Question

A figure skater begins spinning counterclock-

Answer 1

Answer:

The average angular acceleration of the skater is 0.98 rad/s².

Explanation:

Given:

Initial angular speed of the skater is, $\omega_i=3.27\ rad/s$

Final angular speed of the skater is, $\omega_f=7.77\ rad/s$

Time interval for the change is, $t=4.6\ s$

We know that, average angular acceleration is given as the ratio of change of angular speed and the time interval.

Therefore, the average angular acceleration is given as:

$\alpha =\dfrac{\omega_f-\omega_i}{t}\\\\\\\alpha =\dfrac{7.77-3.27}{4.6}\\\\\alpha=\dfrac{4.5}{4.6}\\\\\alpha=0.98\ rad/s^2$

Hence, the average angular acceleration of the skater is 0.98 rad/s².