kill people building big works in which to store their colonies overnight. And these new acts they can even open and close the holes in them to reduce water loss and maintain temperature. Now if you want to build something you need a glue and the and school who is basically their own claws and mandibles with it because it can link together strongly enough that they can form these long chains in the lab. Let's get this first. One of the answer very strong this is one and holding up twenty of its neighbors as I said these are S.C.M. images of. Mandibles and the claws gripping each other. And these these these answer very strong and because there are so many they act like a continuum sort of like between of solid and of fluid. You can estimate a elastic modulus based on the strength of an ant its size and its size L. and basically the length of defamation of its arms and this is basically it will be something similar to silly putty. Using the micro C.T. That was actually available in this building you can visualize what inside the structure looks like the particular it's actually like the lotus leaf. It's a structure of mostly air. It's only twenty percent and eighty percent air. And what makes the virus so strong is that each end has six legs and a large number of neighbors these red points show you where it's connected to the neighboring ants. And you can see these neighbors connect all all across the body. So we see that they can aggregate but why. Well that's so this is a this is a typical experiment to do in our lab. This is a drop of water and here's an ant and you see it has very poor properties. If it were to be a good word to try to swim in particular it's contact angles. So it sticks to water it hasn't he can as a result if you are trying to swim and if you're and you basically stick to water with every step. It's a terrible thing. Moreover there's a high has to resus basically if you want to remove your arm from the water you have to deformed the contact angle a great deal. All of these are terrible for swimming. But luckily these ants live in colonies and they learn to cooperate and so what they've learned to do is build text textured surfaces by looking together at the exact spacing that's required to prevent water from penetrating. If I want to I I was going to ask the Georgia Tech some team to see if they could build a raft like this but of course that you know they wouldn't be water repellent. But because they're in the life skill on a very small length scale water will tend not to penetrate these pores made between the ends. And by the casting Baxter law I stated earlier if they have half the area fraction air and half of it and their contact angle will become much greater than it was if it were slowly and. You don't have to believe me you can ask answer selves. So this is this what happens when you try to drown these ants. On You Tube. Everyone wants to drown us drown the ends. So I was disappointed when we can drown them. This as I believe this is one million hits on You Tube It's quite quite a large number of middle schoolers interested in our research. But you see when you try to push them down. They basically form a form bubbles between them. This is all air pockets and that prevents water from penetrating the raft. It's very non-intuitive. And you push the wash even further and further in depth. You see they form this air lair that that allows them to them to stay dry. Even when under water. This air there has a limit of course because as you go deeper and deeper. There's going to be increasing pressure that will eventually push out these bubbles. What maintains they are there. This is a common principle in nature. This is. In the water appellants litter. There's always it's always known there's a hierarchy of life scales that prevents water from penetrating. And particularly for the rats there's the spacing between the ants. There's the space in between the legs and on the legs themselves there's these tiny hairs. For water to try to wet this very complex surface has got to do a lot of do a lot of work in particular you can predict how deep you can put each of these structures in the water before water will penetrate those holes of varying size. They say to fill the hole pores between the body you have to go one centimeter but to fill the holes between the hairs you have to go almost a metre so this makes the ant very robust. This is a picture taken of an ant under water that's floating floating gently upwards and you see it's actually not touching the water. If you look very closely. There's a thin layer of air that surrounds its body. Biologist call this a plaster on or an artificial deal. Basically the inward diffusion of oxygen is equal to the S. metabolic rate and this means you can survive indefinitely under water simply by breathing the air absorbed into the air layer some engineers a couple years ago trying to build a version that's fit for humans on a large scale but it's still having problems. So we've seen these ants have great properties when they're digging there but how useful is this during flash floods. They have to be able to build a raft quickly enough to search for everyone to survive for example let's say This whole of the we had a fire drill and we all had to go out on the water service and build a raft. Everyone in this building how quickly would that have and why everyone has to carry their belongings we have our laptops and our centrifuges our pipes and things like that. No books and we're basically trampling upon each other to try to get away from the water. Basically we have those that are be. Upon And then