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Human Power and Propulsion

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The human power output to the bike is the product of pedal velocity and pedal force. The power output curve is, therefore, peaked over some optimal muscle-flexing range that is related to the velocity of the cyclists feet. The diagram shows both the maximum force that can be exerted on the pedals as a function of foot velocity(red) and the corresponding power output.

Matching the rider power output curve to the needs of a bicycle in covering different types of terrain requires a gear system. In designing the gear system, the maximum knee velocity must be taken into account. The blue bar on the diagram represents a possible foot velocity range that might be used in gear system design. The impedence match over this blue range is not always optimal (green zone) but it is still close enough to obtain good performance and permit a reduced number of gears.

From: Abbott & Wilson, "Human-Powered Vehicles," Human Kinetics (1995)