Given:
The initial angular position, θ₁=0 rad
The final angular position, θ₂=3.2 rad
The time period, t=4.2 s
To find:
The angular velocity.
Explanation:
The angular velocity is the time rate of change of angular displacement of the object.
Thus the angular velocity of the sphere is given by the ratio of the angular displacement to the time period.
Thus, the angular velocity of the sphere is given by,
[tex]\omega=\frac{\theta_2-\theta_2}{t}[/tex]On substituting the known values,
[tex]\begin{gathered} \omega=\frac{3.2-0}{4.2} \\ =0.76\text{ rad/s} \end{gathered}[/tex]Final answer:
The angular velocity of the sphere is 0.76 rad/s