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Why You Need Reduction: Speed vs. Torque

learnfrc.com
learnfrc.comAuthor
Veer Bajaj
Veer BajajMaintainer

An FRC motor like a NEO spins near 5,676 rpm with no load but produces very little usable torque at that speed. A drivetrain wheel needs to turn at maybe a few hundred rpm with a lot of torque to move a 100+ lb robot. A gear reduction converts the motor’s high-speed, low-torque output into low-speed, high-torque output.

Conservation of power: ignoring friction, output power equals input power. So if you reduce speed by a factor of N (the gear ratio), you multiply torque by roughly N. Speed down, torque up, by the same factor.

A gear ratio is driven teeth ÷ driving teeth (output over input). Example: a 12-tooth pinion driving a 60-tooth gear is 60/12 = 5:1. The output turns 5x slower and roughly 5x stronger.

You often need more reduction than one gear pair can give, so you stack stages : a two-stage gearbox of 4:1 then 3:1 yields 4 × 3 = 12:1 overall. Multiply the stages.

Drivetrain reductions are chosen to hit a target free speed (theoretical top speed) of roughly 12–18 ft/s depending on the game, while leaving enough torque that the robot can accelerate and push without stalling. You can compute this with online calculators (e.g., ReCalc at reca.lc, or JVN’s mechanical design calculator) by entering motor, gear ratio, wheel diameter, and robot weight; ReCalc also flags whether your chosen current limit keeps you out of the brownout/pushing-stall danger zone.

You rarely cut your own gears. Common COTS options:

  • VEXpro / WCP VersaPlanetary — a modular planetary gearbox with interchangeable stages; the stages combine into a very large number of ratios, and it bolts to many FRC motors (BAG, Mini CIM, RS-550, 775pro, AM-9015, CIM). It mounts on a 2“ bolt circle, the same as a CIM, so it fits anywhere a CIM does; NEO/brushless mounting uses a vendor or third-party adapter plate.
  • AndyMark Sport, Flyer, and ToughBox gearboxes — drivetrain and mechanism gearboxes; the Flyer is designed to run as an overdrive or underdrive.
  • REV MAXPlanetary and WCP gearboxes integrated with their structure systems.

Too much reduction makes the robot painfully slow; too little makes it fast but unable to push and prone to stalling (which spikes current and risks brownouts). The right ratio is a balance you tune per game and per robot weight.

  • Gear ratio = driven teeth ÷ driving teeth; reducing speed by N multiplies torque by ~N
  • Multiply stages: a 4:1 then 3:1 gearbox is 12:1 overall
  • Use COTS gearboxes like the VersaPlanetary or AndyMark ToughBox/Sport rather than cutting custom gears, and pick a ratio that balances speed against pushing torque

This lesson was adapted from learnfrc.com.