Question

The diameter of each wheel of a car is 4 m. It makes 6 revolutions per second. What is the speed of the car in kilometres per hour?

Answer 1

hi friend ,

271.392 km/h is your answer.

see the picture for getting step by step explanation.

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Answer 2

Speed of the car in km/hr will be 272.92 km/hr

Step-by-step explanation:

We have given diameter d = 4 m

So radius $r=\frac{d}{2}=\frac{4}{2}=2m$

Distance traveled in one revolution $=2\pi r=2\times 3.14\times 2=12.56m$

It is given that it completes 6 revolutions

So total distance traveled by car $=6\times 12.56=75.36m$ = 0.0756 km

Time is given t = 1 sec

We know that 1 hour = 3600 sec

So $1sec=\frac{1}{3600}=2.77\times 10^{-4}hour$

So speed will be equal to $speed=\frac{distance}{time}=\frac{0.0756}{2.77\times 10^{-4}}=272.924km/hr$

So speed of the car in km/hr will be 272.92 km/hr

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