Find the diameter of a wheel that makes 113 r | vedclass

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Question

(B) Let the diameter of the wheel be $x \, m$.The circumference of the wheel is given by $\pi x \, m$.In $113$ revolutions,the total distance covered

Vedclass · Accepted Answer

$6 \frac{4}{11}$

Vedclass · Answer

(B) Let the diameter of the wheel be $x \, m$.The circumference of the wheel is given by $\pi x \, m$.In $113$ revolutions,the total distance covered is $113 	imes \pi x$.Given that the total distance is $2 \, km$ $26 \, decametres$.Convert the distance into metres: $2 \, km = 2000 \, m$ and $26 \, decametres = 260 \, m$.Total distance $= 2000 + 260 = 2260 \, m$.Equating the distance: $113 	imes \frac{22}{7} 	imes x = 2260$.Solving for $x$: $x = \frac{2260 	imes 7}{113 	imes 22}$.Since $2260 / 113 = 20$,we have $x = \frac{20 	imes 7}{22} = \frac{140}{22} = \frac{70}{11} = 6 \frac{4}{11} \, m$.

Find the diameter of a wheel that makes $113$ revolutions to go $2 \, km$ $26 \, decametres$. (in $m$)

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