In linear motion, the energy is given by 1⁄2mv 2. Similarly, in rotational motion, the rotational energy is given by {{}}
A)1/2 × I × ω; where I: moment of inertia of the body, ω: angular velocity
B)1/2 × I² × ω; where I: moment of inertia of the body, ω: angular velocity
C)1/2 × I × ω²; where I: moment of inertia of the body, ω: angular velocity
D)1/2 × I² × ω²; where I: moment of inertia of the body, ω: angular velocity

Question

Quizplus · Accepted Answer

The correct formula for rotational kinetic energy is 1/2 × I × ω², where I is the moment of inertia and ω is the angular velocity. This is analogous to the linear kinetic energy formula 1/2mv², with I playing a role similar to mass (m) and ω similar to linear velocity (v).

In Linear Motion, the Energy Is Given by 1⁄2mv 2