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The radius of wheel of a motorbike is $35 c m$ . How many revolutions per minute must the wheel make so as to keep a speed of $66 k m / h r$ ?

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550

500

450

400

answer is B.

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Detailed Solution

Given,
The radius of wheel of a motorbike is 35cm.
Given, radius

r = 35 c m = 35100 m = 0.35 m

Now, the distance covered by the wheels in one single revolution is the circumference of the wheel,
The circumference of a circle with radius

r

given as-

C i r c u m f e r e n c e = 2 π r

= 2 π r = 2 × 227 × 0.35 = 2.2 m

Given, speed is

66 k m / h r

.
Now,

66 k m / h r = 66 × 1000 m 60 min = 1100 m / m i n

∴ 1100 = number of revolutions × circumference of wheel time ⇒ 1100 = number of revolutions × 2.2 1 ⇒ number of revolutions = 1100 2.2 ⇒ number of revolutions = 500

Hence, option 2 is correct.

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