ssm Anelectric circular saw is designed to reach its final angular speed,startin

Question

ssm Anelectric circular saw is designed to reach its final angular speed,starting from rest, in 1.06 s. Its averageangular acceleration is 330rad/s2. Obtain its final angular speed.
1 rad/s
A basketball player is balancing aspinning basketball on the tip of his finger. The angular velocityof the ball slows down from 18.0 to14.1 rad/s, during the slow down theangular displacement is 84.0 rad.Determine the time it takes for the ball to slow down.
1 s

A basketball player is balancing aspinning basketball on the tip of his finger. The angular velocityof the ball slows down from 18.0 to14.1 rad/s, during the slow down theangular displacement is 84.0 rad.Determine the time it takes for the ball to slow down.
1 s

Explanation / Answer

Initial angular speed w = 0 time t= 1.06 s angular acceleration = 330 rad/s2 angular speed after time t is w ' = w +t                                                  = 349.8 rad / s (b). Initial angular speed w = 18 rad s final angular speed w ' = 14.1 rad / s angular displacement = 84 rad from the relation w ' ^ 2 - w ^ 2 = 2 angular accleration = [ w '^ 2- w ^ 2 ] /2                                = 0.745 rad / s ^ 2 So, time t = [ w ' - w ] /                = 5.233 s angular speed after time t is w ' = w +t                                                  = 349.8 rad / s (b). Initial angular speed w = 18 rad s final angular speed w ' = 14.1 rad / s angular displacement = 84 rad from the relation w ' ^ 2 - w ^ 2 = 2 angular accleration = [ w '^ 2- w ^ 2 ] /2                                = 0.745 rad / s ^ 2 So, time t = [ w ' - w ] /                = 5.233 s

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