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The diameter of a driving wheel of a bus is 140 cm. How many revolutions per minute must the wheel make in order to keep a speed of 66 kmph?

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350

250

230

450

answer is B.

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Detailed Solution

Given,
Bus speed= 66 km/hr
Since, 1 km = 1000 m and 1 m = 100 cm also 1 hour = 60 minute. Thus, speed in cm/min can be given as,
Bus speed=

\frac{66 \times 1000 \times 100}{60}

cm/min
Bus speed = 110000 cm/min
Diameter of wheel D= 140 cm
Radius of it

r = \frac{140}{2} = 70

cm
So, wheel circumference

C = 2 \times \frac{22}{7} \times 70 = 440 cm

So, distance covered by wheel in each rotation = 440 cm
Thus, revolutions per minute,

RPM = \frac{110000}{440}

RPM = 250

Correct option is 2.

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