Gearing and Gearboxes Training Module

Module Goals

By the end, students should be able to:

  • Explain what gears and gearboxes do on an FRC robot.
  • Calculate simple and compound gear ratios.
  • Predict how gearing changes torque and angular velocity.
  • Compare spur, shifting, worm, right-angle, and planetary gearboxes.
  • Identify common FRC gearbox options from REV, AndyMark, and WCP.
  • Choose a gearbox type based on mechanism needs and packaging.
  • Describe the steps and checks for creating a custom gearbox.
Big Idea

Gearing changes how motor motion reaches the mechanism

Motor
Gears / Gearbox
Shaft
Mechanism
Power Transmission

Gears are one way to move power through a robot

Gears

Compact, precise, and positive engagement. Great when shafts are close and alignment is controlled.

Chain and Sprockets

Good for longer distances, high loads, and mechanisms where some center distance flexibility helps.

Belts and Pulleys

Quiet, light, and smooth. Useful for rollers, shooters, and compact motion runs when tension is planned.

Design choice: Use gearing when you need a compact fixed relationship between shafts or a packaged gearbox solution.

Gear Vocabulary

Driver/Input

The gear connected to the motor or previous stage.

Driven/Output

The gear that receives motion and sends it to the mechanism.

Idler

A middle gear that changes rotation direction but does not change the overall ratio.

Gear Ratio

The relationship between input teeth and output teeth.


Torque

The force of rotation. Usually measured in N-m (Newton-Meters) or lb-ft (Pound-Foot).

Angular Velocity

The velocity of rotation. Usually measured in RPM (revolutions per minute).

How Gear Trains Affect Motion

Gears can change the direction of motion, the output velocity, and the output torque.

Gearboxes
Direction

Gears can change the direction of motion

2 Gears

Input and output spin opposite directions.

3 Gears (Idler Gear in middle)

Input and output spin the same directions.

Directions
Gear Ratios

Simple gear trains have ratios based on the count of teeth of the output gear divided by teeth of the input gear. That ratio determines how the the gears affect output torque and velocity.

Simple gear ratio example

Gear Ratio = Output Teeth ÷ Input Teeth

Idlers and Gear Ratios

Only Input and Output Count

Simple gear train ratios are only deteremined by the output and input gears. The only thing idler gears can do is reverse the direction.

Direction change
Torque and Angular Velocity

Gearing trades angular velocity and torque

Gear ratio torque and angular velocity trade off

Gearing Ratio Outputs

  • Ratio greater than 1: more torque, less speed.
  • Ratio equal to 1: no major change in torque or speed.
  • Ratio less than 1: more speed, less torque.

FRC teams use this tradeoff constantly when tuning drivetrains, arms, shooters, climbers, and intakes.

Compound Gears

Compound gears allow you to create much larger gear ratios without needing huge gears. In a compound gear one axle holds multiple gears, so the output of one stage drives the input of the next stage. This can be repeated more than once.

Simple gear ratio example

Total Ratio = Gear Ratio 1 × Gear Ratio 2 ×...

Interactive Gear Lab

Build a simple gear train

10T
12T
18T
24T
36T
48T
60T
72T
84T

Input Axle

Drop gear here

Idler / Middle

Drop gear here

Output Axle

Drop gear here

Add gears to see output speed and torque.

Gearboxes

A gearbox packages gears, shafts, bearings, and mounting

Animated gearbox example

Why use a gearbox?

  • Gets the mechanism to the right speed and torque.
  • Supports shafts with bearings.
  • Mounts motors cleanly.
  • Keeps gear spacing accurate.
  • Makes repair and replacement more repeatable.
Choosing a Gearbox and Ratio

What is the mechanism need?

Drivetrain

Balance top speed, acceleration, pushing, current, wheel size, and driver control.

Arm / Wrist

Needs enough torque to move and hold against gravity without overheating.

Shooter

Often needs high wheel speed, fast recovery, and consistent velocity control.

Intake

Usually needs moderate speed, enough torque to avoid jams, and compliance.

Elevator

Needs torque for lifting, speed for cycle time, and braking/holding strategy.

Climber

Needs high torque, strong structure, controlled motion, and safe load holding.

Swerve

Needs precise direction control and enough torque to turn the module quickly.

Conveyor

Needs enough speed to feed reliably without damaging game pieces.

Gearbox Types

Use the gearbox that meets the need

TypeBest ForMain AdvantageMain Concern
Single-Speed SpurDrivetrains, elevators, climbersSimple and reliableOne fixed compromise
Dual-Speed ShiftingTank drives, speed + pushingSwitches ratiosMore complexity
Right-AngleSwerve, tight packagingTurns power 90°Alignment sensitive
PlanetaryArms, intakes, wrists, prototypesCompact modular reductionShock and side loads
Single-Speed Spur

Strong, simple, and common in FRC

Use when...

