Derive equations for the driving force

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Question - Electric bicycles commonly use a combination of human and battery power for providing transportation. This question requires you to investigate and analyse torque and power requirements for human and electric powered bicycles and characterise the behaviour.

a) Develop a simple free-body-diagram of a bicycle on an inclined plane, including factors of rider and bicycle weight, tyre rolling resistance and wind drag forces.

b) Derive equations for the driving force, torque and power as functions of the velocity and the angle of the incline from the free-body diagram.

c) Graphically represent values for the driving force and Power required to ride on flat ground as a function of speed from 0 to 30 km/hr, neglecting acceleration.

d) Repeat c) assuming a 10% incline.

e) Calculate the maximum 10% downslope speed, assuming no input power from the rider.

Compare, contrast and analyse one electric bicycle per group member making calculations to show the following.

f) Maximum speed up a 10% incline gradient with an 80 kg rider.

g) Maximum speed up a 10% incline gradient, with an 80 kg rider, with the limit of 250 Watts as required by Western Australian State Government legislation.

h) As for g) but including additional rider assist power. Assume rider assist power levels from 100 Watts to 200 Watts.

Reference no: EM132303911

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