Q. 164.4( 5 Votes )

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

Answer :

Given: d1 = 80 cm


d2 = 2 m


To find: Number of revolutions by rear wheel.


Explanation:


Diameter of front wheels = d1 = 80 cm


Diameter of rear wheels = d2 = 2 m = 200 cm


Let r1 be the radius of the front wheels = r1 = 80/2 = 40 cm


Let r2 be the radius of the rear wheels = r2 = 200/2 = 100 cm


Now, Circumference of the front wheels = 2πr1


= 2 × (22/7) × 40


= 1760/7 cm


Circumference of the rear wheels = 2πr2 = 2 × (22/7) × 100 = 4400/7 cm


No. of revolutions made by the front wheel = 1400


Distance covered by the front wheel = 1400 × (1760/7) = 352000 cm


Number of revolutions made by rear wheel in covering a distance in which the front wheel makes 1400 revolutions =


=



= 560 revolutions.


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