VO₂max ↔ vVO₂max (MAS) Converter
VO₂max and vVO₂max (velocity at VO₂max, also known as MAS — Maximal Aerobic Speed) are two key indicators of running performance. They are linked by a simple formula, but the coefficient varies depending on your running economy. This calculator lets you convert between them accurately, taking your profile into account.
VO₂max ↔ vVO₂max Calculator
To compare with ACSM norms
To compare with ACSM norms
The VO₂max – vVO₂max Relationship
Fundamental formula
VO₂max (ml/min/kg) = vVO₂max (km/h) × Coefficient
i.e.: vVO₂max = VO₂max ÷ Coefficient
The running economy coefficient reflects the amount of oxygen required to run 1 km. It varies depending on technique, biomechanics, shoes, and training level.
Efficient runner
Efficient technique, optimised stride, carbon shoes
Average runner
Standard value used in most formulas
Costly runner
Less biomechanical efficiency, beginner or overweight
💡 Concrete example: a runner with a VO₂max of 50 ml/min/kg will have a vVO₂max of 16.7 km/h (10.4 mph) if very efficient (÷ 3.0), 14.3 km/h (8.9 mph) on average (÷ 3.5), or 12.5 km/h (7.8 mph) if costly (÷ 4.0). The difference is considerable!
VO₂max → vVO₂max Conversion Table
Conversion table for 3 running economy profiles. The middle column (coefficient 3.5) is the standard value.
| VO₂max (ml/min/kg) |
vVO₂max Efficient (coeff. 3.0) |
vVO₂max Average (coeff. 3.5) |
vVO₂max Costly (coeff. 4.0) |
|---|---|---|---|
| Loading… | |||
📈 Visualisation: VO₂max vs vVO₂max by profile
VO₂max → vVO₂max conversion table (static)
| VO₂max (ml/min/kg) | vVO₂max Efficient (÷3.0) | vVO₂max Average (÷3.5) | vVO₂max Costly (÷4.0) |
|---|---|---|---|
| 30 | 10.0 km/h | 8.6 km/h | 7.5 km/h |
| 35 | 11.7 km/h | 10.0 km/h | 8.8 km/h |
| 40 | 13.3 km/h | 11.4 km/h | 10.0 km/h |
| 45 | 15.0 km/h | 12.9 km/h | 11.3 km/h |
| 50 | 16.7 km/h | 14.3 km/h | 12.5 km/h |
| 55 | 18.3 km/h | 15.7 km/h | 13.8 km/h |
| 60 | 20.0 km/h | 17.1 km/h | 15.0 km/h |
| 65 | 21.7 km/h | 18.6 km/h | 16.3 km/h |
| 70 | 23.3 km/h | 20.0 km/h | 17.5 km/h |
Formula: vVO₂max = VO₂max ÷ coefficient. The coefficient ranges from 3.0 (efficient runner) to 4.0 (costly), 3.5 being the average.
Understanding Running Economy
What makes an "efficient" runner?
Running economy (RE) measures oxygen consumption to run at a given speed. Two runners with the same VO₂max can have very different vVO₂max values if one is more efficient than the other.
📌 Factors that improve running economy:
• Running technique – midfoot strike, high cadence (~180 steps/min)
• Carbon plate shoes – average 4% economy gain
• Hill training – strengthens propulsion muscles
• Strength training – core, plyometrics
• Training experience – economy improves over the years
Concrete impact on performance
Take a runner with a VO₂max of 55 ml/min/kg:
| Profile | Coefficient | vVO₂max | Estimated 10K time |
|---|---|---|---|
| 🟢 Efficient | 3.0 | 18.3 km/h (11.4 mph) | ~36 min |
| 🔵 Average | 3.5 | 15.7 km/h (9.8 mph) | ~42 min |
| 🔴 Costly | 4.0 | 13.8 km/h (8.6 mph) | ~49 min |
That's a 13-minute gap over 10K with the same VO₂max. Running economy is a major performance lever.
ACSM: The Scientific Reference for VO₂max
The ACSM (American College of Sports Medicine) is the world's largest sports medicine and exercise science organisation, founded in 1954. Its publications, notably the ACSM's Guidelines for Exercise Testing and Prescription (11th edition, 2021), define the standards used in laboratories, universities and rehabilitation centres worldwide.
