Question: How many revolutions will a wheel of diameter 3 m make to cover a distance of 47.10 m?
A ) 4
B ) 5
C ) 6
D ) 7
Steps to derive
1 Circumference of the wheel = πd, where d is the diameter of the wheel
[Substitute the values.]
2 = 3.14 × 3
[Multiply.]
3 = 9.42
4 So, the circumference of the wheel is 9.42 m.
5 So, the distance covered by the wheel in one revolution = 9.42 m.
6 Number of revolutions made by the wheel in 47.10 m = 47.10 / the distance covered by the wheel in one revolution
[Substitute the value.]
7 = 47.109.42
[Simplify.]
8 = 5
9 The number of revolutions made by the wheel to cover a distance 47.10 m = 5.
Hence the right answer is Option B
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