Find the number of revolutions made by a circ | vedclass

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Question

Let the number of revolutions made by a circular wheel be $n$ and the radius of circular wheel be $r.$

Given that, area of circular wheel $=1.54\,

Vedclass · Accepted Answer

$40$

Vedclass · Answer

Let the number of revolutions made by a circular wheel be $n$ and the radius of circular wheel be $r.$

Given that, area of circular wheel $=1.54\, m ^{2}$

$\pi r^{2}=1.54$ [$\because$ area of circular = $\pi r^{2}$ ]

$r^{2}=\frac{1.54}{22} 	imes 7 \Rightarrow r^{2}=0.49$

$r=0.7 \,m$

So, the radius of the wheel is $0.7\, m$.

Distance travelled by a circlular wheel in one revolution $=$ Circumference of circular wheel

$=2 \pi r$

$=2 	imes \frac{22}{7} 	imes 07=\frac{22}{5}=4.4\, m \quad[\because$ circumerence of a circle $=2 \pi r]$

since, distance travelled by a circular wheel = $176\, m$

$	herefore$ Number of revolutions $=\frac{	ext { Total distance }}{	ext { Distance in one revolution }}=\frac{176}{4.4}=40$

Hence, the required number of revolutions made by a circular wheel is $40 .$

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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