Question

find the no. of revolutions made by a circular wheel of area 1.54 m2 in rollong a distance of 176m

Answer 1

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Answer 2

Let the radius = r

Given Area = 1.54 m².

Then ,

πr² = 1.54

$\frac{22}{7} \times {r}^{2} = 1.54 \\ \\ {r}^{2} = 7 \times 0.07 \\ \\ = 0.49 \\ \\ r = 0.7 \: m$

The required radius = 0.7 m

Then ,

Let's suppose the number of revolutions made by wheel = n

Then ,

n × Distance rolled in one revolution = 176

[Distance revolved in one revolution = It's circumference]

n × 2πr = 176

$n \times 2 \times \frac{22}{7} \times 0.7 = 176 \\ \\ n = \frac{176 \times 7}{2 \times 22 \times 0.7} = 40$

The number of revolutions required = 40.