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 14 m, and you use your watch to find that each loop around takes 29 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 the magnitude of your apparent weight to the magnitude of your true weight at the top of the ride? Express your answer using two significant figures.

Explanation / Answer

part A

we know

time period=2*pi*r/v=2*pi*14/v=29

so we got v=3.03 m/s

part B

a=accleration=v^2/r=0.65 m/s^2

part C

at the top

apparent weight=mg-ma

true weight=mg

ratio=(g-a)/g=1-a/g=0.93

ratio=0.93:1

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