Question

The diameters of the front and rear wheels of a tractor are 80 cm and 2 m
respectively. Find the number of revolutions that a rear wheel makes to
cover the distance which the front wheel covers in 800 revolutions,​

Answer 1

Step-by-step explanation:

Given diameter of front wheels(2r)=80cm⇒r=40cm

diameter of rear wheels(2r)=2m⇒r=1m=100cm

In one revolution area covered is =2πr

∴ Distance covered by front wheel in 1400 revolutions =1400×2π(40)

Let us assume that to cover same distance rear wheel will take x revolutions=x×2π(100)

As both wheel will cover same distance ∴1400×2π(40)=x×2π(100)

x=

100

1400×40

=560

That means rear wheel will make 560 revolutions to cover the required distance.

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