You are standing to the South of a turning ferris wheel which is being put throu

Question

You are standing to the South of a turning ferris wheel which is being put through some safety tests; the axle of the turning wheel is oriented horizontally in the North-South direction. The wheel turns at a constant rate and makes one revolution every 22 seconds; from your point of view, the ferris wheel is turning counterclockwise (CCW). You are tracking a painted emblem on the rim of the wheel, and when you first start your stopwatch (at time zero) the emblem is at the highest point in its path. The radius of the wheel is 2.9 meters. NOTE: All of the questions in this problem have a small tolerance; not the usual 2%; be sure to save all numbers in your calculator so that you do not use rounded numbers for the later calculations. GBA a) What is the velocity of the emblem at time zero? m/s (b) At the instant that the emblem has made half a revolution, what is its change in velocity since time zero? m/s (c) What has been the emblem's average acceleration during the half-a-revolution in question? NOTE: This question has a small tolerance; not the usual 2%. m/s2 ) What was the emblem's velocity 2.75 seconds after time zero? m/s (e) What was the emblem's velocity 8.25 seconds after time zero? m/s (f) What is the emblem's change in velocity in the interval from 2.75 to 8.25 seconds? m/s (g) What is the emblem's average acceleration in the interval from 2.75 to 8.25 seconds? NOTE: This question has a small tolerance; not the usual 2%. m/s2 (h) Through what angle did the ferris wheel turn in the interval from 2.75 to 8.25 seconds? degrees

Explanation / Answer

w=2*3.14/22 =0.285 rad/s a)v =wr=0.285*2.9 =0.8278 m/s b)change in velocity =2*v =2*0.8278 =1.656 m/s

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