An electric fan is turned off, and its angular velocity decreases uniformly from 500 rev/min to 200 rev/min in 4.00 s, (a) Find the angular acceleration in rev/s² and the number of revolutions made by the motor in the 4.00-s interval. (b) How many more seconds are required for the fan to come to rest if the angular acceleration remains constant at the value calculated in part (a)?
Rigid Body
A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.
Rigid Body Dynamics
Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).
![An electric fan is turned off, and its angular
velocity decreases uniformly from 500
rev/min to 20o rev/min in 4.00 s. (a) Find the
angular acceleration in rev/s? and the
number of revolutions made by the motor in
the 4,00-s interval. (b) How many more
seconds are required for the fan to come to
rest if the angular acceleration remains
constant at the value calculated in part (a) ?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F20a4501c-42be-45c6-8347-a6786b7fde21%2F76674933-6032-4707-847f-02f436c74cdf%2Fxsvmjbd_processed.jpeg&w=3840&q=75)
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