Quarter-Mile ET and Trap-Speed Calculator
Estimate quarter-mile ET and trap speed from race weight and horsepower with the Fox, Huntington or Hale cube-root formulas, plus weight per horsepower.
Quarter-Mile Calculator
Background.
How quick a car runs the quarter mile comes down, to a first approximation, to one ratio: how many pounds each horsepower has to move. A 3,200 lb car with 400 hp carries 8 lb per horsepower, and on the Fox street-car constants that predicts 12.538 seconds at 115 mph. The relationship runs through a cube root, which is why big changes buy surprisingly little: double the power to 800 hp and the estimate improves only to 9.951 seconds, about a fifth quicker rather than twice as quick.
Three constant sets are offered. Huntington (6.290 for time, 224 for speed) and Fox (6.269 and 230) describe street cars. Hale (5.825 and 234) describes race-prepared cars that launch harder and shift faster, so it predicts a quicker run from identical numbers: 11.65 seconds for the same 400 hp car, close to nine-tenths quicker than Fox. That spread is a fair picture of what preparation can be worth next to the specification sheet.
No power-to-weight formula sees what happens where the tires meet the track. Two cars with the same weight and power can be a second apart if one spins off the line, has tall gearing or a slow-shifting automatic, or runs on a hot afternoon at altitude. Trap speed usually follows power more faithfully than elapsed time, because the speed at the far end depends less on how the first sixty feet went, and that difference turns out to be useful. It lets the estimate do two jobs well: comparing changes on one car, such as what 150 lb of weight saving or a 50 hp gain might be worth, and reading a real time slip to tell a launch problem from a shortage of power.
What is quarter-mile calculator?
A quarter mile is 1,320 feet, exactly 402.336 metres, measured from the starting line to the finish line of a drag strip. Elapsed time, or ET, is the time the car takes to cover that distance: the clock starts when the front tires leave the starting beam and stops when the car breaks the finish beam, so the driver's reaction to the lights is timed separately and is not part of it. Trap speed is the speed the car carries through a short timed section just before the finish line, an average over that last stretch rather than a reading at a single point. A time slip also shows intermediate splits, most importantly the 60-foot time, which reflects the launch almost on its own. Weight per horsepower is the ratio that links them all here: the lower it is, the quicker and faster the car is predicted to be.
How to use this calculator.
- Enter total race weight in pounds as the car will actually run: driver in the seat, the fuel load you race with, and anything bolted in or carried. A public weighbridge or the track's scales give a real figure; the brochure curb weight leaves out the driver. From kilograms, multiply by 2.2046, so 1,450 kg is about 3,197 lb.
- Enter horsepower. A figure in kilowatts converts by multiplying by 1.341 (220 kW is about 295 hp), and metric PS by multiplying by 0.9863. Decide whether you are using the maker's engine rating or a chassis-dyno figure measured at the wheels, and keep to that choice for every comparison.
- Choose the model. Fox or Huntington suit a street car on street tires; Hale suits a car set up to race, with sticky tires, a launch-friendly clutch or converter and quick shifts.
- Read the ET, the trap speed and the weight per horsepower. To weigh up a modification, change only the weight or the power and leave the model where it was, since switching models moves the answer more than most upgrades do.
- To check a real pass, enter the weight from the scales and the power you believe the car makes. A predicted trap speed well above what you ran suggests the power figure is optimistic; a trap speed that matches while the ET lags points to time lost at the launch.
The formula.
The two estimates are ET = C_ET × (W ÷ HP)^(1/3) and MPH = C_MPH × (HP ÷ W)^(1/3), where W is race weight in pounds, HP is horsepower and the constants come from the chosen model: 6.269 and 230 for Fox, 6.290 and 224 for Huntington, 5.825 and 234 for Hale.
