If the moment of inertia of a body is 10 kg m², what is the angular momentum whe

Practice Questions

Q1
If the moment of inertia of a body is 10 kg m², what is the angular momentum when it rotates with an angular velocity of 5 rad/s?
  1. 50 kg m²/s
  2. 10 kg m²/s
  3. 5 kg m²/s
  4. 2 kg m²/s

Questions & Step-by-Step Solutions

If the moment of inertia of a body is 10 kg m², what is the angular momentum when it rotates with an angular velocity of 5 rad/s?
  • Step 1: Identify the moment of inertia (I) of the body, which is given as 10 kg m².
  • Step 2: Identify the angular velocity (ω) of the body, which is given as 5 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 = 10 kg m² * 5 rad/s.
  • Step 5: Calculate the result: L = 50 kg m²/s.
  • Moment of Inertia – The moment of inertia is a measure of an object's resistance to changes in its rotation, depending on the mass distribution relative to the axis of rotation.
  • Angular Momentum – Angular momentum is the product of the moment of inertia and the angular velocity, representing the rotational equivalent of linear momentum.
  • Angular Velocity – Angular velocity is the rate of change of angular position of a rotating body, measured in radians per second.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely