Question

A ceiling fan starts from rest and reaches a speed of 16.0 rad/s in 4.0 sec. What is its angular acceleration

Answer 1

The angular acceleration of the ceiling fan is 4 rad/s².

Step-by-step explanation:

Given;

initial angular speed of the ceiling fan,
`\omega _i = 0`

final angular speed of the ceiling fan,
`\omega _f = 16 \ rad/s`

time of motion, t = 4.0 s

The angular acceleration is calculated as;

`\omega _f = \omega _i + \alpha t\\\\16 = 0 + \alpha (4)\\\\16 = \alpha (4)\\\\\alpha = (16)/(4)\\\\\alpha = 4 \ rad/s^2`

Therefore, the angular acceleration of the ceiling fan is 4 rad/s².