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What are gears? Wheels with teeth
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Why gears? They transfer motion from 1 part to another.
Gears can increase speed. Gears can be used to pull heavy loads. But… …not both.
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Torque Torque can be described as a force causing rotational acceleration, that is, causing something to spin. Torque=Applied Force * distance to pivot Greater force or longer distance means more torque
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Motors Motors deliver torque in a small package
They can be used wherever rotational motion is needed. Motors differ in the amount of torque they output and the speed at which they spin.
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Gearing - Why? You don’t always have the perfect motor for the job
Gearing is used to change the speed and torque output of a motor to suit your design needs Gearing results in a compromise between speed and torque. To gain speed, you must sacrifice torque. To gain torque, you must sacrifice speed.
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Gear Ratio Gear ratio is defined as: Expressing the ratio:
Drive gear (input): driven gear (output) Number of Teeth Input : Number of Teeth Output Expressing the ratio: 5:2 = 5/2 = 2.5:1
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Examples Therefore, drive gear must turn 3 times
Meshing 8-tooth gear with 24-tooth gear yields 1:3 gear ratio. 1 turn moves 8 teeth here… …and here Therefore, drive gear must turn 3 times
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Ratios Drive gear Driven gear 2 2 2 1 1:1 2:1
Odd number gear meshes change direction
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What is this ratio? 1:5 5 t Motor attaches here 25 t Input: Output
5:25 1:5
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Gear train: a collection of gears
The ratios have a multiplicative effect. 8 t Motor 24 t 8:24 = 1:3 3 x 2 = 6 1:6 24:48 = 1:2 48 t 8:48 = 1:6
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Multiplicative Effect
8 4 1 1:2 Drive 1:4 Overall ratio 1:8
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Gearings effects on Torque
Force acting through a distance. Radius of gear is the lever arm. Small radius = small lever arm Large radius = large lever arm
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Gearing vs. torque r 2r .2kg•m .4kg•m
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Worm Allow for VERY large reductions Unique feature:
gear Allow for VERY large reductions i.e. 20:1 to 300:1 Unique feature: The worm can turn the gear but.. The gear cannot turn the worm
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