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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:

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: Correct Answer 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.

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