  • The mechanism only needs one speed range.
  • Reliability matters more than shifting complexity.
  • You can pick a ratio that balances speed, torque, current, and control.

FRC examples

Tank drivetrains, elevators, arms, climbers, and simple custom reductions.

Single-speed spur gearbox
Dual-Speed Shifting

Two ratios: one for speed, one for torque

Low Gear

More torque, less speed. Useful for acceleration, pushing, or reducing current during heavy load.

FRC examples

AndyMark EVO Shifter and WCP dog-shifting gearboxes on tank drive robots.

High Gear

More speed, less torque. Useful for full-field sprinting when the robot has room to move.

Shifting Mechanisms

In FRC gearboxes, shifters usually work by using a dog gear, shifting dog, sliding clutch, or similar locking part to engage one of two gear paths: a high-speed ratio or a low-speed/high-torque ratio. The shifting action is commonly done with a pneumatic cylinder, servo, or other mechanical actuator that moves the locking part into the desired gear position.

Dual-speed spur gearbox
Right-Angle Gearboxes

Change the direction of power by 90 degrees

Common uses

  • Swerve drive modules.
  • Intakes or conveyors where the motor must mount sideways.
  • Mechanisms where moving the motor protects it from impact.

Bevel gear alignment and bearing support matter a lot.

FRC examples

AndyMark LJ Bevel Box, Swerve Drive Modules, and REV MAX 90 Degree Gearbox

Right-angle gearbox notes
Planetary Gearboxes

The Basics

Planetary gearbox gif
Planetary gearbox

How they work

A planetary gear system uses a sun gear that drives smaller planet gears around it.The planet gears mesh with an outer ring gear, which depending on the design carry the motion through a planet carrier

Planetary Gearboxes Contd.

Compact modular reduction

REV Planetary gearbox

Why teams like them

  • Compact for the amount of reduction.
  • Easy to mount to many FRC motors.
  • Ratios can often be swapped during prototyping.
  • Useful for arms, wrists, intakes, conveyors, and light-to-medium climbers.

FRC examples

REV MAXPlanetary, WestCoast Products VersaPlanetary, and AndyMark Sport Gearbox

Check for Understanding

Sort each aspect by gearbox type

Simple fixed ratio
Tank drive or elevator
Speed + pushing
Uses a dog gear or shifting dog
Turns power 90°
Swerve or tight packaging
Compact modular reduction
REV MAXPlanetary or VersaPlanetary

Single-Speed Spur

Dual-Speed Shifting

Right-Angle

Planetary

Custom Gearboxes

When off the shelf won't do

Custom Gearbox Use Cases

  • Arms that need high reduction and strong shaft support.
  • Elevators where it needs to fit tightly into the frame and drive chain, belt, or spool systems.
  • Climbers that need very high torque, strong shafts, ratchets/brakes, or compact packaging.
  • Shooters when a team wants a very specific wheel speed, belt path, or multi-motor setup.
  • Intakes and rollers where the motor needs to be tucked away from impacts while still driving several shafts.
  • Turrets or rotating mechanisms that need controlled slow rotation and good support against side loads.
  • Multi-output mechanisms where one motor drives multiple shafts or actions through gears, belts, or chains.
Custom Gearbox Checklist

A custom gearbox has more than just gears

Plates

Rigid, accurately spaced side plates hold shafts and bearings in alignment.

Shafts

Use the right shaft size, length, material, retaining method, and output interface.

Bearings

Support shafts on both sides of loaded gears when possible.

Gear Mesh

Correct pitch, tooth count, center distance, and profile must match.

Loads

Plan for torque, side loads, shock loads, and stall current.

Service

Design so students can inspect, lubricate, replace gears, and remove motors.

Common Mistakes

Most gearbox problems start in the design stage

Too Fast

The mechanism draws high current, accelerates poorly, or becomes hard to control.

No Shaft Support

Output shafts bend, bearings loosen, gears wear, and planetary outputs fail.

Wrong Mesh

Gears are noisy, bind, skip, or wear because the center distance is wrong.

Shock Loading

Hard hits or sudden stops break teeth, stages, keys, or couplers.

No Maintenance Access

Fast repairs become impossible because motors or shafts are trapped.

Ignoring Current

Motors brown out, breakers trip, or controllers overheat during matches.

