Minutes per km
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Minutes per km
Anyone out there know a formula which works out running speed in minutes/km but also takes into account height gain?
- Peter B
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climb times ten
Looked at this years ago when I was a student as a data fitting project.
My results from UK terrain gave a formula -
[ Distance + (height gained)*10 ]/ running speed = time taken - errors made.
A caveat was that the hillier forests tended also to be rougher, and certainly for road running 10 is too big. But I think other people have independently come up with the factor of 10 to account for climb in terrain.
Graeme
My results from UK terrain gave a formula -
[ Distance + (height gained)*10 ]/ running speed = time taken - errors made.
A caveat was that the hillier forests tended also to be rougher, and certainly for road running 10 is too big. But I think other people have independently come up with the factor of 10 to account for climb in terrain.
Graeme
WOC2024 Edinburgh
Test races at SprintScotland (Alloa/Falkirk) and Euromeeting (near Stirling).
Test races at SprintScotland (Alloa/Falkirk) and Euromeeting (near Stirling).
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graeme - god
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I remember reading some research (American I think) into height gain as falt equivalent, and came up with a factor of 7, i.e. 10m height gain = 70m flat.
Some while ago, and haven't been able to find reference, but am sure would come up in sport database trawl.
But need to note that all these formulae tend to ignore the effect of descending on running speed, and obviously there's also the issue of differences in gradient and where the climb comes in a race etc.
Some while ago, and haven't been able to find reference, but am sure would come up in sport database trawl.
But need to note that all these formulae tend to ignore the effect of descending on running speed, and obviously there's also the issue of differences in gradient and where the climb comes in a race etc.
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awk - god
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Re: climb times ten
Graeme wrote:Looked at this years ago when I was a student as a data fitting project.
My results from UK terrain gave a formula -
[ Distance + (height gained)*10 ]/ running speed = time taken - errors made.
A caveat was that the hillier forests tended also to be rougher, and certainly for road running 10 is too big. But I think other people have independently come up with the factor of 10 to account for climb in terrain.
Graeme
In the dim & distant past, Roger Thetford and I reached the same conclusion based on about 100 races that we had both done. There was also a factor of 30 seconds per control; nowadays with e-punching this seems to be more like 10 or 15 seconds.
This is only true for slopes of "reasonable" steepness. Very steep uphills slow you down more than gradual climbs with the same height gain; Eric Langmuir's version of Naismith's rule takes this effect into account:
Naismith's Rule: 5 km/h plus 1 hour per 600m ascent; minus 10 minutes per 300 m descent for slopes between 5 and 12 degrees; plus 10 minutes per 300m descent for slopes greater than 12 degrees.
This gives a factor of 8.33 for climb, but this is for hillwalking, i.e. mostly on tracks. I assume that off-piste climb is more difficult.
Roger T avoids unreasonably steep descents on the basis that they slow him down disproportionately.
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jac - white
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