State the condition under which the relation between arc length and angular…

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

Problem

State the condition under which the relation between arc length and angular displacement for a pendulum can be written as

s=L\theta

, and explain in one sentence why the angle must be expressed in radians for this relation to hold.