📌 Why the ACSM is essential for VO₂max:
• Defines standardised testing protocols (treadmill, cycle ergometer) for measuring VO₂max in the lab
• Publishes reference norms by age and sex to classify individuals (poor → excellent)
• Provides validated metabolic equations for estimating oxygen consumption at different intensities
• Establishes physical activity recommendations based on VO₂max and heart rate thresholds
The ACSM Metabolic Equation for Running
The ACSM provides a prediction equation for oxygen consumption during running:
VO₂ (ml/kg/min) = 0.2 × speed + 0.9 × speed × grade + 3.5
Where speed is in m/min and grade is a decimal fraction (e.g. 5% = 0.05). The 3.5 ml/kg/min term represents resting metabolism (1 MET).
This equation estimates VO₂ at any running pace. Practical example:
| Pace | Speed (m/min) | Estimated VO₂ (ml/kg/min) | % VO₂max (if VO₂max = 50) |
|---|---|---|---|
| 9:40/mi (6:00/km) | 167 | 36.9 | 74% |
| 8:03/mi (5:00/km) | 200 | 43.5 | 87% |
| 7:15/mi (4:30/km) | 222 | 47.9 | 96% |
| 6:26/mi (4:00/km) | 250 | 53.5 | 107% (beyond) |
This table shows why a runner with a VO₂max of 50 ml/min/kg cannot sustain a 6:26/mi (4:00/km) pace for long: it exceeds their maximum aerobic capacity.
The age and sex norms below are based on research from the Cooper Institute, adopted by Garmin, and compatible with ACSM classifications.
VO₂max Norms by Age and Sex (Cooper Institute / Garmin)
The Cooper Institute and Garmin publish reference norms to assess your VO₂max. Values are in ml/min/kg and depend on age and sex.
Men
| Age range | Poor | Average | Good | Very Good | Excellent |
|---|---|---|---|---|---|
| 20 – 29 yrs | < 40 | 40 – 45 | 45 – 50 | 50 – 55 | > 55 |
| 30 – 39 yrs | < 37 | 37 – 42 | 42 – 47 | 47 – 52 | > 52 |
| 40 – 49 yrs | < 35 | 35 – 40 | 40 – 45 | 45 – 50 | > 50 |
| 50 – 59 yrs | < 33 | 33 – 37 | 37 – 42 | 42 – 46 | > 46 |
| 60+ yrs | < 27 | 27 – 31 | 31 – 36 | 36 – 41 | > 41 |
Women
| Age range | Poor | Average | Good | Very Good | Excellent |
|---|---|---|---|---|---|
| 20 – 29 yrs | < 35 | 35 – 39 | 39 – 44 | 44 – 50 | > 50 |
| 30 – 39 yrs | < 32 | 32 – 36 | 36 – 41 | 41 – 46 | > 46 |
| 40 – 49 yrs | < 30 | 30 – 34 | 34 – 39 | 39 – 44 | > 44 |
| 50 – 59 yrs | < 28 | 28 – 31 | 31 – 36 | 36 – 41 | > 41 |
| 60+ yrs | < 23 | 23 – 27 | 27 – 32 | 32 – 36 | > 36 |
Frequently Asked Questions
Frequently asked questions about the VO₂max ↔ vVO₂max conversion
What is the difference between VO₂max and vVO₂max (MAS)?
VO₂max measures the maximum oxygen uptake capacity (in ml/min/kg), a physiological measure. vVO₂max (velocity at VO₂max), also called MAS (Maximal Aerobic Speed), is the corresponding running speed (in km/h or mph). VO₂max is independent of running economy, while vVO₂max depends directly on it. Estimate your VO₂max or calculate your vVO₂max (MAS) with our dedicated tools.
Why isn't the coefficient always 3.5?
The coefficient 3.5 is a statistical average. In reality, it varies between 3.0 and 4.0 depending on biomechanics, running technique, weight, shoes (carbon plates offer ~4% gain) and training level. An elite Kenyan runner may have a coefficient close to 2.8, while a beginner can reach 4.2.
How do I know my personal coefficient?
You need to know both your VO₂max (measured in a lab or estimated via a test) and your vVO₂max (field test: Beep Test, VAMEVAL, half-Cooper). The coefficient = VO₂max ÷ vVO₂max. If you have a VO₂max of 52 and a vVO₂max of 16 km/h (9.9 mph), your coefficient is 52 ÷ 16 = 3.25.
Does VO₂max decrease with age?
Yes, VO₂max decreases by about 1% per year after 25 in sedentary people, and about 0.5% per year in trained athletes. Regular endurance and interval training significantly limits this decline. The ACSM norms above account for this evolution.
Can you improve your VO₂max?
Absolutely! High-intensity interval training (30/30, 1000m repeats, sessions at 95-100% vVO₂max) is the most effective. You can gain 5 to 15% VO₂max in a few months. Altitude training and weight loss (if overweight) are also improvement factors. Monitor your max heart rate to calibrate your training zones.
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