Question Detail

PHY 101 Mechanical Equilibrium and Rotational Dynamics Objective Question

Question

The rotational kinetic energy of a rigid body is given by which of the following formulas, where I is the moment of inertia and ω is the angular velocity?
Options
A ½ I ω
B ½ I ω²
Correct Answer
C I ω
D I ω²
Correct Answer

Option B is the correct answer.

Detailed Explanation

Rotational kinetic energy is directly analogous to translational kinetic energy (½ m v²). By substituting moment of inertia I for mass m, and angular velocity ω for linear velocity v, the formula becomes KE_rot = ½ I ω².

Hint

Think of the similarity between linear motion (KE = ½ mv²) and rotational motion.

Question Info