A pulley having a 5.0-cm radius is turning at 30 rev/s about its central axis. It is slowed down uniformly to 20 rev/s in 2.0 s. Calculate the angular acceleration of the pulley, the angle through which it turns in this time, the length of belt it winds in that same time

A pulley having a 5.0-cm radius is turning at 30 rev/s about its central axis. It is slowed down uniformly to 20 rev/s in 2.0 s. Calculate the angular acceleration of the pulley, the angle through which it turns in this time, the length of belt it winds in that same time

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Question

A pulley having a 5.0-cm radius is turning at 30 rev/s about its central axis. It is slowed down uniformly to 20 rev/s in 2.0 s. Calculate

the angular acceleration of the pulley,
the angle through which it turns in this time,
the length of belt it winds in that same time.

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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