In covering a distance s metres, a circular wheel of radius r metres makes s2πr revolutions. Is this statement true? Why? - Mathematics

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MCQ
True or False

In covering a distance s metres, a circular wheel of radius r metres makes `s/(2 pir)` revolutions. Is this statement true? Why?

Options

  • True

  • False

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Solution

This statement is True.

Explanation:

The distance travelled by a circular wheel of radius r m in one revolution is equal to the circumference of the circle =`2pir`

No. of revolution completed in `2pir` distance = 1

No. of revolution completed in 1 m distance = `1/(2pir)`

No. of revolution completed in s m distance = `(1/(2pi)) xx s` 

= `s/(2pir)`

Concept: Circumference of a Circle
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APPEARS IN

NCERT Mathematics Exemplar Class 10
Chapter 11 Area Related To Circles
Exercise 11.2 | Q 6 | Page 123
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