Answer:
The angular displacement of the wheel is 45 radians
Explanation:
Given;
initial angular velocity, ω₀ = 20 rad/s
final angular velocity, ωf = 10 rad/s
time interval, t = 5
Angular acceleration is calculated as;
[tex]\alpha = \frac{\omega _f - \omega_0}{t} \\\\\alpha = \frac{10 -20}{5} \\\\\alpha = -2 \ rad/s^2[/tex]
|α| = 2 rad/s²
Angular displacement is calculated as;
[tex]\theta = \omega_0 \ + \ \frac{1}{2} \alpha t^2\\\\\theta = 20 \ + \ \frac{1}{2} *(2)*5^2\\\\\theta = 20 \ + 25\\\\ \theta = 45 \ radians[/tex]
Therefore, the angular displacement of the wheel is 45 radians