Spur Gear Dimensions

Key measurements for design

  • Diametral Pitch/DP: Tooth size. Gears must have the same DP to mesh correctly.
  • Pressure Angle: Tooth contact angle. Gears must have the same pressure angle, commonly 20° in FRC.
  • Pitch Diameter: Main sizing circle used for spacing and center distance.
  • Outside (Addendum) Diameter: Full diameter across the tooth tips. Important for clearance inside a gearbox plate.
  • Root (Dedendum) Diameter: Diameter at the bottom of the teeth. Important for strength and tooth clearance.
  • Bore Size/Shaft Size: The hole through the gear, such as 1/2 in hex, 3/8 in hex, or round bore.
  • Face Width: Width of the gear teeth. Wider gears can handle more load but take more space.
  • Backlash / Clearance: Small space between teeth so gears do not bind.
  • Number of Teeth: Used to calculate gear ratio.
  • Center Distance: Distance between gear shaft centers. This determines whether the gears mesh smoothly.
Spur Gear Circles
Pitch Circles and Center Distance

Pitch diameter is critical to design

The pitch circle is the imaginary circle where two gears are treated as rolling together.

The pitch diameter is the diameter of that circle and is used to calculate gear ratio and center distance.

Center distance is the distance from the center of one gear shaft to the center of the other gear shaft.

Center Distance Formula

Center Distance = (Pitch Diameter 1 + Pitch Diameter 2) ÷ 2

IMPORTANT: If the centers are too close, gears bind. If they are too far apart, teeth may skip, wear quickly, or fail.

Spur Gear Pitch Circles
Tooth Height

Gear teeth extend above and below the pitch circle

Dedendum

Distance from the pitch circle down to the root of the tooth space.

Addendum

Distance from the pitch circle to the outside/top of the tooth.

Spur Gear Teeth
Tooth Contact

Pressure angle affects how force transfers between teeth

The line of action is the direction force travels between meshing gear teeth.

The pressure angle is the angle between that line of action and the tangent to the pitch circle.

Common FRC-style spur gears often use a 20° pressure angle, but teams should always match gears by pitch, pressure angle, and tooth form.

Pressure Angle
Check for Understanding

Match each gearbox term to its definition

Distance between two gear shaft centers
Tooth size; must match for gears to mesh
Angle that affects force transfer between teeth
Circle to the top of the tooth tips
Supports rotating shafts
Circle that is used to calculate gear ratio and center distance
Circle to the bottom of the teeth
Designing for inspection, repair, and replacement

Diametral Pitch/DP

Center Distance

Pressure Angle

Addendum Circle

Pitch Circle

Bearing

Dedendum Circle

Service Access

Required Quiz

Pass to complete the module

Each question is on its own slide.

Answer all 20 questions, then grade the quiz. Score at least 18 out of 20 to unlock the completion certificate.

Before You Begin

Enter Your Name

Please enter your name before starting the quiz.

This name will appear on your completion certificate.

Quiz Question 1
1 of 20

What is the main job of gearing on an FRC robot?

Quiz Question 2
2 of 20

The input gear is also called the:

Quiz Question 3
3 of 20

A 12 tooth gear drives a 60 tooth gear. What is the ratio?

Quiz Question 4
4 of 20

When gear ratio is greater than 1, output torque usually:

Quiz Question 5
5 of 20

When gear ratio is greater than 1, output angular speed usually:

Quiz Question 6
6 of 20

What does an idler gear do in a simple gear train?

Quiz Question 7
7 of 20

How do you find total ratio in a compound gear train?

Quiz Question 8
8 of 20

Which mechanism usually needs a lot of gear reduction?

Quiz Question 9
9 of 20

A single-speed spur gearbox is best described as:

Quiz Question 10
10 of 20

What is the main advantage of a shifting gearbox?

Quiz Question 11
11 of 20

Low gear in a shifting drivetrain usually gives:

Quiz Question 12
12 of 20

A worm gearbox is often chosen for:

Quiz Question 13
13 of 20

A right-angle gearbox changes power direction by about:

Quiz Question 14
14 of 20

Planetary gearboxes are commonly useful because they are:

Quiz Question 15
15 of 20

Which is an example of a REV planetary gearbox system?

Quiz Question 16
16 of 20

Which is an example of an AndyMark shifting gearbox?

Quiz Question 17
17 of 20

Why are bevel gears common in swerve modules?

Quiz Question 18
18 of 20

When designing a custom gearbox, shaft support should be:

Quiz Question 19
19 of 20

For two 20 DP gears, pitch diameter is:

Quiz Question 20
20 of 20

What is the best overall approach to gearbox selection?

Quiz Results

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You need at least 18 out of 20 to unlock the completion certificate.

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5041 CyBear Robotics

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Gearing and Gearboxes Training Module

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