(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 $1$

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(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 $6 \times 2 \pi = 12 \pi$ radians. Thus,in one second,the wheel turns an angle of $12 \pi$ radians.

Class 11 Mathematics Trigonometrical Ratios, Functions and Identities Fundamental trigonometrical ratios and functions, Trigonometrical ratio of allied angles

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

A
$6$
B
$12$
C
$18$
D
$24$

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Trigonometrical Ratios, Functions and Identities

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Fundamental trigonometrical ratios and functions, Trigonometrical ratio of allied angles

The value of $\tan (-945^\circ)$ is

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Which of the following relations is correct?

Easy

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$\cos \theta(\operatorname{cosec} \theta - \sec \theta) - \cot \theta =$

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If the arcs of the same lengths in two circles subtend angles $65^{\circ}$ and $110^{\circ}$ at the centre,find the ratio of their radii.

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If $x = \tan 15^{\circ}$,$y = \operatorname{cosec} 75^{\circ}$ and $z = 4 \sin 18^{\circ}$,then :

DifficultTS EAMCET 2006

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

Similar Questions

The value of $\tan (-945^\circ)$ is

Which of the following relations is correct?

$\cos \theta(\operatorname{cosec} \theta - \sec \theta) - \cot \theta =$

If the arcs of the same lengths in two circles subtend angles $65^{\circ}$ and $110^{\circ}$ at the centre,find the ratio of their radii.

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