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Question:

Work of simple machines (gears and wheel on axle)?

How can i work out the work of simple machines and yes i know W Force x distance. I have a gear system which has 14 teeth on the driver and 35 teeth on the idle. The radius of the wheel is 27mm and the radius of the axle is 19mm. thanks please answer quickly

Answer:

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I assume you mean DRIVEN gear, not idle. An idler is a gear that connects between 2 other gears, but you only have 2. Anyway, work out the ratio of the teeth numbers. Your driver has 14 teeth, the driven has 35. You have not given the driving force, but the force on the driven gear's axle will be ((driving force) x 35/14) whatevers (maybe newtons?). As it is a step down ratio, the force is stepped UP by the ratio of no's of teeth. Which leaves me wondering why the axle radius is given? If the driven gear is connected to the wheel, the torque X the radius of the wheel is enough to calculate the work at the wheel rim. Remember the radius of the wheel will be in metres, if looking for newtons or kg/metres. .027 metres.

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