The wheel of a cart is making 5 revolutions per second. If the diameter of the wheel is 84 cm, find its speed in km/hr. Give your answer correct to the nearest km.

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Solution

Radius = $\frac{84}{2} = 42 c m$
Distance covered in one revolution = circumference of the wheel $= 2 π r = 2 \times \frac{22}{7} \times 42 = 264 c m$
Distance covered in 5 revolutions = $264 \times 5 = 1320 c m$ in 1 second
Distance covered in 1 hour = $1320 \times 3600 = 4752000 c m$
= 47.52 km=48 km(approximately)
So, the speed = 48 km /hour

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The wheel of a cart is making 5 revolutions per second. If the diameter of the wheel is 84 cm, find its speed in km/hr. Give your answer correct to the nearest km.

Radius =842=42 cm Distance covered in one revolution = circumference of the wheel =2πr=2×227×42=264 cm Distance covered in 5 revolutions = 264×5=1320 cm in 1 second Distance covered in 1 hour =1320×3600=4752000 cm = 47.52 km=48 km(approximately) So, the speed = 48 km /hour