A wheel rotating about a fixed axis with a constant angular acceleration of 2.0 rad/s² turns through 2.4 revolutions during a 2.0-s time interval. What is the angular velocity at the end of this time interval? A) 9.5 rad/s B) 9.7 rad/s C) 9.3 rad/s D) 9.1 rad/s E) 8.8 rad/s

Question

Quizplus · Accepted Answer

Using the equation θ = ω₀t + 0.5αt², where θ = 2.4 revolutions = 2.4 * 2π rad, α = 2.0 rad/s², and t = 2.0 s, we can solve for the initial angular velocity ω₀. Then, using ω = ω₀ + αt, we find the final angular velocity ω. The calculations show that ω ≈ 9.5 rad/s.

A Wheel Rotating About a Fixed Axis with a Constant