Find the angular displacement (in rad) of a particle moving on a circle with angular velocity ( $2 π$ ) rad/s in $15 s$ .

2 π

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30 π

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π

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9 π

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Solution

The correct option is B $30 π$
The angular displacement is defined as the angle through which an object moves on a circular path in a given time.
Angular velocity $w = 2 π r a d / s$
Time taken $t = 15$ s
Angular displacement $θ = ω \times t$
$∴$ $θ = 2 π r a d / s \times 15 s = 30 π$ rad

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