Given:
The frequency of the object, f=60 Hz
The radius, r=1 m
To find:
The rotational velocity of the object.
Explanation:
The angular velocity/rotational velocity of the object is given by,
[tex]\omega=2\pi f[/tex]
On substituting the known values,
[tex]\begin{gathered} \omega=2\pi\times60 \\ =377\text{ rad/s} \end{gathered}[/tex]
The linear velocity of the object is given by,
[tex]v=\omega r[/tex]
On substituting the known values,
[tex]\begin{gathered} v=377\times1 \\ =377\text{ m/s} \end{gathered}[/tex]
Final answer:
The rotational velocity of the object is 377 rad/s
