What is the magnitude of the angular acceleration of the fan? (2 pts) (b) Through what angle (in degrees) does it turn while it is slowing down during the 6.00 s? (1 pt) (c) If its angular acceleration does not change, how long after it is turned off does it take the fan to stop.

What is the magnitude of the angular acceleration of the fan? (2 pts) (b) Through what angle (in degrees) does it turn while it is slowing down during the 6.00 s? (1 pt) (c) If its angular acceleration does not change, how long after it is turned off does it take the fan to stop.

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Question

Problem 2: When a 3.75-kg fan, having blades 22.5 cm long, is turned off, its angular speed decreases uniformly from 11.0 rad/s to 7.20 rad/s in 6.00 s.

(a) What is the magnitude of the angular acceleration of the fan? (2 pts) (b) Through what angle (in degrees) does it turn while it is slowing down during the 6.00 s? (1 pt) (c) If its angular acceleration does not change, how long after it is turned off does it take the fan to stop.

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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