A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?

Asked by Pragya Singh | 1 year ago |  66

1 Answer

Solution :-

It is given that

No. of revolutions made by the wheel in

1 minute = 360

1 second =\( \dfrac{360}{60}\) = 6

We know that

The wheel turns an angle of 2π radian in one complete revolution.

In 6 complete revolutions, it will turn an angle of 6 × 2π radian = 12 π radian

Therefore, in one second, the wheel turns an angle of 12π radian.

Answered by Abhisek | 1 year ago

Related Questions

prove that \(sin \dfrac{8π}{3} cos \dfrac{23π}{6} + cos \dfrac{13π}{3} sin \dfrac{35π}{6} = \dfrac{1}{2}\)

Class 11 Maths Trigonometric Functions View Answer

prove that \( 3 sin \dfrac{π}{6} sec \dfrac{π}{3} – 4 sin \dfrac{5π}{6} cot \dfrac{π}{4} = 1\)

Class 11 Maths Trigonometric Functions View Answer

prove that \( tan \dfrac{11π}{3} – 2 sin \dfrac{4π}{6} – \dfrac{3}{4} cosec^2 \dfrac{π}{4} + 4 cos^2 \dfrac{17π}{6} = \dfrac{(3 – 4\sqrt{3})}{2}\)

Class 11 Maths Trigonometric Functions View Answer