Question Detail

PHY 101 Rotational Motion Objective Question

Question

The rotational kinematic equation that relates final angular velocity ω, initial angular velocity ω₀, angular acceleration α, and angular displacement Δθ is
Options
A ω = ω₀ + αt
B Δθ = ω₀t + ½αt²
C ω² = ω₀² + 2αΔθ
Correct Answer
D Δθ = ½(ω + ω₀)t
Correct Answer

Option C is the correct answer.

Detailed Explanation

The equation ω² = ω₀² + 2αΔθ is the rotational analog of the linear kinematic equation v² = v₀² + 2aΔx. It is useful when time is not known or not required.

Hint

This equation does not involve the time variable t. It relates velocities, acceleration, and displacement.

Question Info