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 13 m, and you use your watch to find that each loop around takes 26 s. What is your speed? Express your answer to two significant figures and include the appropriate units. What is the magnitude of your acceleration? Express your answer to two significant figures and include the appropriate units. What is the ratio of your weight at the top of the ride to your weight while standing on the ground? Express your answer using two significant figures.

Explanation / Answer

a) v ( speed) = 2pi r/ T = 2 x 3.14 x 13/ 26 = 3.14 m/s

b) a= v^2/ r = 3.14^2 / 13= 0.7584 m/s^2

c) weight at ground= mg

weight at the top of ride = mg - mv^2/ r

ratio = (mg - mv^2/ r )/ mg = ( g - a)/ g = 1- a/g = 1- 0.7584/ 9.8 = 0.922 apprx

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