After fixing a flat tire on a bicycle you give the wheel a spin. (a) If its init

Question

After fixing a flat tire on a bicycle you give the wheel a spin. (a) If its initial angular speed was7.01 rad/s and it rotated 15.0 revolutions before coming to rest, what was itsaverage angular acceleration? (Consider speeding up postive andslowing down negative.)
1 rad/s2

(b) For what length of time did the wheel rotate?
2 s (a) If its initial angular speed was7.01 rad/s and it rotated 15.0 revolutions before coming to rest, what was itsaverage angular acceleration? (Consider speeding up postive andslowing down negative.)
1 rad/s2

(b) For what length of time did the wheel rotate?
2 s

Explanation / Answer

      Initial angular velocity, o =7.01 rad/s       Final angular velocity, =0       Angular displacement, = 15rev                                           = 30 rad (a)       Angular acceleration, = (2 - o2 ) / 2                                          = - ( 7.01 )2 / ( 2 * 30 )                                          = - 0.26 rad/s2 (b)       Time interval, t = ( -o ) /                              = - 7.01 / - 0.26                              = 26.96 s

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