At time t = 0 s,a wheel has an angular displacement of zero radians and an angular velocity of +14 rad/s.The wheel has a constant acceleration of -0.41 rad/s².In this situation,the time at which the angular displacement is + 88 rad and decreasing is closest to: A)61 s B)34 s C)7 s D)6 s E)74 s

Question

Quizplus · Accepted Answer

The angular displacement is given by θ = ω₀t + 0.5αt². Setting θ = 88 rad, ω₀ = 14 rad/s, and α = -0.41 rad/s², solve for t. The quadratic equation gives two solutions, and the larger one corresponds to when the displacement is decreasing.

At Time T = 0 S,a Wheel Has an Angular