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Smarter Every Day theme music Hey it#39’s me Destiny. Welcome back to Smarter Every Day. Today IN#39’m at the Lambada Research Center, it#39’s run by Rainforest Expeditions, and we#39’re going to calculate the force that grasshopper uses to jump with. First thing we#39’re going to do is we're going to weigh the grasshopper. So this envelope, we#39’re going to zero our scale, so. And then put the grasshopper in the envelope, so you know force mass x accelerations we are going to figure out the mass of the grasshopper, and we're going to use this high speed camera to calculate the acceleration of the grasshopper. So how much does our... wait we warn#39’t, yeah we were...0.1 gram? That sounds right, Mr entomologist? — Sounds about right. — Alright. Now we have to measure a length of his legs if you can measure any feature that we can get. We#39’ll do this in millimeters. That's the long skinny one on the back? — Yep, so that is called the tibia just like with us. — It's a tibia just like us?- Yep — So what do you have, looks like 15 mm?- Yeah.(Destiny) Got it. Laugh That was fast, I got it. Music Camera ready.- 3. 2. 1.(Destiny) Got it. — Oh yeah! — Alright so now we're going to calculate what its acceleration rate was. We're going to basically plot how fast he went based on that measurement from his femur and his tibia right?- Yeah. — Alright and we'll figure out how much force a grasshopper leg has. I recorded two high speed videos of grasshoppers hopping in the Amazon. I'm going to calculate the acceleration of one, and if you so choose you can calculate the acceleration for the second one. Only take a couple of minutes and I know you#39’re smart enough. The first thing you#39’re gonna does download some software called tracker. Links below. All you do islet tracker, and you import a video file from the grasshopper hoppingOnce you have it in there now we have to set our scale factor. All you does wait till the grasshopper's hopping so that his leg is stretched outing the plane that the camera's looking at. Once you get to that point you simply create the ratio by clicking the gauge length of his legend setting it to 15 mm. After that you go back to the initial frame. And at this point we're going to select a track point about his eye. The reason we use the eye is that it has good contrast with the background. At this point we can set the track point and begin to play the file and create a velocity vs time curve of the grasshopper hopping out of the screen. Once behave this velocity vs time curve all we have to do is create the slope of this line and that's acceleration. Derivative simply means slope of the tangent line. That's what we#39’ve done here. The derivative of velocity is acceleration. So once we have this slope of the line you can see right there the acceleration of this grasshopper is just over 400 meters per second squared. Now all we have to do is use force mass x acceleration, and you can calculate the force that a grasshopper...
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