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The wheel of a motor cycle is of radius $35$ cm. The number of revolutions per minute must the wheel make so as to keep a speed of $66$ km/h from the following choices is:

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125

250

500

1000

answer is C.

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Detailed Solution

It is given that, the radius of the wheel is

35

cm.
Speed is

66 km/hr

.
Convert the given unit of speed in

k m / h r

to m/min..
We get,

S = 66 × 1000 m 60 min

= 1100 m / min

Obtain the circumference of a wheel.
We get,

C = 2 π r C = 2 × 227 × (0.35) C = 2.2 m

Obtain the number of revolutions in

1

minute.
We get,

n = S C n = 1100 2.2 n = 500

The number of revolutions per minute is

500

.
Hence, option 3) is correct.

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