A wheel makes 360 revolutions in one minute. | vedclass

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Question

(B) Number of revolutions made by the wheel in $1$ minute $= 360$. Since $1$ minute $= 60$ seconds,the number of revolutions made by the wheel in $1$

Vedclass · Accepted Answer

$12$

Vedclass · Answer

(B) Number of revolutions made by the wheel in $1$ minute $= 360$. Since $1$ minute $= 60$ seconds,the number of revolutions made by the wheel in $1$ second $= \frac{360}{60} = 6$. In one complete revolution,the wheel turns an angle of $2 \pi$ radians. Hence,in $6$ complete revolutions,it will turn an angle of $6 	imes 2 \pi = 12 \pi$ radians. Thus,in one second,the wheel turns an angle of $12 \pi$ radians.

$A$ wheel makes $360$ revolutions in one minute. Through how many radians does it turn in one second (in $\pi$)?

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