Joe Is Painting the Floor of His Basement Using a Paint

Multiple Choice

Joe is painting the floor of his basement using a paint roller. The roller has a mass of 2.4 kg and a radius of 3.8 cm. In rolling the roller across the floor, Joe applies a force F = 16 N directed at an angle of 35° as shown. Ignoring the mass of the roller handle, what is the magnitude of the angular acceleration of the roller?

A) 7.2 × 10¹ rad/s²
B) 1.0 × 10² rad/s²
C) 1.7 × 10² rad/s²
D) 2.3 × 10² rad/s²
E) 2.8 × 10² rad/s²