The shaft of a motor rotates at a constant an | vedclass

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Question

(C) Given angular velocity $\omega = 3000 \ rpm$ (revolutions per minute).To convert $rpm$ to revolutions per second $(rps)$, divide by $60$: $\omega

Vedclass · Accepted Answer

$100$

Vedclass · Answer

(C) Given angular velocity $\omega = 3000 \ rpm$ (revolutions per minute).To convert $rpm$ to revolutions per second $(rps)$, divide by $60$: $\omega = \frac{3000}{60} \ rps = 50 \ rps$.Since one full revolution corresponds to $2\pi$ radians, the angular velocity in radians per second is $\omega = 50 	imes 2\pi \ rad/s = 100\pi \ rad/s$.The angle turned in $t = 1 \ s$ is given by $	heta = \omega 	imes t = 100\pi 	imes 1 = 100\pi \ radians$.

The shaft of a motor rotates at a constant angular velocity of $3000 \ rpm$. The number of radians it has turned through in $1 \ s$ is (in $\pi$)

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