there was those of the travelers. How to do this an organized way. So I'm going to show you a video of an experiment where we take in and ball you do that by taking the ants and swirling them up like this. In a cup. And that turns them into a perfect sphere and then we put them on the water surface and watch what happens. So this is a time lapse video of about about two hundred seconds and you see the rat the ants know intuitively to transform from a sphere to a pancake they build build build this is about eight thousand and so this is about this probably the entire This is four times that mechanical engineering class but a thousand and. They build build build link together at the edge and eventually they form a structure that has an equilibrium. It looks a lot like a drop of spreading fluid. Here's a smaller number of and so you can see a little bit. What's happening on the edge. They're all running toward the edge franticly. And then getting to this equilibrium structure and then of course you have the students that are the black sheep they're just doing their own thing. Everyone thinks they can start their own colony there they are. And here's a side view. Where you get you see it goes from a sphere to a pancake shape. There's some interesting stuff going on here. I think enough for a whole nother Ph D. thesis these ants can actually walk under water on what surfaces. It's partly because they actually extrude a drop of hydrophilic and hydrophobic fluid a composite drop that allows them to stick to almost anything even if it's weight. So you see there are two layers. There's basically the like I said there's the underclassman those are the base the on the bottom that are wet and there's upper classman that are on top. That are dry. How does how does this happen. So I want to talk a little bit modeling. I know we're I know we're an Ivy So there's not the math department so I'll try to talk about an intuitive way but their ideas base is a prick to predict how quickly this droplet spreads over time. And we basically parameterize that by the area of this raft. We can simply record that from a video and from the area basically from every square centimeter we know the density of and so you know it's it's it's it's thirty and spur. Basically in the area of my pinky now. So we're trying to predict the number of ants on the bottom layer of the raft as a function of time it starts out as the number involved in involved in the sphere and extends all the way to what I'll show is about half the colony. Model inputs we basically have the total number of ants This is basically the weight of the ball each and one milligram so. One gram of ants is a thousand and the whole the time scale the problem set by the walking speed of the ends. Basically the answer walk. They basically run like hell to get out of there and if they don't twice as fast the ball's rafters built twice as quickly and each and walks a pinky with him and a second. There is a number of layers of the raft and equilibrium. So that's something we can predict I think that's based on how strong the RAF needs to be to be to survive waves and things like that in experiments from one thousand to ten thousand and that's always consistent with a two point five and. So there and have a local rule that they basically said we want to build a raft that's two hands high. So here's a model in a nutshell. Imagine you're a hoarder a horde of people what you want to do is get out of there as quickly as you can. Well if you're starting at a random position within the horde you basically want to run as quickly as you can to the edge of the Horde and that's what they do they basically take a bee line for the edge in a random direction. Once they get to one edge. They try to find the scape of course there is none. So they turn around and then. And basically run to another it and from one edge they keep on running to another edge in another edge until. They Basic get trapped. So every time they get to an edge. There's actually some small chance that their friend reaches out and grabs them. If their friend grabs them they become part of the raft and that's how the raft expands. So that we can actually measure the probability that they grab with a probability P. and if this is a unit rock that means it's the one center in diameter. We can predict by integrating over all possible angles the green and the peg. And so that give us an expected travel distance on a raft of unit with. And that's actually the entire model because now you know what one and. How long it has to travel to get to the edge and how long before the Iraq expands. The rest of model is assuming the following things. Well every end basically does something similar. We can predict what one end does but over ten thousand and these averages are very very good. So the number of ants that basically add to the side is proportional to number and running around on top divided by the travel time it takes to get here. Now the number ends rolling on top. We call that low end of the travel time is basically this number. Dimension lies by the radius and divided by this. And speed. We can convert radius to the number of ants using this density. Number I mentioned the number of ants in a pinky which in the pinky area. And so that number of ants is collecting at the side of the raft every unit time and the. Forming a lair H. thick. So this gives us a different equation for the raft of growth and relies on the random walk lands and there's basically two regimes you have to take into consideration one in the very beginning where the top layer is saturated with ants. And that's