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Calcimator

Horsepower Calculator

Calculate engine horsepower from torque and RPM or estimate HP from quarter mile time and vehicle weight. Convert between HP, kW, and metric horsepower.

Horsepower and torque are related but distinct measures of an engine's output -- torque is the rotational force the engine produces, while horsepower is the RATE at which that force does work, which is why engine speed (RPM) has to enter the calculation. This calculator's default method uses the standard SAE formula, Horsepower = (Torque x RPM) / 5252, a constant derived from the mechanical definition of horsepower (33,000 ft-lb of work per minute) combined with the relationship between rotational speed and linear work rate. Because RPM is a direct multiplier in that formula, the same torque figure produces more horsepower at higher engine speeds -- which is why high-revving engines can produce strong horsepower figures even with comparatively modest torque, while low-revving diesel engines often post huge torque numbers but more modest horsepower. The calculator's alternate method estimates horsepower purely from a vehicle's quarter-mile elapsed time and weight, using a classic empirical drag-strip formula (HP = Weight x (5.825/ET)^3) that back-calculates an approximate power figure from real-world acceleration performance rather than a dyno measurement -- useful for a rough estimate when only time-slip data is available, though it necessarily folds in traction, gearing, and driver skill alongside raw engine output. Results are also converted to kilowatts, metric horsepower (PS), and BTU per hour using standard fixed conversion factors.

Inputs

lb-ft
RPM

Results

Horsepower (SAE)

366.5 HP

≈ 18 homes' peak draw

Kilowatts273.3 kW
Metric Horsepower371.6 PS
BTU per Hour932,602
Torque Estimate350 lb-ft
Formula UsedHP = (Torque × RPM) / 5252
How to Use This Calculator
  1. Choose a Calculation Method: From Torque & RPM, or From Quarter Mile time.
  2. For the torque method, enter Torque in lb-ft and the Engine RPM at which that torque was measured (e.g. peak-torque RPM).
  3. For the quarter-mile method, enter Vehicle Weight in lbs and Quarter Mile Time in seconds.
  4. Review the Horsepower (SAE), Kilowatts, and Metric Horsepower (PS) outputs.
  5. Use the Formula Used field to understand exactly which equation was applied.

How the result changes with Torque

TorqueHorsepower (SAE)
500523.6 HP
1,7501,832.6 HP
3,2503,403.5 HP
4,5004,712.5 HP

What each input means

Calculation Method
Type of calculation to perform.
Torque
Engine torque in pound-feet
Engine RPM
Engine speed at peak torque
Vehicle Weight
Total weight including driver
Quarter Mile Time
Elapsed time for 1/4 mile

What each result means

Torque Estimate
From the torque method, this is simply your entered torque. From the quarter-mile method, it's estimated assuming peak power occurs at 5,500 RPM, a typical but not universal figure -- treat it as a rough reference, not a measured value.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Calculation Method = 1, Torque = 350, Engine RPM = 5500, Vehicle Weight = 3500 = 5 input(s) provided
  2. Calculate Horsepower
    Horsepower
    366.5 = 366.5
  3. Calculate Kilowatts
    Kilowatts
    273.3 = 273.3
  4. Calculate Metric Horsepower
    Metric Horsepower
    371.6 = 371.6

Engine last updated . Checked against 2 independently-derived tests how we verify calculators.

Frequently Asked Questions

Why does the same torque figure produce more horsepower at a higher RPM?

Horsepower measures the RATE of work, not just the force applied -- in the formula Horsepower = (Torque x RPM) / 5252, RPM is a direct multiplier. An engine producing 300 lb-ft of torque at 6,000 RPM is doing that same rotational work twice as fast as one producing 300 lb-ft at 3,000 RPM, so it registers roughly double the horsepower even though the torque figure is identical.

Why does the quarter-mile method estimate different horsepower than the torque/RPM method might suggest?

The quarter-mile formula (HP = Weight x (5.825/ET)^3) back-calculates an APPROXIMATE power figure purely from acceleration performance -- elapsed time and vehicle weight -- so it inherently captures real-world factors like tire traction, gearing, aerodynamic drag, and driver skill that a pure torque/RPM dyno-style calculation does not. The two methods measure related but different things and won't necessarily agree exactly.

What does the 5252 constant in the horsepower formula actually represent?

5252 comes from the mechanical definition of one horsepower as 33,000 foot-pounds of work per minute, combined with the conversion between RPM and radians per minute (via 2*pi). It's the specific constant that makes torque (in lb-ft) times RPM, divided by 5252, come out directly in horsepower -- and it's also the RPM value at which torque and horsepower curves always cross on a dyno chart.

How is metric horsepower (PS) different from the horsepower this calculator reports by default?

The default horsepower figure is SAE (mechanical) horsepower, the standard unit used in the US. Metric horsepower (PS, "Pferdestärke") is a very slightly smaller unit, so converting from SAE horsepower to PS multiplies by approximately 1.01387 -- meaning a given engine's power rating reads as a marginally larger number in PS than in SAE horsepower.

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