Question

A wheel make 1000 revolutions in covering a distance of 88km . The diameter of a wheel is

Answer 1

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$\mathtt{Distance:}$88km

= 88000 m

In one revolution ,

$= \frac{88000}{1000}$

= 88 m

It covers 88 m in one revolution

So,

2 π r = 88 m

π r = 44 m

r = 44 × 7/22

r = 14 m

Diameter = 2 × r

= 2 × 14

= 28 m

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Answer 2

The diameter is 28 m.

Step-by-step explanation:

The number of revolutions made, n = 1000.

Distance covered = d = 88 km = 88,000 m.

The distance covered in 1 revolution is same as the circumference of the wheel.

Compute the diameter of the wheel as follows:

$C=\frac{d}{n}\\\pi D=\frac{88000}{1000}\\\frac{22}{7}\times D=88\\D=28\ m$

Thus, the diameter is 28 m.

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