← All Modules
07Motion

Gears & Mechanisms

Spur gears, worm drives, linkages, cams, and the drivetrains that make robots move.

Animated spur gears meshing at a 2:1 ratio — the driven gear has twice the teeth of the driver.

Four-Bar Linkage

1 Experience
2 Reflect
3 Theorize
4 Apply

Mechanisms & Motion

Mechanisms convert input motion into desired output through rigid bodies and joints -- bridging motors to robot actions.

Gear Fundamentals

Gears transmit rotary motion between shafts. The gear ratio determines the speed-torque trade-off.

Gear Ratio = Driven Teeth / Driver Teeth

Example: A 60-tooth driven gear meshed with a 20-tooth driver gear → 60 / 20 = 3:1 ratio. The output shaft turns 3× slower but with 3× the torque.

Spur Gears

Straight teeth parallel to the axis. Ideal for parallel shafts. Easy to manufacture but noisy at high speeds.

Bevel Gears

Cone-shaped gears for intersecting shafts, typically at 90°. Used to change drive direction. Common in differentials.

Worm Gears

A worm meshes with a wheel for very high ratios in compact space. Naturally self-locking, ideal for lifts and winches.

Planetary Gears

Sun, planet, and ring gears in a compact coaxial arrangement. High torque density with multiple ratios. Common in servo gearboxes.

Common Robotics Mechanisms

Beyond gears, robots use these mechanisms to convert and redirect motion.

Four-Bar Linkage

Four bars connected by revolute joints in a closed loop. Varying link lengths yields crank-rocker, double-crank, or double-rocker motion. Used in arms, claws, and walking legs.

Crank-Slider

Converts rotary to linear motion (or vice versa) via a crank and connecting rod. Used in piston actuators and punching mechanisms.

Cam & Follower

A profiled cam pushes a follower along a precise path. Motion profile (rise, dwell, return) is set by cam shape. Useful for timing and indexing.

Belt & Pulley

Transmits motion between distant shafts. Timing belts prevent slippage (3D printers, linear stages). V-belts absorb shock. Ratio works like gears: larger driven pulley = more torque, less speed.

Drivetrain Layouts

The drivetrain determines how a mobile robot moves, trading off maneuverability, speed, complexity, and traction.

Tank Drive

Two independently driven sides. Turns via speed differential. Simple, durable, strong push. Skid-steering wears wheels on hard surfaces.

Mecanum Drive

Angled rollers enable omnidirectional movement without rotating the chassis. Complex control but unmatched agility.

Swerve Drive

Each wheel steers and drives independently. Tank power meets mecanum agility. Most complex but the gold standard in competition.

Differential Drive

Two driven wheels on a common axis with casters for balance. The simplest drivetrain. Common in educational robots and AGVs.

Robotics Tip

Model gears as simplified cylinders with pitch-circle diameters for assembly work. Full tooth profiles are only needed for manufacturing drawings or FEA.

Cam & Follower Mechanism — a rotating cam with harmonic profile drives a flat-face follower through its guide.

Challenge

Adjust the gear teeth to achieve exactly a 3:1 gear ratio (output speed 1/3 of input).

⚠ Predict First

If you double the number of teeth on the driven gear, what happens to the output speed?

Gear Ratio = Driven Teeth / Driver Teeth

Ratio > 1: torque multiplication (slower, stronger). Ratio < 1: speed multiplication (faster, weaker).

Power is conserved (minus friction): Torque x Speed = constant

Common ratios in robotics: 3:1 to 100:1 for arms, 1:1 to 5:1 for drivetrains.

Guided Exploration
  1. Set a 1:1 ratio. Note the output speed and torque values.
  2. Find the combination that gives exactly 4:1 torque advantage.
  3. What is the highest ratio you can achieve? Would this be practical for a real robot?
Stage 2 Pause and Reflect
✓ Your reflections are saved automatically
Stage 4 Apply What You Learned

Your competition robot needs to launch a ball. Design the mechanism approach.

  • Choose between a flywheel (gears), catapult (linkage), or linear puncher (cam)
  • Calculate the gear ratio needed if your motor spins at 6000 RPM and you need 2000 RPM output
  • Identify how you would transmit power from the motor to the mechanism
  • Consider: what happens if the mechanism jams? How do you protect the motor?
0 / 4
← Previous
Next →