What this calculator does
Get an estimate of your aerobic fitness (VO2 max) from a timed run or your heart rate. VO2 max is the most oxygen your body can take in and use during hard exercise. It's usually given in milliliters of oxygen per kilogram of body weight per minute (mL/kg/min). It's one of the most common measures of aerobic fitness, meaning how well your heart and lungs keep you going. Measuring it directly needs a lab treadmill test that analyzes your breath. So people often estimate it with field tests and formulas instead.
This calculator offers three well-known estimates. They are the Cooper 12-minute run, a 1.5-mile timed run, and the heart-rate ratio method of Uth and colleagues. Each gives a different kind of estimate with its own error. So treat the result as approximate, not as medical advice. The two run tests are all-out efforts. Get medical clearance before trying them if you're new to hard exercise or have any health concerns.
Where it's used
Why this math matters outside the classroom:
- Cooper test. Running 2,400 m in 12 minutes gives (2,400 − 504.9) ÷ 44.73, which is about 42.4 mL/kg/min.
- 1.5-mile run. Finishing 1.5 miles in 12 minutes gives 483 ÷ 12 + 3.5, which is 43.75 mL/kg/min.
- Heart-rate ratio. With a maximum of 190 bpm and a resting rate of 60, 15.3 × 190 ÷ 60 gives an estimate of about 48.5.
- Converting to METs. Dividing a VO2 max of 42 by 3.5 expresses it as 12 METs, the unit used in activity tables.
- Fitness testing. PE classes and sports teams run a timed field test each term and compare the estimates across the year.
Grade level and standards: Grades 6–7; Common Core State Standards for Mathematics 6.EE.A.2.c. © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.
How to use it
- Choose a method: the Cooper 12-minute run, the 1.5-mile run, or the heart-rate ratio.
- For the Cooper test, enter the distance you covered in 12 minutes in meters, kilometers or miles.
- For the 1.5-mile run, enter your finish time. For the heart-rate ratio, enter your maximum and resting heart rates.
- Read the estimated VO2 max and the same value in METs.
What the inputs mean
- Distance covered in 12 minutes
- Run as far as you can in exactly 12 minutes, ideally on a measured track. A 400 m track lap is 400 m in lane 1.
- Maximum heart rate
- A measured maximum gives a better estimate. If you use 220 − age instead, the result carries that formula's uncertainty too.
- Resting heart rate
- Measure it when you wake up, before getting up, over a full minute.
- 1.5-mile time: minutes
- Your time for 1.5 miles (2,414 m, about six laps of a 400 m track), run as fast as you can keep up.
Formula and method
Cooper: VO2 max = (distance in meters − 504.9) ÷ 44.73 1.5-mile: VO2 max = 483 ÷ time in minutes + 3.5 Uth ratio: VO2 max = 15.3 × HRmax ÷ HRrest METs = VO2 max ÷ 3.5
HRmax is your maximum heart rate and HRrest is your resting heart rate, both in beats per minute. A MET is a unit of energy use, where 1 MET is what your body uses sitting at rest.
The Cooper equation is a straight line fitted to how 12-minute run distance relates to lab-measured VO2 max. It gives a positive value only for distances above 504.9 m.
The 1.5-mile formula is a common estimate where faster times give higher values. Seconds are turned into fractions of a minute before dividing.
The heart-rate ratio method needs no exercise test. It was developed in trained men, so it's the roughest of the three for other groups.
One MET is usually set at 3.5 mL/kg/min. So dividing by 3.5 shows your aerobic capacity as a multiple of the energy you use at rest.
Worked example
A runner covers 2,400 m in the Cooper 12-minute test.
- Subtract 504.9 from the distance: 2,400 − 504.9 = 1,895.1.
- Divide by 44.73: 1,895.1 ÷ 44.73 = 42.37 mL/kg/min.
- In METs: 42.37 ÷ 3.5 = 12.11 MET.
Result: The estimated VO2 max is about 42.4 mL/kg/min, or about 12.1 METs.
Understanding the result
Higher values mean greater aerobic capacity. VO2 max generally declines with age and is lower on average in women than in men. So comparing with your own earlier results tells you the most.
Repeating the same test in similar conditions every few months is a good way to track progress. A change of a few units is within the normal error of field tests.
Different methods can give noticeably different answers for the same person. Pick one and stick with it when tracking change.
Assumptions and limitations
- Run tests are all-out efforts on flat ground in mild weather.
- Distances in miles are converted exactly (1 mile = 1,609.344 m).
- 1 MET = 3.5 mL/kg/min.
- Field estimates commonly differ from lab measurements by several mL/kg/min.
- Pacing skill, running efficiency, motivation, weather and surface all affect run-test results.
- The heart-rate ratio method was worked out in a small group of trained men.
- This calculator doesn't rate fitness against age norms and is not a medical assessment.
Frequently asked questions
What is a good VO2 max?
It depends strongly on age and sex, so there's no single good number. Track your own value over time. A sports scientist or physician can compare a lab result with norms for your age group.
Which method is most accurate?
The run tests usually match lab values better than the heart-rate ratio. That holds as long as you pace the run well and give a full effort. The ratio method is handy but rough.
Can I improve my VO2 max?
Yes. Regular endurance training typically raises it, especially if it includes some harder intervals. The gains are often biggest in people starting from a lower fitness level.
Why does my watch show a different VO2 max?
Watches use their own models, usually based on heart rate and running speed. Like these formulas, they're estimates, and different models won't agree exactly.
How this calculator is checked
Method: Cooper 12-minute run regression, (d − 504.9) ÷ 44.73; commonly used 1.5-mile run estimate, 483 ÷ t + 3.5; Uth et al. heart-rate ratio, 15.3 × HRmax ÷ HRrest; 1 MET = 3.5 mL/kg/min. The calculation is covered by automated tests with known reference values and edge cases. Last updated 2026-10-18. Found a problem? Tell us.
Embed this calculator
Put this VO2 Max Calculator on your own website or blog for free. Paste this code where you want it to appear: