Engine Horsepower Calculator
Engine horsepower is torque times rpm divided by 5,252, so 400 lb-ft at 4,000 rpm makes 304.6 hp. Enter torque and rpm for a direct answer, or estimate from displacement and brake mean effective pressure, and the calculator returns hp, torque and hp per liter.
Three ways to an engine's horsepower: measured torque at a known rpm, rated power at a known rpm, or displacement and BMEP before the engine is ever on a dyno.
All calculations run in your browser, and nothing you type is uploaded or stored.
| Horsepower | |
| Torque | |
| Power in kW | |
| Power in metric horsepower (PS) | |
| Horsepower per liter | |
| Implied BMEP | |
| Displacement in cubic inches | |
This is crankshaft power, not wheel power. Ratings depend on the test standard (net since 1972, with the SAE correction), and altitude, heat and humidity move the real number, so treat the estimate as a sanity check against the manufacturer's rating.
Enter torque and rpm for a direct horsepower answer, or estimate power from displacement and brake mean effective pressure before you ever see a dyno.
Key takeaways
- hp = torque x rpm / 5,252, so the same 400 lb-ft is 304.6 hp at 4,000 rpm and 418.9 hp at 5,500 rpm
- hp per liter = BMEP (bar) x rpm / 895, and a 2.0 L turbo at 18 bar and 5,800 rpm makes 233 hp
- US cars switched from gross to net ratings by the 1972 model year, and net ratings run 15 to 25 percent lower
- A naturally aspirated engine loses about 3 percent of its power per 1,000 feet of elevation, so 300 hp becomes 255 hp at 5,000 feet
- The 5,252 constant is 550 ft-lb per second per horsepower times 60 seconds, divided by 2 pi
On this page
- What an engine horsepower calculator measures
- Torque, rpm and the 5,252 constant
- Horsepower from displacement and BMEP
- Worked example: a 2.0 L turbo four
- Gross versus net: the 1972 rating change
- Altitude, weather and dyno correction
- Sanity checks: hp per liter and fleet averages
- How to check a horsepower claim
What an engine horsepower calculator measures
Horsepower is a rate of doing work. One mechanical horsepower is 550 foot-pounds per second, which is 745.6999 watts (NIST Guide to the SI, Appendix B.9). An engine that makes 300 hp is doing the work of lifting 550 pounds 300 feet every second, at least at the crankshaft on a test bench.
Everything an engine horsepower calculator does starts from that definition plus two things you can measure or look up: how hard each power stroke pushes (torque) and how fast the pushes arrive (rpm). There is no separate property called horsepower hiding inside an engine. It is torque delivered over speed, and any route to it is an estimate of that product.
This page works from the crankshaft. Wheel horsepower is a different number, lower by the share the drivetrain eats, and it has its own treatment. If you have a dyno sheet from the wheels, convert it back to crank power first and then compare.
Two more labels show up on power figures. Indicated horsepower is what the engine develops inside the cylinder, measured or inferred before the friction and pumping losses, and it is always higher than what reaches the dyno. Brake horsepower is what is measured at the crankshaft with the engine turning, and it is the number a dyno sheet reports. Since a good engine loses 10 to 15 percent of its indicated power to friction, pumping and windage, a claim of 350 indicated hp points to about 300 brake hp.
Torque, rpm and the 5,252 constant
Torque in pound-feet already is work per revolution. Horsepower turns that into work per second, and one horsepower is 550 foot-pounds per second. One revolution at a given torque moves the equivalent of 2 pi times the torque in foot-pounds, so:
hp = torque (lb-ft) x rpm / 5,252
The 5,252 is not arbitrary: 550 ft-lb per second x 60 seconds = 33,000 ft-lb per minute, and one revolution turns that through 2 pi radians, so 550 x 60 / 6.2832 = 5,252. Below 5,252 rpm an engine makes more torque than horsepower; above it, more horsepower than torque. Every dyno plot crosses over at exactly 5,252 rpm for that reason.
| Torque (lb-ft) | At 3,000 rpm | At 5,252 rpm | At 6,500 rpm |
|---|---|---|---|
| 200 | 114.2 hp | 200 hp | 247.5 hp |
| 300 | 171.4 hp | 300 hp | 371.3 hp |
| 400 | 228.5 hp | 400 hp | 495.0 hp |
| 500 | 285.6 hp | 500 hp | 618.8 hp |
Read the table left to right and you can see why high rpm engines make big numbers from small torque. Double the rpm at the same torque and horsepower doubles, even though the engine never pushes harder.
