Question

The rotational kinetic energy of a body is directly proportional to- (ω is angular velocity of the body)
1. ω
2. ω²
3. ω³
4. ω^-2

Answer 1

Correct Answer - Option 2 : ω²

The correct answer is option 2) i.e. ω².

CONCEPT:

• Rotational kinetic energy(Erotational): The kinetic energy possessed by a body due to its rotational motion is called rotational kinetic energy.
  • ​It is a part of the total kinetic energy of the body.
  • It is also called angular kinetic energy.

​EXPLANATION:

• The rotational kinetic energy is directly proportional to the square of the angular velocity.

The rotational kinetic energy (KE_R) is given by the formula:

KE_R = \(\frac{1}{2}Iω^{2}\)

Where I is the moment of inertia and ω is the angular velocity of the body