Answer :
Answer:
- Angular velocity is 0.25 rad/s
- Angular acceleration is 0.017 rad/s²
Explanation:
Given;
initial angular displacement, θ₁ = 0 radians
final angular displacement, θ₂ = 4.5 radians
Angular velocity is calculated as;
[tex]\omega = \frac{\delta \theta}{\delta t}= \frac{4.5 -0}{18} \\\\\omega = 0.25 \ rad/s[/tex]
Angular acceleration is calculated as;
[tex]\alpha = \frac{\delta \omega}{\delta t} = \frac{\omega _f - \omega_i}{t_2 -t_1}[/tex]
where;
[tex]\omega_f[/tex] is the final angular velocity = 0 rad/s
[tex]\omega _i[/tex] is the initial angular velocity = 0.25 rad/s
t₂ is the final time of the motion = 3 seconds
t₁ is the initial time of the motion = 18 seconds
[tex]\alpha =\frac{\omega _f - \omega_i}{t_2 -t_1} \\\\\alpha = \frac{0 - 0.25}{3-18} \\\\\alpha = 0.017 \ rad/s^2[/tex]