happening the beginning. So here you have the whole this is whole the top is filled with and they're all going in random directions but because the RAF starts out small the number of and some top a small and so the growth is slow. That's why it's very slow in the beginning. But as the raft expands you get a larger number of constructors and those and so you see this left starts increase in speed. The rate increases rate increases but as this thing gets bigger. Eventually you can run out ants and that's what happens the very end because you basically have a diminishing number of ants on top and as a result the speed slows down and the you have this basically this very non-linear behavior. You know this is a log log scale. So it's very non-linear in comparison. If you took a drop of shampoo and put it on the water surface it spread out according to a power law so that this would be straight. But here it's nonlinear. So that's that's the model of how quickly the ends can do it. And this all happens within two hundred seconds. So they're very very good at it and as a result in the videos I showed you can have ten thousand and and zero will drown you have literally zero casualties. Now these refs aren't always circular For example this is a example of what happens when the raft reaches land and actually docks. So this is a very Now as to a cell. I would call it like an amoeba which reaches out the flagellum essentially these ants have local information they see the wall here. And as a result they walk towards it and this thing extends extends and extends until it gets to the edge. This work is still ongoing but I think that it will have representations in the swarm literature. There's still a lot of fundamental questions about how quickly you can build things. In particular there's now new devices have you seen this is the Kubler modular robot that can basically construct larger robots by by connecting together the Grand Challenge of robotics in two thousand and nine is based on take a bucket of robot parts dump it out and have this bucket of parts build bigger robots. So we're hoping to collaborate with bodices to do that. And as you who are do biology know so Woman together for example on this amoeba like Dick to tell them to form a spore slug and a stalk all that is due to this kind of swarm behavior. OK So that's the four story I wanted to tell. It's about cooperation. Now the next story I want to tell is about about insects the insects that work alone. So I want to talk a little bit about how insects fly in the rain so. So this is a housefly and this is a water drop that hits the housefly if you're trying to design an insecticide this is probably very worst thing that can happen because it means all your insecticide gets on the ground and none of it gets on the fly. And part of the reason is because the like like the ant rafts these the flying insects are actually highly hydrophobic as a result people had to build very carefully choose droplets sizes that were actually touched in six. This is a scanning electron microscope picture of Aircel insecticides which are only twenty micro meters so one fifth of your human hair that actually stick to the insects by inertial impaction but anything larger will basically bounce off. So I want to talk about how mosquitoes fly in the rain. So there's a mosquito is a funny animal there are they like human environments but no one's really asking how they can fly in these conditions that are wet like rain and fog. So they get you situated. Let's think about the two competitors we've got rate a range up here and a mosquito they're basically roughly the same size a couple millimeters. But the mosquito is mostly its body is very thin so as a result. It's mass and the mass of the raindrop is two to fifty times a mosquito. So it's basically equivalent of us being trapped in these the bus. They're very very heavy. Over their speed is very is is very high compared to the mosquito mosquito probably travels at most one metre per second. This far in a second but these drops at terminal velocity. If you ever try to see them on high speed video they're quite fast five to nine meters per second. The drops because of their high speed they carry a great deal momentum that's that's basically thrown laterally and he time it hits a solid surface. So this is a drop in hitting a bird's wing. And. The momentum so base of the month on the drop the mass times velocity. And the time scale of the impact which is a about a millisecond they give you an idea of the forces that are involved. Upon this impact and is based on ten thousand mosquito weights. So an extraordinary amount of force. So how do these mosquitoes survive. So. First of all these drops to hit the misuse actually quite frequently in a rainstorm. You can calculate this based on the mosquitoes impact the area of potential impact that of its wings on its legs. Which is about thirty millimeter squared and a very heavy rain. It will rain about fifty millimeters an hour. That's basically heights if you feel a bucket for the millions hour. That's basically the rain intensity come out of these to get the frequency of impact upon the area of the mosquito. And that's basically you get an impact one every twenty five seconds. So they'll be quite quite frequent if they're in the rain storm. Moreover there's there's basically two ridges impact that are important. The direct impacts are worse than the red area and the glancing impacts which you can see as the majority area. The purple in the green and so that if you look at the areas involved the glass impacts are probably about three times