The wheel of a motorcycle has a radius of 35 | vedclass

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Question

(D) Given,radius of the wheel,$r = 35 \, cm$.The circumference of the wheel is given by $C = 2 \pi r$.$C = 2 	imes \frac{22}{7} 	imes 35 = 220 \, cm

Vedclass · Accepted Answer

$500$

Vedclass · Answer

(D) Given,radius of the wheel,$r = 35 \, cm$.The circumference of the wheel is given by $C = 2 \pi r$.$C = 2 	imes \frac{22}{7} 	imes 35 = 220 \, cm$.The speed of the motorcycle is $66 \, km/h$. We need to convert this into $cm/min$:$66 \, km/h = \frac{66 	imes 1000 \, m}{60 \, min} = 1100 \, m/min$.Since $1 \, m = 100 \, cm$,the speed is $1100 	imes 100 = 110000 \, cm/min$.The number of revolutions per minute is calculated by dividing the total distance covered in one minute by the circumference of the wheel:$	ext{Number of revolutions} = \frac{	ext{Total distance per minute}}{	ext{Circumference}} = \frac{110000}{220} = 500$.Therefore,the wheel must make $500$ revolutions per minute.

The wheel of a motorcycle has a radius of $35 \, cm$. How many revolutions per minute must the wheel make to maintain a speed of $66 \, km/h$?

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