Express your answer in radians. At what time does the wheel stop? Exp What was t

Question

Express your answer in radians. At what time does the wheel stop? Exp What was the wheel's angular acceleration asit slowed down? Express your answer in radians persecond per second. ress your answer in seconds. At what time does the wheel stop? Exp What was the wheel's angular acceleration asit slowed down? Express your answer in radians persecond per second. ress your answer in seconds. What was the wheel's angular acceleration asit slowed down? Express your answer in radians persecond per second.

Explanation / Answer

Initial angular speed w = 23 rad / s Angular accleration = 35 rad /s ^ 2 time t = 2.4 s Angular displacement in time t is ' = wt + ( 1/2) t ^ 2                                                       = 55.2 + 100.8                                                       = 156 rad Angular displacement = 438 rad Total angular displacement = + '                                          = 594 rad angular velocity after time t is w ' = w + t                                                  = 107 rad / s final angular speed w " = 0 rad / s from the relation w " ^ 2 - w ' ^ 2 = 2 ' from this angular deceleration ' = [ w" ^ 2 - w'^ 2 ] / 2                                                   =-13.06 rad / s ^ 2 from the relation w " = w ' + ' t ' So, required time t ' = ( w " - w ' ) / '                               = 8.18 s

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