While at the county fair, you decide to ride the Ferris wheel. Having eaten too

Question

While at the county fair, you decide to ride the Ferris wheel. Having eaten too many candy apples and elephant ears, you find the motion somewhat unpleasant. To take your mind off your stomach, you wonder about the motion of the ride. You estimate the radius of the big wheel to be 12m , and you use your watch to find that each loop around takes 23s.

part A) What is your speed?

part B) What is the magnitude of your acceleration?

part C) What is the ratio of your weight at the top of the ride to your weight while standing on the ground?

part D) What is the ratio of your weight at the bottom of the ride to your weight while standing on the ground?

Explanation / Answer

v = 2 pi r / T = 2 pi 12 m / 23 s = 3.278 m/s

a = v^2 / r = (3.278 m/s)^2/ 12 m = 0.895 m/s^2

at the top wapp/ w = m (g - a)/ (m g) = 1 - a/g = 1 - 0.895/9.81 = 0.9087

at bottom wapp/w = m (g+a)/ (m g) = 1 + a/g = 1 + 0.895/9.81 = 1.091

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