A wheel starts from rest and has an angular acceleration of 4.0 rad/s². When it has made 10 rev its angular velocity is: A) 16 rad/s B) 22 rad/s C) 32 rad/s D) 250 rad/s E) 500 rad/s

Question

Quizplus · Accepted Answer

The angular displacement in radians for 10 revolutions is 10 * 2π = 20π rad. Using the equation ω² = ω₀² + 2αθ, where ω₀ = 0, α = 4.0 rad/s², and θ = 20π rad, we find ω = √(2 * 4.0 * 20π) = √(160π) ≈ 22 rad/s.

A Wheel Starts from Rest and Has an Angular Acceleration