A rotating disk has an angular velocity of 10 rad/s. What is its angular momentu

Practice Questions

Q1
A rotating disk has an angular velocity of 10 rad/s. What is its angular momentum if its moment of inertia is 2 kg·m²?
  1. 20 kg·m²/s
  2. 10 kg·m²/s
  3. 5 kg·m²/s
  4. 15 kg·m²/s

Questions & Step-by-Step Solutions

A rotating disk has an angular velocity of 10 rad/s. What is its angular momentum if its moment of inertia is 2 kg·m²?
  • Step 1: Identify the formula for angular momentum, which is L = Iω.
  • Step 2: Identify the moment of inertia (I) given in the problem, which is 2 kg·m².
  • Step 3: Identify the angular velocity (ω) given in the problem, which is 10 rad/s.
  • Step 4: Substitute the values into the formula: L = 2 kg·m² × 10 rad/s.
  • Step 5: Perform the multiplication: 2 × 10 = 20.
  • Step 6: Write the final answer for angular momentum: L = 20 kg·m²/s.
  • Angular Momentum – Angular momentum (L) is the product of the moment of inertia (I) and the angular velocity (ω) of a rotating object.
  • Moment of Inertia – Moment of inertia (I) 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 Velocity – Angular velocity (ω) is the rate of change of angular position of an object, measured in radians per second.
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