w1e - Douglass Houghton Workshop Section 1 Tue Worksheet...

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Douglass Houghton Workshop, Section 1, Tue 9/21/11 Worksheet Eat Cake (Let Them) 1. Explain how to cut a square cake so that n people get the same amount of cake and the same amount of frosting. (We currently have a solution the case in which n is divisible by 4.) 2. Examine the YouTube video of the double Ferris wheel: http://www.youtube.com/watch?v=xj6DVY5s8HU Assume that when the wheel starts the big arm is horizontal, and you are seated in a chair which is as far to the right as a chair can get. (a) Use a watch to estimate the periods of the large rotation and the smaller rotation. (b) Estimate the radii of the two rotations, knowing as you do that the seats are designed for humans. (c) Write a formula for your height t seconds after the wheel starts. (d) Do the same for your horizontal position. (e) Draw a two-dimensional picture of your motion, and mark some times on the picture. Then watch the video again and see if it looks right.
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