Newton to Horsepower Calculator
Convert force in newtons and velocity into horsepower.
Power is force times velocity. This calculator converts a force in newtons and a velocity in metres per second into power, expressed in both watts and horsepower.
Newton to Horsepower Formula
How to Use This Calculator
- Enter force in newtons.
- Enter velocity in metres per second.
- Read horsepower, with watts shown too.
Worked Example
Power = Force × Velocity
This is one of the most fundamental relationships in mechanics. A force does work as it moves something, and the rate of that work is power. Push with 5,000 newtons while moving at 20 metres per second and you're producing 100,000 watts — about 134 horsepower. The faster the same force moves, the more power is required, which is why pushing a car slowly is easy but accelerating it hard demands serious power.
Where This Applies
Force-times-velocity power shows up in tractive-effort calculations (the pulling force of a vehicle at a given speed), winch and crane design, linear actuators, and physics problems. If you know the resistance a machine overcomes and how fast it moves, this converts that directly into the horsepower needed.
Power from Force and Speed
| Force (N) | Velocity (m/s) | Power (kW) | HP |
|---|---|---|---|
| 2,000 | 10 | 20 | 26.8 |
| 5,000 | 20 | 100 | 134.1 |
| 10,000 | 15 | 150 | 201.2 |
Frequently Asked Questions
Newtons alone can't convert to horsepower — you need velocity. Power (watts) = force × velocity, then divide watts by 745.7 for horsepower.
Because power is the rate of doing work. A force does no work, and produces no power, unless something is moving, so velocity is required.
A newton is the SI unit of force — the force needed to accelerate one kilogram at one metre per second squared. It's roughly the weight of a small apple.
Force × velocity already gives watts; divide by 1,000 for kilowatts. 100,000 W equals 100 kW.
Yes. Any force and the speed at which it acts gives power. It works for thrust, drawbar pull, or any applied force with a velocity.