A runner completes along the outer lane of a circular track of radius

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

Problem

A runner completes

2.0\,\text{rad}

along the outer lane of a circular track of radius

48\,\text{m}

. He then shifts to an inner lane of radius

42\,\text{m}

and covers the same arc length as before. By approximately what percentage does his angular displacement change when he runs in the inner lane? (a)

12\% \text{ increase}

(b)

14\% \text{ decrease}

(c)

14\% \text{ increase}

(d)

0\% \text{ change}