more likely and that corresponds to our experiments. So this is a we basically make a simulated drops and this is a mosquito able to recover easily after perturbation by the drop which now the drops on the show you in the following experiments are all slower than terminal velocity about two meters per second and you can cover the force applied on the wing. That is causing the torque on the in seconds. Only about two mosquito waves. So this is easily easily survivable. Like I said the next kind of impact they can occur is that when it hits direct hits the body directly and and partly if the insignia flies at the with the vertical body position the drops will simply glance off plants off the back even though they hit directly. You can see the hydro for business is very important here and preventing the drop from forming greatly and I'll talk more about this defamation in the second. But if insects on lucky enough to basically be flying horizontally. If we get him back to directly. They'll basically form a long mast with a drug. So this is a direct hit with a drop. You can see when they get hit both of them go together and mechanics is called In the last impact where you have two objects that stick together upon impact. I'll talk about how we can predict the momentum precisely after impact based on the relative masses. In all these cases these insects can free themselves in this case. We don't exactly know why we think it has to do with the head high drag on the legs and wings that allows it to separate. So to make progress in this on this problem. It's actually very hard to do that experiment with insects. So we choose mimics basically small Styrofoam balls that have the same mass of the insects and. We think the mass is actually the most important property in determining the impact phenomenon. So like I said if you have two bodies that impact each other. The month before impact is going to equal the momentum after impact. So as a result the ratio of the speed after impact the speed before impact is going to the ratio of the masses involved in particular the mass of the drop to the combined mass of the drop and now miscues are so lightweight that they actually the drops is almost Low them momentum upon impact it may be only two to seven percent seventeen percent on contrast if you take a dragon fly it will lose about ninety percent because that's actually several times a drop weight. And because they lose very little mental as I'll show you the force is very low. So this is very non-intuitive it's very different from the impact on a bird's wing where the drop is spread here. The force and the mentum afterward depend strictly on the weight of the mosquito compared to that of the draw. There are some cases here where the theory here doesn't fit very well and that's the case if the drop hits the side of the mosquito move back and spins it. There you have some dissipation and it is all you've got lower final speed. So these are two mimics of the same size compared drops a very different size particular Here's what would be drizzle and here's would be a typical rain. And as you see what you would expect on a solid surface is that of a drop. It's that it should deform greatly if it's large but in this case. What determines the force is determined by the mass of the mimics so the small drops happen to form or other small drops to form or it's the large jobs that actually have the largest number of G.'s. So the number of G.'s involved here is around is around one hundred. Now I'll get into that in a second here. That's OK. So to predict how many G.'s there are I first have to show to prove that the drops don't splash and I'm not going to go into this in great detail but basically what keeps the drop together is the surface tension and any time they drop the forms. It generates increased pressure inside the drop. The the so there is a this is the rest of the equation basically the momentum of the impact which is the change in the drop speed. Over the time of impact of the last pressure due to the increase in surface tension and gravity which is noticeable in this case. The defamation time based the amount of time for the drop to the fore in can be estimated can be estimated by the change in speed over how much the drop the forms in radius and the pressure gradient can be estimated by the change in pressure due to changing from a sphere to an ellipse. Using these together we can base a project how much of this drop will change in radius. As a function of the masses of the two items. And if it's almost precisely our data. Stating that basis we can predict how much the drop the forms. Depending on the size of the insect. In particular the large the larger the small drops will to do for more as shown up in the left. So we see that drops to form rather than splashing that means you can assume they're in a lasting impact that they can go together. And this is the number G.'s. That is measured from these experiments that I showed. So it's actually quite high. The number of G.'s. Let's let's calibrate this for you. The the human tolerance was taken on a rocket sled this guy basic took this rocket sled at a high speed and stopped it suddenly. He he suffered he suffered about twenty G.'s which is known to be the human limit and they called it. They call it eyeballs out because I was detached from his retinas So he kind of had trouble seeing the rest of life. So that's about twenty G.'s how much you can withstand and when I get to this dog work. I'll show these a dog. These are hairy mammals actually shake much higher than that. And so they have to close their eyes to their