Cooper Test Fitness Calculator Formula

Understand the math behind the cooper test fitness calculator. Each variable explained with a worked example.

Formulas Used

Estimated VO2max

vo2max = (distance_m - 504.9) / 44.73

Distance in Miles

distance_miles = distance_m / 1609.34

Average Pace

avg_pace_min_km = 12 / (distance_m / 1000)

Variables

VariableDescriptionDefault
distance_mDistance Covered in 12 Minutes(m)2400

How It Works

The Cooper 12-Minute Run Test

Developed by Dr. Kenneth Cooper in 1968, this test estimates VO2max from the distance covered during a 12-minute all-out run.

Cooper Equation

VO2max = (Distance in meters - 504.9) / 44.73

The test is simple and requires only a measured track and a stopwatch. It correlates at r = 0.90 with laboratory treadmill VO2max testing.

Worked Example

A runner covers 2,400 meters in 12 minutes.

distance_m = 2400
  1. 01VO2max = (2,400 - 504.9) / 44.73
  2. 02= 1,895.1 / 44.73
  3. 03= 42.4 mL/kg/min
  4. 04Distance in miles = 2,400 / 1,609.34 = 1.49 miles
  5. 05Average pace = 12 / 2.4 = 5.0 min/km

Ready to run the numbers?

Open Cooper Test Fitness Calculator