The formula also explains why engine builders talk about a torque peak and a power peak separately. Torque is the force in the cylinder, and it depends on how much air is burning and how efficiently. Horsepower adds the speed of the fire. An engine can make the most torque it will ever make at 2,500 rpm and still have most of its power left at 6,000, which is why a wide-open drag race is won on the top end and not on the peak torque number.
Horsepower from displacement and BMEP
Before an engine exists, engineers estimate its power from brake mean effective pressure (BMEP), the average pressure pushing the pistons down through the power stroke. For a four-stroke engine:
hp = BMEP (bar) x displacement (L) x rpm / 895
Divide both sides by the displacement and you get hp per liter = BMEP x rpm / 895, the number engine builders use to compare one design against another. Typical BMEP bands are narrow, which is what makes the estimate useful.
| Engine family | Typical BMEP | Rpm at peak power | hp per liter |
|---|---|---|---|
| Small utility four-stroke | 7.5 bar | 3,600 | 30.2 |
| Naturally aspirated economy car | 10.5 bar | 6,200 | 72.7 |
| High-revving naturally aspirated | 12 bar | 7,500 | 100.6 |
| Turbocharged mainstream | 17 bar | 5,500 | 104.5 |
| Turbocharged performance | 20 bar | 6,000 | 134.1 |
| Heavy duty diesel | 22 bar | 2,800 | 68.8 |
A diesel makes less power per liter than its 22 bar pressure suggests because it turns so slowly: pressure times displacement times rpm, and a low rpm caps the third factor no matter how hard the first one works.
Cylinder count and stroke type change the constants, not the method. A four-stroke engine has one power stroke every two revolutions, which is where the 1,200 in the kilowatts formula comes from. A two-stroke fires every revolution and makes about twice the power per liter, so a 125 cc motocross two-stroke at 38 hp works out to 304 hp per liter, far outside every band in the table.
Worked example: a 2.0 L turbo four
Take a 2.0 L turbocharged four with the torque curve below, measured on an engine dyno with the SAE correction applied. Horsepower at each point is torque x rpm / 5,252.
| Rpm | Torque (lb-ft) | Horsepower |
|---|---|---|
| 1,500 | 210 | 60.0 |
| 2,500 | 255 | 121.4 |
| 3,500 | 260 | 173.3 |
| 4,500 | 245 | 209.9 |
| 5,500 | 220 | 230.4 |
| 6,500 | 190 | 235.1 |
Peak torque of 260 lb-ft arrives at 3,500 rpm, but peak horsepower of 235 hp does not arrive until 6,500 rpm, because horsepower keeps climbing as long as rpm rises faster than torque falls. Torque at the power peak is only 190 lb-ft, less than three quarters of the headline torque figure, and that is normal.
The BMEP check closes the loop: 235 hp from 2.0 L at 6,500 rpm implies 235 x 895 / (2.0 x 6,500) = 16.2 bar, which sits inside the turbocharged mainstream band in the table above. If a claimed figure implied 40 bar, the claim, not the formula, is wrong.
Turbocharging shows up in the same arithmetic as added BMEP. A 2.0 L naturally aspirated engine at 11 bar and 6,500 rpm makes 11 x 2.0 x 6,500 / 895 = 159.8 hp. The same block at 18 bar makes 261.5 hp at the same speed, and the extra 102 hp came from air the engine could not previously swallow.
