Two wheels each have mass and radius and are free to rotate about their central axes

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics

Problem

Two wheels each have mass

M

and radius

R

and are free to rotate about their central axes. Wheel S is a solid disk and Wheel H is a thin hoop. A constant net torque of magnitude

\tau

is applied to each wheel for the same time interval

t

, starting from rest. What is the ratio of their final angular speeds

\dfrac{\omega_{S}}{\omega_{H}}

? (a)

1

(b)

\sqrt{2}

(c)

2

(d)

\dfrac{1}{2}