Power from Force Calculator
Enter the force you must overcome and the speed you move at to get the power — the first number in sizing any linear drive.
Last updated: 2026-09-28
How the calculation works
- Power is force times velocity along the force direction — the linear analog of P = T·ω.
- Outputs in W, kW and hp connect to motor ratings directly.
- For lifting, force includes gravity: a 200 kg hoist load needs 1962 N before acceleration.
Formula
P = F × v
| Symbol | Meaning | Unit |
|---|---|---|
P | Mechanical power | W |
F | Force along the motion | N |
v | Velocity along the force | m/s |
Worked example
Interpreting the result
P = F·v explains the trade-off linear drives make: the same power buys double force at half speed. Hoists gear down for force; conveyors run fast for throughput. Remember the chain of efficiencies: motor, reducer, and any screw or belt each take a few percent — the electrical draw exceeds the mechanical power at the load. And acceleration matters at startup: torque at zero speed (locked rotor) is a motor-selection question, not this equation's.
Assumptions
- Steady velocity along the force direction.
- No losses included — add drive efficiency for electrical sizing.
Limitations
- Starting/acceleration torque needs separate sizing (motors have peak torque limits).
- For rotating systems use the torque-to-power calculator instead.
Frequently asked questions
How do I calculate power from force and speed?
Multiply them: P = F × v. 2 kN at 1.5 m/s is 3 kW. Keep units consistent (N and m/s give watts).
How much power to lift 200 kg?
Force = 200 × 9.81 = 1962 N. At 0.5 m/s: 981 W ≈ 1 kW mechanical — before motor and gearbox losses.