eyeballs from popping out. But I'll get to that in seconds. But the so depending on the size of the drop size the drop you can basically get between fifty and three hundred G.'s honest on a single mosquito. That's it may seem like a lot but you have to keep in mind these mosquitoes a very strong exoskeleton. And three hundred G.'s when you're a very lightweight mosquito is only about two point six grams of force. So that's essentially like the weight of a feather that that's falling on the mosquito. So it's actually very low. We've done basically impaction experiment where you basically squeeze a mosquito on a analytical balance and you can see. Five base in order of magnitude higher than that. So so they basically have no problem surviving depending on. Depending even on many large range of drops items. That's so I think I'm going to so this is a this is a video of a mosquito being hit by a jet. There's still a lot of things we don't know for example if it's by a series of drops how the mosquito will behave here. The number of G.'s is only one hundred. So even though it's hitting being hit by a jet that's going ten meters per second. The number of Jesus actually is still quite survivable. I think going to get some of this stuff. So OK OK It's OK. So we've seen two methods of water pellets the one based on construction of the animals with with each other the other the animal I'd like a particle is so small that base of the drop just carried itself with it and as a drop in the Splash an animal survived. Now you one thing sort of tension is useful on the larger scale but turns out drops for example the living animal have to depart from small bundles of hair so surface tension as I'll show is important in determining how quickly and I will have to remove water and as Lord knows I got I a cook I got I approval to do this right or so on and the last ten minutes let's talk about how and will shake to remove water. So it's actually harder than you would think if you go to the if you just shut the door of your office and go on all fours as I do on do on occasion you try. To do this is actually quite difficult. And the reason is well you have a four legs the front legs basically turn clockwise the back legs turn counterclockwise and you've got to do a self wringing motion so that your body rings itself out and spins at high frequency. The result is quite spectacular as I show they do it at various speeds the number of gravity's involved which we can calculate. Is basically doing ten and seventy. So it's for these animals is a lot larger than the human tolerance and if you shake your head. Very quickly from left to right. It does it does hurt. Moreover it's actually quite effective. So I like to compare these things the washing machines even though they're very different processes but your water machine as you know will draw your socks within about ten minutes. But this gives the animal seventy percent dry in about one seconds. We can measure the weight of the animal before and after determine how much how dry it is and for rats. They basically got almost all the water off instantaneously. So it's very very good. So I'm going to talk about how it happens and how it changes depending on animal size. First of all why is it even there in the first place. It seems like it's just really cute little phenomenon. But in actual In actuality it's a matter of life and death for these animals. There's a great article one hundred twenty eight by J.B.S. Haldane he was a geneticist called on being the right size. It's a great article for your classes to talk about the consequences of scaling up with article says so if you come out of the bath tub and you step on a scale. You'll find that you have weighed a pound heavier due to the water on you. The water is basically forming a very thin layer a fifty of an inch thick and that altogether weighs about a pound. Which is nothing. But as you get smaller and smaller this weight increases. So a webmaster it turns out has to carry about its own weight of water when it comes out of a bath. And a fly has to carry many times its own weight. You can see the problems of losing this water become increasingly difficult as you get smaller and smaller. This is coupled to the problem that water takes a lot of energy to evaporate especially in cold weather. For example one pound of water takes around two hundred fifty calories to evaporate from the body. That means an average sized dog which weighs about sixty pounds with a pound of water nerds for one can calculate that it takes about twenty percent of its daily calories. Just to draw that water off. So this is a very big deal in cold climates. This is a typical experiment our lab. We take a pink strong and we do for particle tracking so. This is a troll that gently taped to the back of the dog and. You can see that's the actually the back of the dog. So the bear back of the dog is going ninety degrees in the left and nine of us the right. The dog skin is very very loose. If those of you who've taken a freshman physics. You might remember this is a simple harmonic motion. With an amplitude of around ninety degrees. If you take the dog skin and move it yourself. You see it's very nice it is very loose and it can move about sixty degrees on its own which means the backbone of the dog is only moving thirty degrees of poultry poultry amount so the back of the so the berry back of the dog the vertebrae is very moving a very small angle. This means that if animals had tight skin their philosophies would be one one third as high. If they had loose skin and as I'll show later the centripetal force will