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  • The diameters of front and rear wheels of a tractor are 80 cm and 2 m respectively. Find the number of revolutions that rear wheel will make in covering a distance in which the front wheel makes 1400 revolutions.

The diameters of front and rear wheels of a tractor are 80 cm and 2 m respectively. Find the number of revolutions that rear wheel will make in covering a distance in which the front wheel makes 1400 revolutions.

Answers (1)

560 revolutions.

Solution:

Circumference of circle =2 \pi r

Diameter of front wheel = 80 cm

Radius =\frac{80}{2}=40cm

Diameter of rear wheel = 2m = 200 cm

Radius = \frac{200}{2}=100cm

We know that distance covered in one revolution  =2 \pi r

distance covered by front wheel in 1400 revolution =1400 \times 2 \pi(40)

Let rear wheel take x revolutions = x × 2π(100)

According to question
\\1400 \times 2\pi(40)= x \times 2\pi(100)\\\\ x=\frac{1400 \times 40}{100}=560 

Rear wheel will make 560 revolutions.

 

Posted by

infoexpert24

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