Torque & Speed
Stage 1B · Power — How gears trade torque for speed, and how to size a reduction in Fusion 360
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.
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%.
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
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
- Small gear → big gear
- Slower output, MORE torque
- Ratio > 1 (e.g. 5:1)
- Drivetrains, arms, climbers
- 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).
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
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.
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)
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.
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.
Gears trade torque for speed — never both.
Reduce to multiply torque and divide speed; the product (power) only ever goes down.
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
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.
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
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
- 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
- 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.
🧰 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.
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
- Model what this lesson covers in Fusion 360.
- Use the AltSkripts tools where they apply.
- Save it with a clear name.
- In Fusion: Share → Public Link → Copy.
- Paste the link below.
- A coach reviews it in AltHub.