Find the number of revolutions made by a circ | vedclass

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(A) Let the number of revolutions made by the circular wheel be $n$ and the radius be $r$.Given,area of the circular wheel $= 1.54 \, m^2$.Using the f

Vedclass · Accepted Answer

$40$

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(A) Let the number of revolutions made by the circular wheel be $n$ and the radius be $r$.Given,area of the circular wheel $= 1.54 \, m^2$.Using the formula for the area of a circle,$\pi r^2 = 1.54$.$\frac{22}{7} 	imes r^2 = 1.54 \Rightarrow r^2 = \frac{1.54 	imes 7}{22} = 0.07 	imes 7 = 0.49$.Thus,$r = \sqrt{0.49} = 0.7 \, m$.The distance covered in one revolution is equal to the circumference of the wheel.Circumference $= 2 \pi r = 2 	imes \frac{22}{7} 	imes 0.7 = 2 	imes 22 	imes 0.1 = 4.4 \, m$.The total distance traveled is $176 \, m$.Number of revolutions $n = \frac{	ext{Total distance}}{	ext{Circumference}} = \frac{176}{4.4} = \frac{1760}{44} = 40$.Therefore,the wheel makes $40$ revolutions.

Find the number of revolutions made by a circular wheel of area $1.54 \, m^2$ in rolling a distance of $176 \, m$.

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