1B · Power/Torque & Speed
1B · PowerLesson 24 of 52

Torque & Speed

Stage 1B · Power — How gears trade torque for speed, and how to size a reduction in Fusion 360

Est 23 minLevel IntermediateSoftware Fusion 360
01

Torque Vs Speed

Every drivetrain trades one for the other

  • Torque = twisting force (units: in-lb, N-m)
  • Speed = how fast it spins (units: RPM)
  • Motors spin FAST but make LITTLE torque
  • Mechanisms need SLOW spin, BIG torque

Open with a wrench analogy: torque is how hard you twist a bolt, speed is how fast your hand spins. A NEO free-spins ~5676 RPM but its raw torque is tiny — you can stop the shaft with your fingers. A drivetrain needs the opposite. Ask: 'What happens if you bolt a wheel straight to a motor?' Answer: it spins uselessly fast and stalls instantly under load. That's WHY gears exist.

02

Power Stays Constant

You can't get torque AND speed for free

  • Power = Torque × Speed (roughly constant)
  • Gear it down: more torque, less speed
  • Gear it up: more speed, less torque
  • Friction means output power is always less

This is the single biggest idea of the lesson. Gears are a TRADE, not a magic boost. If a student says 'just add gears to get more power,' correct it: gears move power along the torque-speed curve, they never create it. Use the seesaw image — push one side down, the other goes up. Real losses: each gear mesh is ~95-98% efficient, so a 3-stage reduction loses ~10%.

03

What A Gear Ratio Is

Ratio = driven teeth ÷ driving teeth

  • Small gear drives big gear = reduction
  • 12T driving 60T = 5:1 reduction
  • Output spins 5× slower, 5× more torque
  • Count teeth, not gear diameter
FUSION 360 · SCREENSHOT
FIG 1
Two meshed FRC spur gears in a Fusion sketch/model — a small 12-tooth pinion meshing a large 60-tooth gear, with tooth counts labeled and an arrow showing the input shaft and output shaft.

Demo the SpurGear add-in: Utilities > Add-Ins > SpurGear, or the built-in Fusion spur gear generator. Generate a 20DP 12T pinion and a 60T gear, set the same pressure angle (20deg) and module/DP so teeth mesh. Stress: ratio is teeth in : teeth out. Common mistake — students measure diameter instead of counting teeth, or mix DP between two gears so they don't mesh.

Reduction Vs Overdrive

Reduction (the common one)
  • Small gear → big gear
  • Slower output, MORE torque
  • Ratio > 1 (e.g. 5:1)
  • Drivetrains, arms, climbers
Overdrive (rare in FRC)
  • Big gear → small gear
  • Faster output, LESS torque
  • Ratio < 1 (e.g. 1:2)
  • Flywheel shooters spinning fast

95% of FRC gearing is REDUCTION because motors are too fast and too weak as-is. Overdrive shows up mainly on shooters where you want a wheel screaming at high RPM and the motor can supply enough. Ask students for examples on a real robot: drivetrain (reduction ~6:1), arm (big reduction 100:1+), shooter flywheel (near 1:1 or slight overdrive).

04

Stacking Reductions

Multiply each stage to get total ratio

  • Stage 1: 12T→36T = 3:1
  • Stage 2: 14T→42T = 3:1
  • Total = 3 × 3 = 9:1
  • Use stages when one gear gets too big
FUSION 360 · SCREENSHOT
FIG 2
A Fusion component showing a 2-stage gearbox: input pinion meshing first gear on a middle shaft, then a second pinion on that shaft meshing the output gear — three shafts total, each stage labeled with its ratio.

You can't always do a huge reduction in one mesh — a 50:1 single stage would need an enormous gear. So we stack. Multiply, don't add: 3:1 then 3:1 is 9:1, not 6:1. In Fusion, model each shaft as its own component and use a Rigid joint to lock the pinion to its gear on a shared shaft. Real example: a VersaPlanetary or 3-stage WCP gearbox.

05

Calculating Output

Output RPM = motor RPM ÷ ratio

  • Output torque = motor torque × ratio
  • Kraken x44: ~6000 RPM free speed
  • Through 9:1 → ~667 RPM at the wheel
  • Torque goes up ~9× (minus friction)
FUSION 360 · SCREENSHOT
FIG 3
A simple worked calculation on screen or whiteboard: motor 6000 RPM, ratio 9:1, output 667 RPM; with torque arrow showing 9× increase.

