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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

Estimated VO₂ max
42.4 ml/kg/min

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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

V˙O2max⁡=d−504.944.73V˙O2max⁡=15.3×HRmax⁡HRrest\dot{V}O_{2\max} = \frac{d - 504.9}{44.73} \qquad \dot{V}O_{2\max} = 15.3 \times \frac{HR_{\max}}{HR_{\text{rest}}}

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

What each field test needs
TestYou doPublished by
Cooper 12-minute runRun as far as possible in 12 minutesCooper, JAMA 1968
Rockport one-mile walkWalk 1 mile fast; note time and finishing heart rateKline et al., 1987
Heart rate ratioMeasure resting heart rate (and maximum, if known)Uth et al., 2004
Source: Cooper 1968; Kline et al., Med Sci Sports Exerc 1987; Uth et al., Eur J Appl Physiol 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.