The combined mass of bicycle and rider is 100 kg, they are travelling at the speed of 16 km/h on a level road. Diameter of rear wheel is 0.9m. The pressure applied on the brake is 100 N and μ = 0.05., find the no. of revolutions made by the bicycle before it comes to rest.

The combined mass of bicycle and rider is 100 kg, they are travelling at the speed of 16 km/h on a level road. Diameter of rear wheel is 0.9m. The pressure applied on the brake is 100 N and μ = 0.05., find the no. of revolutions made by the bicycle before it comes to rest. Correct Answer 70

Ft = μ.Rn = 0.05×100 = 5N Let x be the distance travelled by the bicycle before coming to rest. then Ft.x = mv2/2 x = 100×4.442/(2x 5) = 197.2m The distance travelled by the bicycle before coming to rest is 197.2m now, If N is the no. of revolutions the197.2 = πDN 197.2/πx0.9 = N N = 70.
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