Walk the math slowly. Free speed is the no-load number; real loaded speed is lower (~80% is a decent rule of thumb for drivetrain). Kraken x60 ~6000 RPM, NEO ~5676 RPM, NEO 550 ~11000 RPM. Point out: you NEVER reach free speed under load — that's why we also care about the stall/loaded end of the curve, which the calculators handle.

06

Units Matter

Wrong units = wrong robot

  • Speed: RPM (rev/min) or ft/s at the wheel
  • Torque: in-lb or N-m (1 N-m ≈ 8.85 in-lb)
  • Set Fusion units in Document Settings
  • FRC mixes imperial + metric — be careful

FRC is a units minefield: COTS gears are imperial (in-lb, 20DP), but motors are often spec'd in N-m. Show Document Settings > Units in the Fusion browser to set inch or mm. A classic error: computing drivetrain speed in RPM and forgetting to convert through wheel circumference to get ft/s. Wheel speed (ft/s) = RPM × wheel circumference (ft) ÷ 60.

Key idea

Gears trade torque for speed — never both.

Reduce to multiply torque and divide speed; the product (power) only ever goes down.

07

Use Recalc & Jvn

Don't guess ratios — calculate them

  • ReCalc: drivetrain, arm, flywheel calcs
  • JVN sheet: torque, current, time-to-goal
  • Inputs: motor, count, ratio, load, wheel
  • Outputs: speed, torque, current draw
FUSION 360 · SCREENSHOT
FIG 4
Screenshot of the ReCalc drivetrain calculator (or JVN spreadsheet) with motor type, motor count, gear ratio, and wheel diameter fields filled in, showing output speed and current.

These free tools (reca.lc and the JVN design calculator) turn the math we just did into a real design check. They also flag current draw — if your ratio pulls too many amps you'll brown out or trip a breaker. Workflow: pick a target (e.g. 15 ft/s drivetrain), let the calculator tell you the ratio, THEN build that ratio in Fusion. Calculate first, CAD second.

08

Drive Ratio With Parameters

Let teeth counts drive your CAD

  • Modify > Change Parameters in Fusion
  • Add user params: drivingT, drivenT
  • Compute ratio = drivenT / drivingT
  • Change a number, model updates
FUSION 360 · SCREENSHOT
FIG 5
The Fusion Change Parameters dialog (Modify > Change Parameters) with User Parameters drivingT = 12, drivenT = 60, and a ratio parameter expressed as drivenT / drivingT.

This is the Fusion equivalent of Onshape Variables. Modify > Change Parameters > '+' under User Parameters. Drive your SpurGear tooth counts from these params so changing drivenT from 60 to 48 re-cuts the gear automatically. Teach naming with no spaces. Common mistake: typing a raw number into a feature instead of referencing the parameter — then nothing updates downstream.

Your Task

Build a 2-stage reduction
  • Target total ratio ≈ 9:1 (Kraken input)
  • Use SpurGear add-in, 20DP, 20° angle
  • Drive tooth counts with User Parameters
  • Rigid-joint each pinion to its gear
How to submit
  • Verify ratio in ReCalc first
  • Note output RPM + torque in a sketch text
  • Fusion: Share > Public Link
  • Paste the link on AltHub

Give them a target spec, not a recipe — they should reach 9:1 their own way (e.g. 3×3 or 4×2.25). Check that pinions and gears share DP and pressure angle or they won't mesh. Check joints: each gear pair on one shaft must be Rigid, not Revolute. Remind them to confirm the ratio in ReCalc BEFORE submitting. Collect Fusion Share public links on AltHub.

09

🧰 Add-ins for this step

Use the installed AltSkripts / FRC-COTS tools here — don't do it the slow way.

  • C-C Distance — computes the exact center distance for the ratio you pick.
Recap

Torque & Speed Calculate, Then Cad

  • Gears trade torque for speed — power is conserved
  • Ratio = driven ÷ driving; multiply stages
  • Out RPM = in ÷ ratio; out torque = in × ratio
  • Use ReCalc/JVN to pick ratios and watch current

Your Task

Build this
  • Model what this lesson covers in Fusion 360.
  • Use the AltSkripts tools where they apply.
  • Save it with a clear name.
How to submit
  • In Fusion: Share → Public Link → Copy.
  • Paste the link below.
  • A coach reviews it in AltHub.