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  • The wheel of a motor cycle is of radius 35 cm. How many revolutions per minute must the wheel make so as to keep a speed of 66 km/h?

The wheel of a motor cycle is of radius 35 cm. How many revolutions per minute must the wheel make so as to keep a speed of 66 km/h?

Answers (1)

500 revolutions

Solution

Circumference of circle =2 \pi r

The speed of wheel = 66 km per hour =\frac{66 \times 1000}{60}

                                                             = 1100 m/min

Radius == 35m=\frac{35}{100}=0.35m        (because 1m = 100cm)

Circumference of wheel =2 \pi r=2 \times \frac{22}{7} \times 0.35

                                        =2.2 m

The distance covered by wheel in one revolution = 2.2m

The number of resolution per minute to keep a speed of 66 km per hour =\frac{1100}{2.2} =500 revolution

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