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The radius of a wheel is 70 cm. If the wheel makes 10 revolutions in 5 seconds covering a certain distance, then the speed of the wheel is:
Question

The radius of a wheel is 70 cm. If the wheel makes 10 revolutions in 5 seconds covering a certain distance, then the speed of the wheel is:

A.

36.25 km/h

B.

29.46 km/h

C.

32.72 km/h

D.

31.68 km/h

Correct option is D

Given:

Radius of the wheel = 70 cm

The wheel makes 10 revolutions in 5 seconds

Formula Used:

Circumference of circle =2πr 2\pi r ​​
Speed =DistanceTime= \frac{\text{Distance}}{\text{Time}}

Solution:

Total Distance covered = 10 × Circumference of wheel

Total Distance covered =10×2×227×70100=44 meters= 10 \times 2 \times \frac{22}{7} \times \frac{70}{100} = 44 \text{ meters}​​

Speed = ​445×185=31.68 km/h \frac{44}{5} \times \frac{18}{5} = 31.68 \ \text{km/h}

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