100m wind calculator
How the 100m wind conversion works
The 100m uses the correction published by physicist J. R. Mureika (Eq. 13 of his paper). It models how much of a sprinter's effort goes into overcoming air drag, and how wind and thinner air at altitude change that drag:
t is the official time, w the wind in m/s (tailwind positive) and H the altitude in metres. The paper says it applies below about 2,300 m. We checked our implementation against the corrected times in the paper's four tables: 37 of 43 match to the hundredth, five differ by 0.01 s, and one entry (a 10.78 at 1,380 m) looks like a misprint. With no wind, a 10.00 run at 1,000 m gains 0.03 s from altitude alone.
The 200m and sprint hurdles use the formulas from Moinat, Fabius and Emanuel (2018), fitted to 150,169 real results from sea-level meets. Those formulas reproduce the paper's headline figures: a +2.0 m/s tailwind is worth 0.140 s in the 200m and 0.146 s in the hurdles.
For the 100m the calculator also shows the Moinat result, which ignores altitude and gives slower athletes a bigger wind effect (the paper puts it 69% larger for a 13-second runner than for a 10-second one).
Worked examples
Maurice Greene's 9.79 world record (+0.1 m/s, Athens, about 110 m altitude) corrects to 9.80. Obadele Thompson's wind-aided 9.69 (+5.7 m/s, El Paso, about 1,300 m) corrects to 9.91. Both match the values in Mureika's tables.
At sea level, Mureika's model makes a +2.0 m/s tailwind worth 0.10 s to a 10.00 run. The table shows what a 10.00 and an 11.00 would be with no wind, by wind reading:
| Wind (m/s) | 10.00 run | 11.00 run | 11.00 run (Moinat) |
|---|---|---|---|
| -2.0 | 9.88 | 10.85 | 10.86 |
| -1.0 | 9.94 | 10.93 | 10.94 |
| +1.0 | 10.05 | 11.06 | 11.05 |
| +2.0 | 10.10 | 11.12 | 11.10 |
| +3.0 | 10.14 | 11.16 | 11.14 |
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Sources
- J. R. Mureika, “Back-of-the-envelope” wind and altitude correction for 100 metre sprint times, arXiv:physics/0006057 (2000), Eq. 13
- J. R. Mureika, The legality of wind and altitude assisted performances in the sprints, arXiv:physics/0102039 (2001)
- M. Moinat, O. Fabius & K. S. Emanuel, Data-driven quantification of the effect of wind on athletics performance, European Journal of Sport Science 18(9):1185–1190 (2018)
- Canadian Running, “Effect of wind on track performance: new formulas suggested” (reports the Moinat et al. correction formulas)
- World Athletics, Book C – Competition Rules & Technical Rules (TR 17 wind measurement, TR 19 timing, TR 39 / 53 combined events)