A bicycle pulley system uses a set of pulleys and a belt or chain to transfer power from the pedals to the wheels. By using multiple pulleys, the system can change the direction of force and increase the mechanical advantage, making it easier for the rider to pedal. This enhances the efficiency of pedaling by reducing the amount of effort needed to move the bike forward.
The rear derailleur pulley in a bicycle's gear shifting system guides the chain to move smoothly between different gears, allowing the rider to change the resistance and speed of pedaling.
Using an oversize derailleur pulley in a bicycle drivetrain system can reduce friction, improve shifting performance, and increase efficiency by allowing for smoother chain movement and better alignment with the cassette cogs.
The bicycle is not a simple machine, there are too many interacting moving parts.
pulley
lever at crank, connected by chain to lever at rear wheel
pulley
pulley
The relationship between pulley torque and the efficiency of a mechanical system is that higher pulley torque can lead to lower efficiency. This is because higher torque can result in more friction and energy loss in the system, reducing its overall efficiency.
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The formula for the percent efficiency of a pulley is (output work/input work) x 100%. It compares the output work (work done by the pulley) to the input work (work done on the pulley) to determine how efficient the pulley system is in transferring energy.
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The efficiency of a pulley system is typically around 90-95%. This means that 90-95% of the input energy is transferred to the output energy, with the remaining 5-10% being lost to friction and other factors.