Question

The correct expression for rotational kinetic energy of an object having moment of inertia equal to "I" and angular velocity "ω" is-
1. \(\frac{1}{2}I\omega^{2}\)
2. Iω
3. Iω³
4. I/ω²

Answer 1

Correct Answer - Option 1 : \(\frac{1}{2}I\omega^{2}\)

The correct answer is option 1) 

CONCEPT:

• Rotational kinetic energy(E_rotational): 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 given by the formula:​

​\(\frac{1}{2}I\omega^{2}\)