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If a rotating object has a moment of inertia of 4 kg·m² and is spinning with an

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Question: If a rotating object has a moment of inertia of 4 kg·m² and is spinning with an angular velocity of 3 rad/s, what is its angular momentum?

Options:

  1. 12 kg·m²/s
  2. 4 kg·m²/s
  3. 1 kg·m²/s
  4. 7 kg·m²/s

Correct Answer: 12 kg·m²/s

Solution: 

Angular momentum L = Iω = 4 kg·m² * 3 rad/s = 12 kg·m²/s.

If a rotating object has a moment of inertia of 4 kg·m² and is spinning with an

Practice Questions

Q1
If a rotating object has a moment of inertia of 4 kg·m² and is spinning with an angular velocity of 3 rad/s, what is its angular momentum?
  1. 12 kg·m²/s
  2. 4 kg·m²/s
  3. 1 kg·m²/s
  4. 7 kg·m²/s

Questions & Step-by-Step Solutions

If a rotating object has a moment of inertia of 4 kg·m² and is spinning with an angular velocity of 3 rad/s, what is its angular momentum?
  • Step 1: Identify the moment of inertia (I) of the object, which is given as 4 kg·m².
  • Step 2: Identify the angular velocity (ω) of the object, which is given as 3 rad/s.
  • Step 3: Use the formula for angular momentum (L), which is L = I * ω.
  • Step 4: Substitute the values into the formula: L = 4 kg·m² * 3 rad/s.
  • Step 5: Calculate the result: 4 * 3 = 12 kg·m²/s.
  • Step 6: Conclude that the angular momentum of the object is 12 kg·m²/s.
  • Moment of Inertia – A measure of an object's resistance to changes in its rotation, dependent on the mass distribution relative to the axis of rotation.
  • Angular Velocity – The rate of rotation of an object, measured in radians per second.
  • Angular Momentum – A quantity that represents the rotational motion of an object, calculated as the product of moment of inertia and angular velocity.
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