If a rotating object has a moment of inertia of 5 kg·m² and is rotating with an

Practice Questions

Q1
If a rotating object has a moment of inertia of 5 kg·m² and is rotating with an angular velocity of 3 rad/s, what is its angular momentum?
  1. 15 kg·m²/s
  2. 5 kg·m²/s
  3. 8 kg·m²/s
  4. 10 kg·m²/s

Questions & Step-by-Step Solutions

If a rotating object has a moment of inertia of 5 kg·m² and is rotating 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 5 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 = 5 kg·m² * 3 rad/s.
  • Step 5: Calculate the result: L = 15 kg·m²/s.
  • Angular Momentum – Angular momentum (L) is a measure of the rotational motion of an object, calculated as the product of its moment of inertia (I) and its angular velocity (ω).
  • Moment of Inertia – Moment of inertia (I) is a scalar value that represents how mass is distributed relative to the axis of rotation, affecting how much torque is needed for a desired angular acceleration.
  • Angular Velocity – Angular velocity (ω) is the rate of rotation of an object, measured in radians per second (rad/s).
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