Answer:
The angular acceleration of the ceiling fan is 4 rad/s².
Explanation:
Given;
initial angular speed of the ceiling fan, [tex]\omega _i = 0[/tex]
final angular speed of the ceiling fan, [tex]\omega _f = 16 \ rad/s[/tex]
time of motion, t = 4.0 s
The angular acceleration is calculated as;
[tex]\omega _f = \omega _i + \alpha t\\\\16 = 0 + \alpha (4)\\\\16 = \alpha (4)\\\\\alpha = \frac{16}{4}\\\\\alpha = 4 \ rad/s^2[/tex]
Therefore, the angular acceleration of the ceiling fan is 4 rad/s².
