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

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170

200

250

270

answer is C.

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Detailed Solution

Given the diameter of the driving wheel of a bus is 140 cm.
Distance covered by the wheel in one revolution is,
Question Image

Number of revolutions for 66 km is,

⇒ N = 66 k m 440 c m

Now, 1 km = 1000 m.
1 m = 100 cm

1 k m = 1000 × 100 c m 1 k m = 100000 c m 66 k m = 6600000 c m

Therefore,

⇒ N = 6600000440

⇒ N = 15000

As we know that, 1 hour = 60 minutes.
Revolution per minute is,

⇒ 1500060

⇒ 250

Therefore, the number of revolutions per minutes is 250.
Hence, option 3 is correct.

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