The rotational kinetic energy of a body is
Correct answer: C. half I omega squared
- A. half m v squared
- B. I omega
- C. half I omega squared
- D. I alpha
Explanation
Replacing mass with moment of inertia and linear speed with angular speed in the familiar expression gives half I omega squared. A rolling body has both this and the translational half m v squared, which is why a ball rolling down a slope reaches the bottom more slowly than one that slides without friction. The share of the energy going into rotation depends on the shape of the body.
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About Angular Velocity
Angular velocity describes how quickly angular displacement changes with time, with ω = Δθ/Δt and units of radians per second. Questions relate angular and linear motion through v = rω, use the direction given by the right hand rule, and distinguish angular velocity from angular acceleration and ordinary frequency.
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