A drum has an unknown radius

PHYSICS · Subjective · CBSE · Physics · Units and Measurements · Units and Measurements

Problem

A drum has an unknown radius. While a string unwinds from it,

s = 2.15\,\text{m}

of string is released as the drum rotates through an angle of

\theta = 3.60\,\text{rad}

. The measured uncertainties are

\pm0.02\,\text{m}

s

and

\pm0.05\,\text{rad}

\theta

. Determine the drum’s radius and its absolute uncertainty, giving your answer with two significant figures.