- Radius=r=R_o/2
- angular velocity=w=v_o
- mass=m
We know
[tex]\boxed{\sf K.E=\dfrac{1}{2}mv^2}[/tex]
For Rotational motion
[tex]\boxed{\sf v=r\omega}[/tex].
Putting value
[tex]\\ \qquad\quad\sf{:}\dashrightarrow K.E=\dfrac{1}{2}m(r\omega)^2[/tex]
[tex]\\ \qquad\quad\sf{:}\dashrightarrow K.E=\dfrac{1}{2}mr^2\omega^2[/tex]
[tex]\\ \qquad\quad\sf{:}\dashrightarrow K.E=\dfrac{1}{2}m\left(\dfrac{R_o}{2}\right)^2v_o^2[/tex]
[tex]\\ \qquad\quad\sf{:}\dashrightarrow K.E=\dfrac{1}{4}mv_o^2[/tex]
