Answer:
The time to attain the maximum angular velocity is 0.33 s.
Explanation:
Given;
angular acceleration of the fan, α = 150 rad/s²
maximum angular velocity, [tex]\omega_f[/tex] = 50 rad/s
When a fan is switched on, the initial angular velocity, [tex]\omega_i = 0[/tex]
The time to attain the maximum angular velocity is given by;
[tex]\omega_f = \omega_i +\alpha t\\\\50 = 0 + 150t\\\\t = \frac{50}{150}\\\\t = 0.33 \ s[/tex]
Therefore, the time to attain the maximum angular velocity is 0.33 s.