Two athletes start together on concentric circular tracks of radii and and each…

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

Problem

Two athletes start together on concentric circular tracks of radii

40\,\text{m}

and

60\,\text{m}

and each covers an angular displacement of

0.50\,\text{rad}

. Which statement correctly compares the distances run by the two athletes? (a) Both athletes run the same distance. (b) The athlete on the

60\,\text{m}

track runs

0.67

times the distance of the athlete on the

40\,\text{m}

track. (c) The athlete on the

60\,\text{m}

track runs

1.5

times the distance of the athlete on the

40\,\text{m}

track. (d) The athlete on the

60\,\text{m}

track runs

2.25

times the distance of the athlete on the

40\,\text{m}

track.