When a fan is switched on, it undergoes an angular acceleration of 150 rad/s2. How long will it take to achieve its maximum angular velocity of 50 rad/s?

Respuesta :

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.