A boy is cycling such that the wheels of the cycle are making 140 revolutions per minute. If the diameter of the wheel is 60 cm, calculate the speed per hour with which the boy is cycling.
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Angular speed= 140 rev/ min = 140/60 rev/s = 7/3 rev/s
1 revolution= 2πr m = 2π × 0.6 = 1.2π m
Linear speed= 1.2π × 7/3 = 2.8π m/s
1 revolution= 2πr m = 2π × 0.6 = 1.2π m
Linear speed= 1.2π × 7/3 = 2.8π m/s
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angular speed =140 so 140÷60=7/3 which is some 1.2cm per second so circumference of one revolution is 2/r so we shall get answers as 2.8cm
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