An electric fan is turned off, and its angular velocity decreases uniformly from 720 rev/min to 200 rev/min in a time interval of length 3.25 a. find the angular acceleration in rev/s b. find the number of revolutions made by the motor in the time interval of length 3.25 c. 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?

An electric fan is turned off, and its angular velocity decreases uniformly from 720 rev/min to 200 rev/min in a time interval of length 3.25. The angular acceleration is 2.67 rev/s². The angular displacement θ = 26.99 rev. The time required for the fan to come to rest if the angular acceleration remains constant is 4.5 seconds.

The angular acceleration which is also known as rotational acceleration is the change of angular velocity with time.

∴

b.

The angular displacement refers to the number of revolutions made by the motor which can be computed as:

angular displacement θ = 26.99 rev

c.

The time required for the fan to come to rest if the angular acceleration remains constant is calculated by using the formula:

Therefore, we can conclude that the angular acceleration is 2.67 rev/s². The angular displacement θ = 26.99 rev. The time required for the fan to come to rest if the angular acceleration remains constant is 4.5 seconds

Learn more about angular acceleration here:

link