The moment of inertia of a body about the given axis, rotating with angular velocity $1 \mathrm{rad} /…

The moment of inertia of a body about the given axis, rotating with angular velocity $1 \mathrm{rad} / \mathrm{s}$ is numerically equal to ' $\mathrm{P}$ ' times its rotational kinetic energy. The value of ' $\mathrm{P}$ ' is
  1. $\frac{1}{4}$
  2. $\frac{1}{2}$
  3. $2$
  4. $1$

Solution

The angular velocity $\begin{aligned} & \omega=1 \mathrm{rad} / \mathrm{s} \\ & I=P \cdot\left(\frac{1}{2} I \omega^2\right) \\ & \therefore P=2 \end{aligned}$

Asked in: MHT CET 2021 (24 Sep Shift 1)

Practice more Rotational Motion questions on Aicharya