Answer:
[tex]\alpha=1.24\frac{rad}{s^2}[/tex]
Explanation:
The angular acceleration ([tex]\alpha[/tex]) of an object under a circular motion, is the rate of change of its angular velocity ([tex]\omega[/tex]) with respect to time. Therefore, angular acceleration is defined as:
[tex]\alpha=\frac{\omega_f-\omega_0}{t}[/tex]
Here [tex]\omega_f[/tex] is the final angular speed and [tex]\omega_0[/tex] is the initial angular speed. So, replacing the given values, we get the needed angular acceleration:
[tex]\alpha=\frac{15.5\frac{rad}{s}-8.2\frac{rad}{s}}{5.9s}\\\alpha=1.24\frac{rad}{s^2}[/tex]
