part a\nwhat is its angular acceleration?\nexpress your answer with the appropriate units.\nan electric fan…

part a\nwhat is its angular acceleration?\nexpress your answer with the appropriate units.\nan electric fan goes from rest to 2200 rpm in 4.1 s.\nthe unit you entered is not recognized. review a list of acceptable units.\nno credit lost. try again.\nvalue\nunits\nprovide feedback\nsubmit\nprevious answers\nrequest answer

part a\nwhat is its angular acceleration?\nexpress your answer with the appropriate units.\nan electric fan goes from rest to 2200 rpm in 4.1 s.\nthe unit you entered is not recognized. review a list of acceptable units.\nno credit lost. try again.\nvalue\nunits\nprovide feedback\nsubmit\nprevious answers\nrequest answer

Answer

Explanation:

Step1: Convert initial and final angular - speeds to rad/s

The initial angular speed $\omega_0 = 0$ (since it starts from rest). The final angular speed $\omega$ in rad/s: First, convert 2200 rpm to rad/s. We know that 1 revolution = $2\pi$ radians and 1 minute = 60 s. So $\omega=2200\times\frac{2\pi}{60}\text{ rad/s}\approx2200\times\frac{2\times3.14}{60}\text{ rad/s}\approx230.38\text{ rad/s}$.

Step2: Use the angular - acceleration formula

The formula for angular acceleration $\alpha=\frac{\omega-\omega_0}{t}$. Substitute $\omega_0 = 0$, $\omega\approx230.38\text{ rad/s}$, and $t = 4.1\text{ s}$ into the formula. Then $\alpha=\frac{230.38 - 0}{4.1}\text{ rad/s}^2\approx56.2\text{ rad/s}^2$.

Answer:

$56.2\text{ rad/s}^2$