The diameters of front and rear wheels of a t | vedclass

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Question

(A) Given,diameter of the front wheel,$d_{1} = 80 \,cm$.Diameter of the rear wheel,$d_{2} = 2 \,m = 200 \,cm$.Circumference of the front wheel $C_{1}

Vedclass · Accepted Answer

$560$

Vedclass · Answer

(A) Given,diameter of the front wheel,$d_{1} = 80 \,cm$.Diameter of the rear wheel,$d_{2} = 2 \,m = 200 \,cm$.Circumference of the front wheel $C_{1} = \pi d_{1} = 80\pi \,cm$.Circumference of the rear wheel $C_{2} = \pi d_{2} = 200\pi \,cm$.Total distance covered by the front wheel in $1400$ revolutions is $D = 1400 	imes C_{1} = 1400 	imes 80\pi \,cm$.Let the number of revolutions made by the rear wheel be $n$.Then,$n 	imes C_{2} = D$.$n 	imes 200\pi = 1400 	imes 80\pi$.$n = \frac{1400 	imes 80\pi}{200\pi} = 7 	imes 80 = 560$.Thus,the rear wheel makes $560$ revolutions.

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

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