Gearbox Calculations

[chadr03]

First step is to count teeth.

I haven't used or seen a Cim-u-lator, but looking at the Banebots website it states that it has a 2.7:1 gear reduction. With a 10 tooth pinion on the motors driving a 27 tooth gear on the output shaft.

If the tooth counts match what the website says then you can use the following formula to determine the output speed.

Ratio=# Teeth in Gear/# Teeth in Pinion

Output Shaft Speed=Motor Speed/Ratio

Output Torque=Motor Torque*Ratio*(Number of Motors)

Single Reduction gearboxes spur gearboxes are relatively efficient so you can probably neglect any losses from the gears in your calculations.

It is probably worth stating that the motor speed is very dependent on load and so I typically suggest using a timing light to actually measure output speed. The formulas will usually get you in the ball park.