Question

A road roller makes 200 rotations covering 2200m.if it makes 132 rotations then find out the distance it covers and find the radius of the wheel

Answer 1

Heya !!

Here's your answer.. ⬇⬇
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➡ Given :- Road roller Makes revolutions = 200
Distance covered in 200 revolutions = 2200 m
Road roller Makes revolutions = 132

➡ To Find :- Distance covered in 132 revolutions = ?
Radius = ?

➡ Solution :- One rotation make by road roller = circumference of road roller.

200 rotations = circumference × 200
200 rotations = 2πr × 200

In 200 rotations it covers 2200 m.

200 × 2πr = 2200
200 × 2 × 22/7 × r = 2200
2 × 22/7 × r = 2200/200
2 × 22 × r = 11 × 7
44 × r = 77
r = 77/44
r = 1.75 m

Radius of Road roller is 1.75 m.

Distance covered in 132 rotations = 132 × circumference.

= 132 × 2πr
= 132 × 2 × 22/7 × 1.75
= 1452 m.

Distance covered by road roller in 132 rotations is 1452 m.
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Hope it helps..
Thanks :)

Answer 2

A roller makes 200 rotation to cover 2200 m

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In 1 rotation, roller covers = (2200)/(200) = 11 m

It simply means that the circumference of roller's wheel is 11m

Circumference = 11
2πr = 11
2r = (11×7)/22
2r = 7/2
r = 7/4

Radius of wheel = 1.75 m
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In 132 roatations, Wheel will cover (11×132) m= 1452 m


I hope this will help you

-by ABHAY