Fareed Mohmed← All physics

Physics, visually · Work, Energy & Power · Concept 07

Gears: Speed vs Torque

Why does a bicycle have gears, and why is a lift motor always connected through a big gearbox?

Gears let a motor swap speed for turning force (torque). Change the teeth and watch both numbers move.

1Play
Gear ratio0
Output speed0
Output torque0
2Try this
  1. Make the driven gear bigger than the driver (for example 20 and 40 teeth). It turns slower but pushes harder.
  2. Make it smaller than the driver. Now it spins fast but is weak. This is what a bicycle does in a high gear.
  3. Give both gears the same teeth. Same speed, same torque: only the direction flips.
3Remember it
Memory hook

Big gear is slow and strong, small gear is fast and weak.

Meshed gears share the same tooth speed at the contact point. So a gear with more teeth turns more slowly but with more torque. The ratio of teeth is the ratio of speed (inverted) and the ratio of torque.

Gear ratioi = Ndriven / Ndriver
Speednout = nin / i
TorqueTout = Tin × i (ideal)
DirectionMeshing gears turn in opposite directions
4See it in a machine

Gearbox on a conveyor motor

A 1400 rpm motor must drive a belt at 60 rpm. A 23:1 gearbox makes the speed right and raises torque 23 times.

Servo and robot joints

Harmonic and planetary gearboxes give ratios of 50 to 160 so a small motor can hold a heavy robot arm.

Lifts and winches

A winch drum turns slowly with huge torque: motor speed is traded down through the gears.

5Check yourself