be only one tenth the size. So it's critical these animals have loose skin in order to get the high speeds associated with this large amplitude you can verify that they're the amplitude of the back. It's small and these high speed X. ray videos done at young huge bangs live you can see the background doesn't move doesn't move very much as they shake. OK now that one of the in one of the most interesting about biology is that diversity is the spice of life. So these animals have to get they've got to be asleep go from a very small size the size of a mouse all the way to a grizzly bear and still figure out how to get the shaking mechanism to work it all these different sizes so I try to design a washing machine that works in the pocket and works as big as your car and let's see how that how they do that. This is the smallest shaker in the world. It's a mouse and it shakes quite fast. Thirty times per second. So in a single second it will shake thirty times and you see as effective at removing water you get a little larger This is a rat is a. Shakes about twenty times per second. So it's slower than the mouse but still still capable of removing water. You know it's the mice and the rat they tend to lift their front paws up off the surface. The other animals keep their four paws in the ground. We don't know why that is the other thing you'll notice is they keep their eyes closed. I like to call the shaky bacon. This animal. It's a pig it shakes at ten herds so ten times per second. So this is becoming in the realm of what is reasonable. You see is also pretty good at getting rid of some of these hay particles and things like that. We were surprised at how good the sheep was sheep of lanolin in there and their fur which makes a pretty water appeal. But you see it's actually quite quite good shaking surprisingly good. So that's only six times per second. So we're getting slower and slower and as and the animals are getting more ferocious. So we went to the zoo this is another animal from the zoo we. And by we I mean my grad student and hos. We filmed this animal this is a bear as about four times per second. Of course the most ferocious animal of all. Humans. So you can go you can try this at home you can only shake your head at most two to three times per second. Is that you know no she she didn't want to be a social with our experiments. So there's this trend this clear and obvious trend that the small animal shaking faster. Why why is that. Now my answer is that all these animals. If you're a drop in an animal you don't know if you're on a grizzly bear or you're a mouse. So the drops have the same physics associate with them. And in particular and the animals hair transplants or form. Bottles for these animals to lose this water equally easily. They basically have to have the same central force to fight the surface tension of the draw. Because the animals gets smaller you get a smaller radius with the with decreasing size they have to compensate by increasing their frequency to increase the central force. So let's see if this this hypothesis matches the experiment with the first is that this this this is a fact found by McMahon how basically the mass of animals changes with their crossing. The radius. Basically is smaller and lighter animals have a smaller radius as you expect. The second is found by Tate he was a pharmacist actually he. He actually invented I.V. dripping. But basically he found that if you have well he didn't actually use a tuft of hair but he used a tube of varying radius. If you have the radius to Tube you can predict precisely how heavy this job is going to be one of the jacks. And the force balance that dictates the size of this drop is the central force which depends on the. The velocity squared or the frequency and amplitude of the shake. And the radius of course. And the surface tension which is basically the circumference of the drop to pod times the radius of the drop. Here we use the radius of the hair clump because that's where it's contacting the solid. There is not a function here to the fact that some of the drop is left behind as objects. But this relation between the center before the surface and in states shows you how frequency of the animal should scale with radius of the body and we substitute radius for mass because it's easier to measure. So this day this prediction States as the animal frequency as the animal mass goes up the frequency should go down to the negative exponent. There is how the experiment prediction matches with the experiments we studied about thirty five animals sixteen species and eight dog breeds. And they all fall along this pretty nice fit. It's pretty good. If you see this is five orders of magnitude in mass it's rare rare you can have such a large X. axis the Y. axis goes between it was three to about thirty times per second. The best fit to this line is has an exponent of point two two where the theory is point one nine. So it's quite close. Considering that we didn't take anything of the animal into account. We only took the physical. Drop. Some you might wonder well maybe this is just do the larger animals tend to go. They tend to go slower just because they're size but scaling from the editor for example on the trot gallop transition. They see how quickly they can move their legs. When they transition from trouble from a trot to a gallop they have a very different exponent point one four compared to point one zero point two two. So it's not simply due to the fact that they're larger they actually believe they're actually tuned into these drop sizes. So we believe this finding in the future