Question

If a body of moment of inertia I is rotating with an angular velocity ω, then the angular momentum of the body is equal to:
1. Iω
2. I²ω
3. Iω²
4. None of these
5.

Answer 1

Correct Answer - Option 1 : Iω

CONCEPT:

Angular momentum:

• Angular momentum is the property of any rotating object given by moment of inertia times angular velocity.
  • It is a vector quantity.
  • Its SI unit is kg-m²/sec.
• If I and ω are the moment of inertia and the angular velocity respectively, then the angular momentum is given as,

⇒ L = Iω

⇒ L = rP

Where r = radius of rotation and P = linear momentum

EXPLANATION:

• Angular momentum is the property of any rotating object given by moment of inertia times angular velocity.
• If I and ω are the moment of inertia and the angular velocity respectively, then the angular momentum is given as,

⇒ L = Iω

• Hence, option 1 is correct.