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

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Question

Given, diameter of front wheels, $d _{1}=80 \,cm$

and diameter of rear wheels, $d _{2}=2\, m =200 \,cm$

$	herefore \quad$ Radius of front wheel

Vedclass · Accepted Answer

$560$

Vedclass · Answer

Given, diameter of front wheels, $d _{1}=80 \,cm$

and diameter of rear wheels, $d _{2}=2\, m =200 \,cm$

$	herefore \quad$ Radius of front wheel $\left(r_{1}ight)=\frac{80}{2}=40\, cm$

and $\quad$ radius of rear wheel $\left(r_{2}ight)=\frac{200}{2}=100 \,cm$

$	herefore \quad$ Circumference of the front wheel $=2 \pi r_{1}=\frac{2 	imes 22}{7} 	imes 40=\frac{1760}{7}$

$	herefore$ Total distance covered by front wheel $=1400 	imes \frac{1760}{7}=200 	imes 1760$

$=352000\, cm$

Number of revolutions by rear wheel $=\frac{	ext { Distance coverd }}{	ext { Circumference }}$

$=\frac{352000}{2 	imes \frac{22}{7} 	imes 100}=\frac{7 	imes 3520}{2 	imes 22}=\frac{24640}{44}=560$

Part $I$	Part $II$
$1.$ Formula to find the length of a minor arc	$a.$ $C=2\pi r$
$2.$ Formula to find the area of a minor sector	$b.$ $A =\pi r^{2}$
$3.$ Formula to find the area of a circle	$c.$ $l=\frac{\pi r \theta}{180}$
$4.$ Formula to find the circumference of a circle	$d.$ $A=\frac{\pi r^{2} \theta}{360}$

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

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