will be useful for autonomous robots. There is some nice examples of autonomous robots for example this Mars rover. There are basically lose their capabilities because of exposure to dust. In this case the power of lost on these sensitive solar panels due to collection of dust and only regain power once a wind swept through and blew the dust free. So for a robot to be truly autonomous it really has to learn to remove particles from itself. Another inside this study provides is that this is a this mechanism is really terrible for the fluids of different properties. I call this an engine mechanism ill suited for modern times. Basically it is very mammals they evolve loose skin to aid with locomotion shivering eventually turn to shaking with a combination of for this all the only ways to get rid of water are dense oily hair like these otters do or to have this inertial shaking at a very high frequencies where centripetal forces beat surface tension. But you can you can check pretty easily that this doesn't work if the if the fluid has a very long time scale for example crude oil drips very slowly and that is all any animal that's coated in a high viscosity fluid will not be able to do this and that's a large reason why these oil spills are such a problem. So I'm going to try to wrap up. I talk about three very different topics. But they all dealt with surface tension. We saw that basically synthetic fabrics and plants they basically have a combination of chemistry and bumpiness that acts to repel water. And animals are because they're able to move and have all these different properties from plants. They've learned to of how water in very different ways the ants they can build services by linking together these mosquitoes. Their mass dictates the impact phenomenon. And these mammals they do what we call active water repellent see where this is a new idea in the literature you use energy to remove drops. And in terms of waiting for evaporation it's actually very effective. So I will leave you with this thought of active water policy which is involving construction or use of energy compared to passive water policy involving structure. A lot of the reason I was able to do this work is because my joint position in biology in which I basically teach a new class every two years based on and six. So that I taught a class two years ago on and on and it was called and lab this year were teaching a class on insect flight. They'll be a poster session based on their work in about two weeks. If you're interested in learning more and another thought I'd like to leave you with is that I think these images and these problems are a great way to teach physics to young audiences. This is this is one of the articles that was written on our work and see these these cute little ants. I think it's I think kids really like this stuff. So I'm with that I'm happy to open the floor for any questions. Thank God. That's a good question. I get asked that sometimes that can't. The answer so going to cooperate in can they actually like road themselves all together. It seems that hasn't happened yet. In part because so they had to build a raft very quickly within two hundred seconds. They built that you imagine have this flash for They've got to build it almost instantaneously as well into the answers randomly oriented so each of them is facing a different direction. Some of them are maybe even sideways and so their legs are all pointed in different directions so they can't seem to I think if they're pointed all in the same direction maybe they might be to row together but because they're all pointed in opposite directions. They don't seem to be able to coordinate. It is very the end raft I mean if you play with it in the lab it's surprisingly. Drag drag it has very low drag. So you just blow it. This thing will just simply it will simply just glide very easily and because it's mostly air. So it is it is quite possible if they could just basically coordinate themselves but they just they just only are oriented properly. Yeah. It takes it takes them longer to disassociate but they do have to do that especially when they get to land when they basically get to to land they only have a couple seconds to realise lands there and then they have to grab on to land. So they do have to sense land is there but it's not as quick partly. A lot of the so one basic thing about the swarm systems is that they only have local information. So only the ants touching land will know that there. They have to get there. Whereas in the rat. They're all just trying to get the hell out of there as quickly as they can. So they're all running in random directions. So they don't really need to have this directionality associated so it is slower but they do have they do disassociate. Thanks to. The There's one thing that's always struck me and a lot of these experiments are actually quite difficult to do because any small traces of Sir fact in these for example you're if you're close you go like this with your clothes. They're small but you detergent anything any of it is small resist residues will cause these rafts to sink immediately and everyone to drown Basin the plaster on layer is dissipated if you have lower surface tension and they basically can't breathe underwater any longer. So in the lab it's almost it's almost impossible to do unless one is very very careful. When the while there's a whole bunch of biofilms and other things on the surface that would also think that would rule. Lower the surface tension. These animal spent a great deal of time cleaning themselves in the wild they'll clean themselves basically