A block with mass 10.0 [kg] is attached to a string tightly wound to circular frictionless pulley of radius 0.300[m]. The block is dropped from a height of 2.50 [m] from the ground. Right before the block hits the ground, the pulley of unknown mass was found to have an angular velocity of 9.00 [rad/s]. What is the angular acceleration of the pulley?

A block with mass 10.0 [kg] is attached to a string tightly wound to circular frictionless pulley of radius 0.300[m]. The block is dropped from a height of 2.50 [m] from the ground. Right before the block hits the ground, the pulley of unknown mass was found to have an angular velocity of 9.00 [rad/s]. What is the angular acceleration of the pulley?

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Question

A block with mass 10.0 [kg] is attached to
a string tightly wound to circular frictionless pulley of
radius 0.300[m]. The block is dropped from a height of
2.50 [m] from the ground. Right before the block hits the
ground, the pulley of unknown mass was found to have
an angular velocity of 9.00 [rad/s]. What is the angular
acceleration of the pulley?

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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