Gross versus net: the 1972 rating change
US automakers rated engines by SAE gross horsepower until the early 1970s, measured with no air cleaner, no muffler, no alternator and no cooling fan attached. Net ratings, adopted as the SAE J1349 procedure took hold and applied across the industry by the 1972 model year, install the engine as the car does. The same hardware loses 15 to 25 percent of its rated number in the changeover.
| Item during the test | Gross rating | Net rating |
|---|---|---|
| Air cleaner | Not installed | Production unit installed |
| Muffler and exhaust | Free-flow lab system | Production system |
| Alternator, water pump, fan | Not driven | Driven as in the car |
| Typical gap | Baseline | 15 to 25 percent lower |
A 1970 advertisement listing 350 gross hp points to roughly 280 net hp at a 20 percent gap: 350 x 0.8 = 280. Classic car listings still mix the two standards, so the first question to ask about any pre-1972 horsepower figure is which standard it was rated under. Gross ratings did not measure a different engine; they measured a different installation.
The change also explains why classic horsepower numbers feel inflated. A 1970 muscle car advertised 350 gross hp and ran 13.5 seconds in the quarter mile, and those two numbers are both true at the same time. The gross rating was measured without the equipment the car carried, and the quarter mile number included all of it.
Altitude, weather and dyno correction
A naturally aspirated engine is an air pump, and thin air shrinks the pump. The usual rule of thumb is a loss of about 3 percent of power per 1,000 feet of elevation. A 300 hp engine at 5,000 feet loses about 15 percent: 300 x 0.85 = 255 hp. Denver driving costs a naturally aspirated engine one car length of acceleration out of every seven.
A turbocharged engine loses a fraction of that, because the turbo spins harder until it reaches its pressure ceiling. High heat and humidity also cost power, since hot humid air is less dense than the cool dry air the ratings assume.
Dyno numbers are corrected for this. The SAE J1349 standard corrects measured power to a reference day of 77 F and 99 kPa of dry air, so a correction factor accompanies every legitimate dyno sheet. An uncorrected number measured on a cold morning can read several percent above the same engine tested the same day in July, which is worth asking about before you compare two sheets.
Air temperature matters for the same reason altitude does. Density falls about 1 percent for every 10 F of temperature, so a 90 F day takes about 2 percent off a naturally aspirated engine compared with a 70 F day, and a cold dense morning at 40 F is worth a little more than the reference day the ratings assume.
Sanity checks: hp per liter and fleet averages
When a claimed figure looks wrong, compare its specific output against real engines.
| Engine | Displacement | Power | hp per liter |
|---|---|---|---|
| Naturally aspirated economy four | 2.0 L | 150 hp | 75.0 |
| 2.0 L turbo example above | 2.0 L | 233 hp | 116.5 |
| Naturally aspirated V8 pickup | 5.3 L | 355 hp | 67.0 |
| Heavy duty diesel six | 6.7 L | 461 hp | 68.8 |
| Small turbo three | 1.5 L | 177 hp | 118.0 |
Fleet data backs the same bands. According to the 2025 edition of EPA's Automotive Trends report, the average new vehicle produced 258 hp in model year 2024, and the specific power of gasoline engines has climbed about 0.02 horsepower per cubic inch every year for 50 years (EPA Automotive Trends data). Displacement fell over the same period, which is the whole story of turbos, direct injection and higher compression.
Outside those bands, do not assume the engine is exotic. Assume the rating is measured on different equipment, at the wheels instead of the crank, or measured wrong.
Weight completes the picture, because horsepower only means something next to the mass it moves. EPA tracks horsepower and weight together, and the average new vehicle in model year 2024 carried 4,354 pounds and 258 hp, which is about 16.9 pounds per horsepower. A 1985 compact with 90 hp and 2,300 pounds was at 25.6 pounds per hp, which is why it felt lively in a different way from a modern car with the same output.
How to check a horsepower claim
Three checks catch most inflated claims without a dyno.
Convert the units. European spec sheets quote kilowatts: 1 kW is 1.341 hp, so a 300 kW engine is 402 hp, not 300. Metric horsepower (PS) is a third unit, worth 98.6 percent of a mechanical horsepower.
Back out the BMEP. Divide claimed hp by displacement and rpm using the formula above. Anything above about 135 hp per liter on pump gasoline needs racing fuel, high boost or an explanation.
Ask what the number includes. Crank or wheels, corrected or not, gross or net, and at what rpm. A figure quoted without an rpm is close to meaningless, because the same engine produces different horsepower at every speed on the curve.
