Reference and target
Seconds, m:ss or h:mm:ss (1200 = 20:00). Decimal seconds are allowed; blank or malformed input clears the answer.
For a longer target, a higher exponent means more slowing; for a shorter target, it gives a faster estimate. These settings describe the curve, not athlete types. The slider uses the same value as the numeric field.
Examples change the reference while keeping your selected exponent and target.
10K comparison
10,000 m · m:ss.s.
Illustrative reference: 20:00 for 5,000 m · exponent 1.06.
Pace per mile6:43
Pace per km4:10
Compare with measured races and preparation.
All distance scenarios
| Distance | Finish clock | Pace / mile | Pace / km |
|---|---|---|---|
| 800m | Finish clock2:52.0 | Pace / mile5:46 | Pace / km3:35 |
| 1500m | Finish clock5:34.9 | Pace / mile5:59 | Pace / km3:43 |
| Mile | Finish clock6:00.8 | Pace / mile6:01 | Pace / km3:44 |
| 1600m | Finish clock5:58.6 | Pace / mile6:01 | Pace / km3:44 |
| 3000m | Finish clock11:38.3 | Pace / mile6:15 | Pace / km3:53 |
| 3200m | Finish clock12:27.7 | Pace / mile6:16 | Pace / km3:54 |
| 2 Mile | Finish clock12:32.3 | Pace / mile6:16 | Pace / km3:54 |
| 5KReference | Finish clock20:00.0 | Pace / mile6:26 | Pace / km4:00 |
| 6K | Finish clock24:15.8 | Pace / mile6:30 | Pace / km4:03 |
| 8K | Finish clock32:54.9 | Pace / mile6:37 | Pace / km4:07 |
| 10KSelected | Finish clock41:41.9 | Pace / mile6:43 | Pace / km4:10 |
| Half Marathon | Finish clock1:32:00 | Pace / mile7:01 | Pace / km4:22 |
| Marathon | Finish clock3:11:49 | Pace / mile7:19 | Pace / km4:33 |
Read the exponent
T₂ = T₁ × (D₂ ÷ D₁)ᵇ. Times use the same unit; both distances use meters. Existing default b = 1.06; the adjustable range remains 1.02–1.12. The original Riegel (1981) article describes record-based power-law fits with group-dependent exponents. The presets here describe modeled slowing as distance increases.
Clock display rounds total time before splitting it: tenths below an hour, whole seconds at an hour or more. Paces round to whole seconds. That presentation does not change the unrounded power-law result.
Selected unrounded calculation shown to 10 significant digits: 2501.917826 s.
The original running fits cover 1.5–42.2 km; the retained 800m row and custom distances outside that range are extrapolations. Preparation, terrain, weather and pacing are not inputs here. Larger distance gaps add uncertainty; this comparison is not a qualifying mark or a prescribed race plan.