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A wheel turns (42) radians in (7) seconds. Through how many degrees will it turn in (3) seconds?

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Answer and explanation

Correct answer: ( \frac{1080^\circ}{\pi} )

The rate is (6) radians per second, so in (3) seconds it turns (18) radians, which is (18\cdot\frac{180^\circ}{\pi}=\frac{3240^\circ}{\pi}).

Tags

trigonometric-functionsanglesangular-motion

Frequently asked questions

What is the correct answer to this question?

( \frac{1080^\circ}{\pi} )

Why is this the correct answer?

The rate is (6) radians per second, so in (3) seconds it turns (18) radians, which is (18\cdot\frac{180^\circ}{\pi}=\frac{3240^\circ}{\pi}).

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.

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