For engine swaps and builds, run the calculator in the BMEP mode first to size the hardware, then compare the projected torque curve against the transmission and rear axle ratios you plan to use. The calculator is an estimator, not a substitute for the manufacturer's tested rating.
Frequently asked questions
What is the formula for engine horsepower?
Horsepower equals torque in pound-feet times rpm divided by 5,252. An engine making 300 lb-ft at 4,000 rpm produces 228.5 hp. For a power estimate before the engine is built, hp = BMEP (bar) x displacement (L) x rpm / 895.
How much horsepower is 400 lb-ft of torque?
It depends on rpm: 400 lb-ft is 228.5 hp at 3,000 rpm, 304.6 hp at 4,000 rpm, 400 hp at 5,252 rpm and 495.0 hp at 6,500 rpm.
Where does the 5,252 constant come from?
One horsepower is 550 foot-pounds per second. Multiply by 60 seconds to get 33,000 foot-pounds per minute, then divide by 2 pi radians per revolution, and you get 5,252. It is the rpm where torque and horsepower curves cross.
How do I calculate horsepower from engine displacement?
Pick a brake mean effective pressure for the engine family: about 10.5 bar for an economy engine, 17 bar for a mainstream turbo, 20 bar for a performance turbo. Then hp = BMEP x liters x rpm / 895. A 2.0 L turbo at 18 bar and 5,800 rpm works out to 233 hp.
What is brake mean effective pressure?
BMEP is the average cylinder pressure across the power stroke, expressed as if it acted on the pistons evenly. It is not a measurement of peak pressure; it is a convenient way to rate how hard an engine of any size works per liter.
Why do 1960s muscle cars have such high horsepower ratings?
They were rated by SAE gross, with no air cleaner, muffler, alternator or fan installed. The industry switched to net ratings by the 1972 model year, and the same engines lost 15 to 25 percent of their published number in the changeover.
How much horsepower does altitude cost?
A naturally aspirated engine loses about 3 percent per 1,000 feet, so a 300 hp engine behaves like a 255 hp one at 5,000 feet. Turbocharged engines lose a fraction of that because the turbo compensates until it hits its boost ceiling.
What is a good horsepower per liter?
Around 65 to 75 hp per liter for a naturally aspirated economy engine, 100 to 120 for a mainstream turbo, up to about 135 for a performance turbo on pump gas, and only about 30 for a governed utility engine.
How many kilowatts is 300 horsepower?
One mechanical horsepower is 0.7457 kW, so 300 hp is 223.7 kW. Going the other way, 1 kW is 1.341 hp, so a European spec sheet reading 300 kW means 402 hp.
How much torque does 300 hp make at 3,000 rpm?
Rearrange the formula: torque = hp x 5,252 / rpm. Three hundred horsepower at 3,000 rpm is 525.2 lb-ft, and at 6,000 rpm the same power needs only 262.6 lb-ft.
Is brake horsepower the same as engine horsepower?
Yes, when brake horsepower means power measured at the crankshaft on a dynamometer. The confusion is with wheel horsepower, which is lower by the drivetrain loss, typically 12 to 22 percent on street cars.
Does a cold air intake add horsepower?
On most modern engines the gain is small, usually a few horsepower, because the factory intake already feeds cool air. Bigger gains come from changes that raise BMEP or rpm: boost pressure, compression ratio, cam timing and better breathing heads.
Can I trust a dyno sheet?
Check two things: that the sheet states an SAE correction (J1349 corrects to 77 F and 99 kPa dry air), and whether it reads crank or wheel horsepower. An uncorrected pull on a cold morning can read several percent above the same engine tested in summer heat.
Why does horsepower keep rising even as engines get smaller?
Turbos, direct injection and higher compression raise BMEP, and engines rev cleaner than they used to. EPA's long term data shows gasoline engine specific power climbing about 0.02 horsepower per cubic inch every year for 50 years while displacement fell.
Does redline limit horsepower?
Horsepower peaks when the loss of torque with rpm outruns the gain from spinning faster. An engine whose torque holds at high rpm keeps making power to redline; one whose torque collapses early peaks well below redline no matter how far it revs.
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