VO₂ Max Calculator (Cooper Run, Rockport Walk or Resting Heart Rate)
Estimate VO₂ max from a Cooper 12-minute run, a Rockport one-mile walk or your resting heart rate, with each published formula and the working shown.
Inputs
- 12-min run distance
- 2,400 m
- Working
- (2,400 − 504.9) ÷ 44.73 = 42.4
- Method
- Cooper 12-minute run (1968)
- Fitness band (rough guide)
- Good
- In METs (÷ 3.5)
- 12.1
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What each VO₂ Max input means
- Method
- Cooper if you can run hard for 12 minutes; Rockport if walking is the safer test; resting heart rate for a no-exercise estimate that is the least precise of the three.
- Distance in 12 min
- Cooper only: how far you covered in exactly 12 minutes, ideally on a 400 m track where laps are easy to count.
- Time to walk 1 mile
- Rockport only: time to walk one mile as fast as you can without running, in minutes with a decimal — 16 minutes 30 seconds is 16.5.
- Heart rate at the finish
- Rockport only: your heart rate the moment you finish, from a chest strap or a 15-second pulse count × 4.
- Resting heart rate
- Resting method: taken lying still just after waking, ideally averaged over a few mornings.
- Max heart rate, if measured (0 = estimate)
- Resting method: a maximum measured in a hard test or race. Leave at 0 and the page estimates it from age.
VO₂ Max formula
Cooper: (metres in 12 min − 504.9) ÷ 44.73 · Rockport: 132.853 − 0.0769 × lb − 0.3877 × age + 6.315 (men) − 3.2649 × minutes − 0.1565 × finishing HR · Resting HR: 15.3 × HRmax ÷ HRrest
VO₂ max is the most oxygen your body can use per minute during all-out exercise, per kilogram of body weight. Measuring it takes a lab treadmill and a mask, so field tests estimate it, and the page offers three. Kenneth Cooper's 12-minute run (JAMA, 1968) came from 115 US Air Force men: run as far as you can in 12 minutes, and VO₂ max is the distance in metres minus 504.9, divided by 44.73. The Rockport one-mile walk (Kline and colleagues, 1987) is for people who cannot or should not run: walk a mile as fast as you can and record the time and your heart rate at the finish; the equation also uses weight, age and sex. The heart rate ratio method (Uth and colleagues, 2004) needs no exercise at all: 15.3 times your maximum heart rate divided by your resting rate. If you don't have a measured maximum, the page estimates it with Tanaka's 208 − 0.7 × age, the same formula as the heart-rate-zones page. Each method shows its working, and the result is also given in METs (VO₂ ÷ 3.5).
VO₂ Max worked example
Running 2,400 metres in 12 minutes: (2,400 − 504.9) ÷ 44.73 = 42.4 ml/kg/min, or about 12 METs. That is a good result for most adults; well-trained endurance athletes reach the high 50s and beyond on the same test.
More VO₂ Max examples
A 45-year-old woman weighing 150 lb walks a mile in 16 minutes 30 seconds and finishes at 125 bpm: 132.853 − 11.535 − 17.447 − 53.871 − 19.563 = 30.4 ml/kg/min.
A 40-year-old with a resting heart rate of 58 and no measured maximum: Tanaka gives 208 − 28 = 180 bpm, and 15.3 × 180 ÷ 58 = 47.5 ml/kg/min — a rough figure, since both heart rates carry error.
Where the VO₂ Max calculator can give the wrong answer
- All three are estimates. Uth's paper reported a standard error of about 2.7 ml/kg/min in its sample of trained men, and the Rockport walk about ±5 ml/kg/min; a lab test is the only measurement.
- Cooper's test rewards pacing as much as fitness. A first attempt that starts too fast and fades underestimates VO₂ max; a second attempt usually comes out higher.
- The heart rate ratio method was built on well-trained men. In less fit people, and with an age-estimated maximum, the error grows — a 10 bpm error in the maximum moves the result by several points.
- Beta-blockers and other medicines that slow the heart make both heart-rate methods unreliable. A hard 12-minute run is not a safe test for everyone; check with a doctor if you have heart symptoms.
- The fitness bands on the page are a rough guide that ignores age and sex. Published norms fall with age, so the same number is 'fair' at 25 and 'excellent' at 65.
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VO₂ Max reference table
| Test | You do | Published by |
|---|---|---|
| Cooper 12-minute run | Run as far as possible in 12 minutes | Cooper, JAMA 1968 |
| Rockport one-mile walk | Walk 1 mile fast; note time and finishing heart rate | Kline et al., 1987 |
| Heart rate ratio | Measure resting heart rate (and maximum, if known) | Uth et al., 2004 |
VO₂ Max FAQ
- Run as far as you can in 12 minutes and use Cooper's formula: (metres − 504.9) ÷ 44.73. 2,800 m gives 51.3. If running isn't possible, walk a mile fast and use the Rockport equation, or enter your resting heart rate for a rougher estimate.
- It depends on age and sex. As a rough guide for adults under 40, above 40 ml/kg/min is good for men and above 35 for women; trained endurance athletes reach 60–80. Comparing your own retests over time tells you more than any table.
- The one you can do properly. Cooper is the most direct if you can run hard for 12 minutes; Rockport suits walkers and beginners; the resting heart rate method is quickest but the least precise, especially with an estimated maximum heart rate.
- Watches estimate it from pace and heart rate during runs, using their makers' own models, and are often within a few points of lab values in studies, but can be further off for some people. A watch figure and these field tests are all estimates; use one method consistently.
- Yes. Regular endurance training, especially intervals near maximum effort, raises it in most people within weeks to months. Retest with the same method in the same conditions to see the change.
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