A turntable rotates through an angular displacement of

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

Problem

0.75\,\text{rad}

. Point

A

is located

4\,\text{cm}

from the center, while point

B

is located

8\,\text{cm}

from the center. Which statement about the linear distances traveled by the two points is correct? (a) Point

B

moves four times as far as point

A

because linear distance is proportional to

r^{2}.

(b) Point

A

and point

B

move the same distance because they share the same angular displacement. (c) Point

B

moves twice as far as point

A

because it is twice as far from the axis. (d) Point

A

moves farther than point

B

because points nearer the axis cover more track for the same rotation.