The initial angular velocity and the angular acceleration of fourrotating object

Question

The initial angular velocity and the angular acceleration of fourrotating objects at the same instant in time are listed in thetable that follows. For each of the objects (a), (b), (c), and (d),determine the final angular speed after an elapsed time of2.5 s. Initial angularvelocity 0 Angularacceleration (a) +16.5rad/s +5.0rad/s2 (b) +16.5rad/s -5.0rad/s2 (c) -16.5rad/s +5.0rad/s2 (d) -16.5 rad/s -5.0 rad/s2
(a) Final angular speed = (b) Final angular speed = (c) Final angular speed = (d) Final angular speed = ( Initial angularvelocity 0 Angularacceleration (a) +16.5rad/s +5.0rad/s2 (b) +16.5rad/s -5.0rad/s2 (c) -16.5rad/s +5.0rad/s2 (d) -16.5 rad/s -5.0 rad/s2

Explanation / Answer

    time interval, t = 2.5 s     Initial angular velocity0 Angular acceleration (a) +16.5rad/s +5.0rad/s2 (b) +16.5rad/s -5.0rad/s2 (c) -16.5rad/s +5.0rad/s2 (d) -16.5rad/s -5.0rad/s2        Final angular speed, =o + t (a)     = 16.5 + ( 5 * 2.5 )         = 16.5 + 12.5         = 29 rad / s (b)         = 16.5 + ( - 5 * 2.5 )         = 16.5 - 12.5         = 4 rad /s (c)     = - 16.5 + ( 5 * 2.5 )         = - 16.5 + 12.5         = - 4 rad /s (d)     = - 16.5 + ( - 5 * 2.5 )         = - 16.5 -12.5         = - 29 rad / s

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