Angular Speed After One Revolution · PhysicsBowl 2016 #16

Physics · mechanics

Problem

A uniform stick is fixed to rotate about an axis through its center. The stick starts from rest and rotates through an angle of

90°

in a time of

1.0 s

. If the angular acceleration of the stick is constant, what is the angular speed of the stick about its rotation axis after one full revolution? (A)

4\pi \frac{rad}{s}

(B)

2\sqrt{2} \pi \frac{rad}{s}

(C)

2\pi \frac{rad}{s}

(D)

\sqrt{2} \pi \frac{rad}{s}

(E)

\pi \frac{rad}{s}