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20 April, 17:46

Pilots can be tested for the stresses of flying high-speed jets in a whirling "human centrifuge," which takes 1.2min to turn through 23 complete revolutions before reaching its final speed.

a. What was its angular acceleration (assumed constant) ? I got 32 rev/min 2 and it was rightB. What was its final angular speed in rpm? I tried 27 and 32 rpm but they are both wrong. Any ideas?

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  1. 20 April, 19:40
    0
    Sure.

    Can I use your answer to part-'a'?

    If the angular acceleration is actually 32 rev/min², than

    after 1.2 min, it has reached the speed of

    (32 rev/min²) x (1.2 min) = 38.4 rev/min.

    Check:

    If the initial speed is zero and the final speed is 38.4 rpm,

    then the average speed during the acceleration period is

    (1/2) (0 + 38.4) = 19.2 rpm average

    At an average speed of 19.2 rpm for 1.2 min,

    it covers

    (19.2 rev/min) x (1.2 min) = 23.04 revs.

    That's pretty close to the "23" in the question, so I think that

    everything here is in order.
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