If a rotating object has a moment of inertia of 4 kg·m² and an angular velocity

Practice Questions

Q1
If a rotating object has a moment of inertia of 4 kg·m² and an angular velocity of 3 rad/s, what is its kinetic energy?
  1. 6 J
  2. 12 J
  3. 18 J
  4. 24 J

Questions & Step-by-Step Solutions

If a rotating object has a moment of inertia of 4 kg·m² and an angular velocity of 3 rad/s, what is its kinetic energy?
  • Rotational Kinetic Energy – The energy possessed by a rotating object, calculated using the formula KE = 0.5 Iω², where I is the moment of inertia and ω is the angular velocity.
  • 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.
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