The diameter of a wheel of a bus is 90 cm  which makes 315 revolutions per minute. Determine its speed in kilometres per hour. (Take π=22/7)

# The diameter of a wheel of a bus is  which makes 315 revolutions per minute. Determine its speed in kilometres per hour. (Take

1. A
53.46 km per hour
2. B
52.46 km per hour
3. C
51.46 km per hour
4. D
50.46 km per hour

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### Solution:

It is given that the diameter of the wheel is 90cm.

It means the wheel travels 282.857cm in a revolution.
Now, it makes 315 revolutions per minute.
So, distance travelled by the wheel in one minute is  cm.
So the speed is,  cm per minute
Convert speed into kilometers per hour,
1 cm per minute = ,

Therefore, the speed is 53.46 km per hour.
Hence, the correct option is 1.

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