The cube roots are physics, not curve-fitting. If an engine delivered constant power P to the wheels from a standstill, then P = force × speed, and integrating gives speed³ = 3Px ÷ m after distance x, with time t = (1.5x)^(2/3) × (m ÷ 2P)^(1/3). Put in 1,320 ft, g = 32.174 ft/s² and 1 hp = 550 ft·lbf/s, and the ideal constants come out near 4.80 for ET and 281 for mph. Fox's 6.269 is about 31% slower than that ideal and his 230 about 18% lower, and the gap is everything a real car loses: a tire cannot transmit full power at zero speed, so the launch is traction-limited; gear changes interrupt the drive; the drivetrain absorbs some power; aerodynamic drag grows with the square of speed; and rolling resistance never lets go. Each constant pair folds those losses into a single number for a population of cars, which is why the race-prepared Hale set sits closer to the ideal. The formulas also take one horsepower number at face value, though a car only makes its peak power at one engine speed; an engine with a broad, flat power band delivers more of that peak across the run than a peaky one rated the same.
Two consequences follow. Because of the cube root, a 1% change in weight or power moves both estimates by only about a third of a percent; 10% less weight makes the car about 3.45% quicker. And within one model, ET × trap speed is the same for every car (1,441.87 for Fox), so the formula always predicts the two moving together. A real slip that breaks that link is telling you something about the launch.
A worked example.
Take a 3,200 lb car, driver and fuel included, with 400 hp, on the Fox street-car constants. Weight per horsepower is 3,200 ÷ 400 = 8 lb/hp, and the cube root of 8 is exactly 2, so the elapsed time is 6.269 × 2 = 12.538 seconds. For trap speed the ratio is turned upside down: 400 ÷ 3,200 = 0.125 hp per lb, whose cube root is 0.5, so the speed is 230 × 0.5 = 115 mph. Those two numbers describe a car still pulling hard at the stripe. Covering 1,320 ft in 12.538 s is an average of only 71.78 mph, yet the car crosses the line at 115 mph, about 1.6 times its average. The same ratio settles the old argument over whether to add power or lose weight. A 50 hp gain, to 450 hp, gives 7.111 lb/hp and an estimate of 12.055 s at 119.6 mph. Reaching that ratio with the original 400 hp would mean getting the car down to 2,844 lb, removing about 356 lb. On this car, every 7 lb or so of weight taken out is worth about 1 hp added. The models disagree more about speed than about time on this car. Huntington gives 12.58 s, within a few hundredths of Fox, but only 112 mph, 3 mph slower.
Frequently asked questions.
Why does the Hale model give a quicker ET than Fox for the same car?
Should I type in the advertised engine power or my dyno's wheel figure?
My slip shows a slower ET than predicted, but the trap speed matches. What does that mean?
Can I work backwards from a trap speed to my horsepower?
Does my reaction time count in the elapsed time?
How much quicker will 100 lb of weight loss make my car?
Can I use these formulas for an eighth-mile track?
Why does the car run slower on a hot day or at a high-altitude track?
Is trap speed the fastest the car went during the run?
What rules apply if I want to run the car at a drag strip?
References& sources.
- [1]Fox, G. T. (1973). On the Physics of Drag Racing. American Journal of Physics 41(3), 311-313; peer-reviewed analysis behind the named Fox relationship.
- [2]Omni Calculator. Quarter Mile Calculator; documents and compares Huntington 6.290/224, Fox 6.269/230, and Hale 5.825/234 equations and their empirical scope.
- [3]SAE International J1349_201804. Engine Power Test Code; authoritative context for standardized as-installed net engine power ratings.
- [4]FIA. 2026 Drag Racing Technical Regulations; current example of vehicle-, class-, weight-, equipment-, and safety-specific sanctioned rules.
- [5]NIST. SI Units — Length; exact U.S. customary-to-SI length relationships supporting 1,320 ft = 402.336 m.
How this page was produced
- Published by
- Quanta Calculator
- Overseen by
- Daniel, Quanta Calculator Researcher
- Primary sources
- 5 cited below
- Method
- ET = C_ET x (W / HP)^(1/3); MPH = C_MPH x (HP / W)^(1/3)
- Published
- Last verified
Built with AI assistance and verified by automated tests against the cited sources — every worked example on this page is computed by the same code that runs the calculator. How we build and check calculators.
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