Question

The radius of the wheel of a bus is 25 cm.if the speed of the bus is 33 kmph ,then how many revolutions will the wheel make in 1 minute

Answer 1

The wheel makes 3500 revolutions in 1 minute.

step explanation:

radius of one wheel of the car = 25 cm = 0.25 m

distance covered by the wheel to complete one revolution = circumference of the wheel

= $2\pi r$

=$2\pi (0.25)$

= $0.5 \pi$

speed of the bus is 33 km/h

distance covered by the wheel  in making n revolutions in 1 min= ( $0.5 \pi$ × n)

also the distance covered travelled by the bus in 60 min = (33×1000)m

distance travelled by bus in 1 min = $\frac{33\times 1000}{60}$= 5500 m

according to the question ,

$0.5\pi \times n = 5500$

n= $\frac{5500}{0.5\pi }$

n= $\frac{5500\times 7 }{0.5\times 22}$

n= 500×7

n= 3500 revolutions

hence,

the wheel makes 3500 revolutions in 1 minute.

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