Find the angular acceleration of the disk about its center of mass. Express your answer in radians per second squared. b)If the disk is replaced by a hollow, thin-walled cylinder of the same mass and diameter, what will be the angular acceleration of the disk about its center of mass?

Find the angular acceleration of the disk about its center of mass. Express your answer in radians per second squared. b)If the disk is replaced by a hollow, thin-walled cylinder of the same mass and diameter, what will be the angular acceleration of the disk about its center of mass?

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Question

A thin, light string is wrapped around the rim of a 4.10-kg, solid, uniform disk (similar to a puck on ice without friction) that is 34.0 cm in diameter. A person pulls on the string with a constant force of 98.00 N tangent to the disk, as shown in the figure below (Figure 1). The disk is not attached to anything and is free to move and turn.

a)Find the angular acceleration of the disk about its center of mass.

Express your answer in radians per second squared.

b)If the disk is replaced by a hollow, thin-walled cylinder of the same mass and diameter, what will be the angular acceleration of the disk about its center of mass?

Express your answer in radians per second squared.

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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