HesapHanem

Power from Force and Velocity Calculator

Enter the force and velocity to find the power.

How it is calculated

Mechanical power is force times velocity: P = F × v, with F in newtons (N) and v in metres per second (m/s), giving P in watts (W). The tool then converts that same figure to kilowatts with kW = W ÷ 1000 and to mechanical horsepower with hp = W ÷ 745.7. All three are rounded to two decimals.

The formula assumes the force acts along the direction of motion and that both values are steady. Any number is accepted: a negative force or velocity gives negative power, which in physics means the force opposes the motion and takes energy out of the object (braking, drag) rather than adding it. A zero in either field gives zero power. There are no unit selectors, so convert kilograms-force, km/h or mph yourself first.

Worked example

A towing force of 1200 N is applied while moving at a steady 25 m/s. Power = 1200 × 25 = 30,000.00 W. In kilowatts: 30,000 ÷ 1000 = 30.00 kW. In mechanical horsepower: 30,000 ÷ 745.7 = 40.23 hp. So holding that force at that speed demands about 30 kW at the point where the force is applied, before any losses in the drivetrain.

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Common mistakes

  • Entering speed in km/h or mph. The field expects m/s, so 90 km/h must first be turned into 25 m/s; typing 90 gives a result 3.6 times too large.
  • Entering a mass in kilograms in the force field. The force must be in newtons; a weight of 100 kg-force is about 981 N, not 100.
  • Treating the result as engine power. It is the power at the point where the force acts; engine output must be higher by the drivetrain losses.
  • Using a non-constant force or an average speed for something that accelerates. The formula gives instantaneous power for the pair of values you enter.
  • Confusing horsepower types. The tool uses mechanical horsepower (745.7 W); metric horsepower or electrical ratings differ slightly.

About this calculator

In mechanics, power is the rate at which work is done, and when a constant force acts on an object moving at a steady velocity in the same direction, that rate simplifies to P = F × v — force multiplied by velocity. This is the mechanical-power counterpart to the electrical formula P = V × I, and it applies directly whenever something is pushed, pulled, or driven at a known speed against a known resisting force.

This calculator multiplies a given force and velocity to find power, and presents the result in watts, horsepower, and kilowatts so it's usable across contexts. It's a core formula for mechanical and automotive engineers sizing motors, calculating the power a vehicle's engine must deliver to overcome drag or rolling resistance at a given speed, and analyzing machinery where a known force must be sustained at a known rate of motion.

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