Question Detail

PHY 101 Rotational Motion Objective Question

Question

The rotational kinetic energy K_R of an object with moment of inertia I rotating at angular speed ω is given by
Options
A K_R = ½ Iω
B K_R = ½ I²ω
C K_R = Iω²
D K_R = ½ Iω²
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

The formula for rotational kinetic energy is K_R = ½ Iω². It is analogous to the translational kinetic energy formula ½ mv², with I replacing m and ω replacing v.

Hint

This formula is the rotational analog of ½ mv². The factor of ½ and the square on the speed are retained.

Question Info