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FitMetricLab

Running

19 calculators

Running calculators covering pace and speed, race prediction, training paces, field tests of aerobic fitness, and the adjustments that make a time on one course comparable to a time on another.

Pace is the base unit that most of the rest builds on: time divided by distance, converted between min/km and min/mile through the exact factor 1.609344.

Prediction, VDOT and training paces

Race prediction from a known time rests on Riegel's formula, which scales time with distance raised to the power 1.06. The exponent encodes the observation that pace slows as distance grows; at exactly 1.0 the formula would assume a runner holds the same pace indefinitely.

VDOT takes a different route, converting a race performance into an estimate of effective aerobic capacity and then reading training paces off that single figure. The value of the approach is internal consistency: easy, marathon, threshold, interval and repetition paces all derive from one number rather than from separate rules of thumb.

Both approaches assume appropriate training for the target distance. A runner with a fast 5 km and no long runs will not hit the marathon time Riegel projects, because the formula extrapolates from physiology the training has not built.

Field tests and course adjustments

The Cooper 12-minute test, the Rockport walk test and the multi-stage beep test all estimate aerobic capacity from a field protocol rather than a laboratory gas-exchange measurement. Each uses its own regression equation, and each carries the error of the equation plus the pacing accuracy of the person doing the test.

Elevation and heat adjustments answer a different question: what a time on one course is worth against another. Elevation-adjusted pace applies a cost per metre of vertical gain, and heat adjustment applies a slowdown that grows with temperature and humidity. Naismith's rule, elsewhere on the site, does the equivalent for walking terrain.

Cadence and stride length close the loop between the two ways of describing the same movement: speed is cadence multiplied by stride length, so any two of the three fix the third.

Common questions

How do you calculate running pace?

Divide total time by total distance in matching units, converting the time to decimal minutes first. A 10 km run in 52 minutes 30 seconds becomes 52.5 ÷ 10 = 5.25 minutes per kilometre, and the 0.25 converts back to 15 seconds, giving 5:15 min/km. Multiplying by 1.609344 gives 8:27 min/mile. The commonest error is reading a clock-format 5:15 as the decimal 5.15, which is ten seconds per kilometre away.

How accurate are marathon time predictors?

Riegel's formula extrapolates from one race time using a fixed exponent of 1.06, and it is generally closer over a short extrapolation than a long one. Predicting a half marathon from a 10 km tends to hold up better than predicting a marathon from a 5 km, where the gap between the physiology tested and the physiology required is largest. The prediction also assumes training appropriate to the target distance, which the formula has no way to see.

What is VDOT?

VDOT is a single number derived from a race performance that represents effective aerobic capacity, accounting for both oxygen uptake and running economy. Its practical use is that every training pace — easy, marathon, threshold, interval, repetition — is read off that one figure, so the paces stay consistent with each other. Updating it after a race updates the whole set at once.

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