VO₂ Max (Cooper Test)
Estimates aerobic fitness from distance run in 12 minutes.
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Example
2800 m: VO₂ = (2800-504.9)/44.73 ≈ 51.3
How it works
This formula estimates a person’s VO max from how far they can run in 12 minutes on a Cooper test. It works because the test distance is strongly correlated with aerobic capacity: people who can sustain a faster pace for 12 minutes typically have a higher ability to deliver and use oxygen. The constants in the equation come from the original calibration of the test against measured VO max values, so it is an empirical estimate rather than a direct physiological measurement.
When to use it
Use this when you need a quick field estimate of cardiorespiratory fitness without laboratory equipment, such as in school PE, team fitness testing, or training screening. It is most appropriate for steady-effort running tests on a measured track or course.
Worked example, step by step
Distance covered in 12 minutes: d = 2400 m Substitute into the formula: VO_2 = (d - 504.9) / 44.73 VO_2 = (2400 - 504.9) / 44.73 VO_2 = 1895.1 / 44.73 VO_2 42.4 ml/kg/min Final answer: VO max 42.4 ml/kg/min
Common mistakes to avoid
- Using the formula for a time other than 12 minutes
- Entering distance in kilometres or miles instead of metres
- Treating the result as an exact lab measurement rather than an estimate
Did You Know?
Elite cross-country skiers record VO₂ max values above 90 — nearly double a healthy sedentary adult.
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