Question

A bar on a hinge starts from rest and rotates with an angular acceleration α = 15+4t, where α is in rad/s2 and t is in seconds. Determine the angle in degrees through which the bar turns in the first 2.00 min.

Answer 1

201,000°

Step-by-step explanation:

α = 15 + 4t

ω = 15t + 2t²

θ = 7.5t² + ⅔ t³

At t = 120 s:

θ = 7.5 (120)² + ⅔ (120)³

θ = 1,260,000 radians

θ ≈ 201,000°