half the time so I think partly it's a deal with those kinds of things but it's it's a good question. I think is a question of chemistry and but I think it's it is pertinent but we don't really know the answer to that when the water is only three percent lower surface tension than fresh water which is a high surf attention of of water combine with anything else so they can flow in salt water and often they'll actually they'll float for weeks some because they're on this in the panels of Brazil so sometimes they get swept out of the ocean so that someone is off the float for weeks before hitting land and now if they start eating shell there. And that's been documented. Yeah. In the back. So I always I'm when I describe the AFT I always think that it's worse to be on the bottom because that's where it's wet and cold. And there is turnover for example we try to take a picture one. Of what the raft bottom looks like is kind of a Zen thing. And what we did was pick off the mass of the top. But what it turns out is that they ask the bottom will only stay there if they're And from the top. So as you pick the ones on top the whole thing shrinks. And which states the end sort of they and this is been documented before they have little sensors. For example. They'll stay in these configurations only if they feel feet on top of them as soon as you don't get enough feet on top of them they'll release their neighbors. But also requires a lot of coordination we don't understand. For example if you're on the bottom. You've got you've got five or six neighbors and the links are one way one someone grabs you or you grab somebody but somehow. If they want to escape they can they can sort of tell their friends I want to escape when they like go. So it's it's. It's not clear how they do that but they they do exchange they do exchange. If there's less ants on top and sometimes they'll just exchange randomly if there's no one walking on them. You'll see a hole in the raft and eventually they'll get filled. Yeah. The question is why what sets the equilibrium height of the raft. Well. I think. I think part like I said if I think partly there are some strength issues. If it becomes a single layer it's actually not very strong and they have this rule that the they have to be underneath other and so there was not just escape but there's I mean there's also evolutionary pressures and things like that if there were a third layer there basically an extra safe there because they were basically birds picking the ass off from the top and fishing and from the bottom. So I think if there were a third there everyone would want to be sandwiched in the middle. But if there are basically people on the top there to being in. On the bottom being in that is sort of more fair. So I think somehow that's what ended up. So. There's I think there's a probably written Point reason why there's not more than two layers. We document they build these towers and things like the big arcs there's many layers in the bivouacs So they're capable of building very many layers. But they just don't for the RAF's I think is do this because of these these these pressures and things like that. Yeah. I just reviewed a paper on this last week and. These these fire ants. They're very territorial so one colony will basically. Basically is very seldomly aligned with another if you have two rats from different colonies they'll just totally be like pirate ships. They'll totally at their base and link together to form this mound and then kill each other and everyone will die. There is no survivors. So you don't want to rouse them touching each other. If you do that then I think it's OK as long as they're from the same they they can sense almost instantaneously. If there is someone from the same or different colony. Yeah. In the back. I think. I actually I don't know to be tough to study. First of all but. I do think you are somewhat protected if you close them but maybe if they also get dizzy if they keep their eyes open and look at the world going that quickly. But they they do they all tended they all tend to do that. So it's it is a quite a large number of G.'s I mean if you can imagine moving thirty times for a second. That's it that's quite fast. So there's not really much President for animals dealing with that many G.'s. Maybe if there were we could see if they also close our eyes. Yeah. Yes yes that's true. Our model base is just consider the base of the the top of the back. That's the only place you can measure the amplitude. And I as I said we measured how the rats are after the shaking and the base and thirty percent the water remaining I think a lot of that is on places that they're basically not they're not be able to move like on their hind quarters and things like that they generally they stay somewhat but those are sort of away from the core regions of their body. So maybe that's less less per person per day to them. I mean sometimes you'll see dogs. They'll sort of whip their tail afterward to get rid of the watermen tail but they definitely don't stand on their front legs and shake their back as well. So there. They've basically I think they've done as best they can but you're right there are some parts that are probably remain sopping softening but the thing about capillary is if you have parts on the dogs that are wet they'll sort of seep sort of equilibrium sort of seep in me and make the whole dog medium leeway. So I think if they wait a little while. Eventually they'll be to shake again and that water will be a bit come off. Well thanks for all your questions. I hope you enjoyed the talk. Thank you.