A body moves in a circle at a speed of $20 m / s$ . Find its angular displacement in $2 s$ , if the radius of the circle is $20 m$ .

1 rad

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2 rad

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3 rad

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4 rad

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Solution

The correct option is B 2 rad
Given:
Radius = 20 m
Speed = 20 m/s
time = 2 s
angular displacement = $\frac{d i s t a n c e}{r a d i u s}$

$\Rightarrow$ angular displacement = $\frac{s p e e d \times t i m e}{r a d i u s}$

$\Rightarrow$ angular displacement = $\frac{20 \times 2}{20} = 2 r a d$

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