Assuming I have calculated my vdot, what is the formula for target race time? I don't want a link for the website, I need the actual equation
Assuming I have calculated my vdot, what is the formula for target race time? I don't want a link for the website, I need the actual equation
The equation is more cumbersome.
The equation is more cumbersome.
“Based on the formulas used to calculate Jack’s world-famous VDOT tables in Daniels’ Running Formula—and previously unreleased formulas to factor in wind, temperature and altitude—the calculator offers runners and coaches an amazing app to fine tune and adapt their training based on weather or altitude conditions.”
Here you go:
This spreadsheet might be what you’re looking for.
The thread below links to a Microsoft Excel worksheet that implements a lot of the Daniels Running Formula tables. While I've used the worksheet, I haven't "looked under the covers" to see how the "formula" is implemented.
Calculating race times from VDOT requires derivatives and Newton's Method to calculate if I remember correctly. There is not a simple equation to do what you are asking.
A=((0.000104*(DIST/TIME)^2+0.182258*(DIST/TIME)-4.6)/(0.2989558*EXP(-0.1932605*TIME)+0.1894393*EXP(-0.012778*TIME)+0.8)-VDOT)
B=(((0.2989558*EXP(-0.1932605*TIME)+0.1894393*EXP(-0.012778*TIME)+0.8)*(-0.000208*DIST^2*TIME^-3-0.182258*DIST*TIME^-2))-(0.000104*DIST^2*TIME^-2+0.182258*DIST*TIME^-1-4.6)*(-0.0577763473859*EXP(-0.1932605*TIME)-0.0024206553754*EXP(-0.0122778*TIME)))/((0.2989558*EXP(-0.1932605*TIME)+0.1894393*EXP(-0.012778*TIME)+0.8)^2)
Choose a TIME value to start with and then Calculate the following
TIME - (A/B)
Take the answer you get and make it your new TIME and do it again until the value you get is as close to the previous TIME value as you would like.
Note EXP() means e^(). I stole my formula from my excel sheet to post here.
Extra Note: DIST is the distance you want the race time for
ie: 1609.344 for a mile or 42195 for a marathon
I don’t know much about how the actual math works in VDOT, but I can say that it doesn’t work well when the distance you put in is too far away from the goal time. For example, I’ve run 4:10 in the mile. If I put that in to VDOT, it predicts a 2:17 marathon. I cannot run a 2:17 marathon as I’m more of a speed type runner,(1:52 800 speed) but VDOT doesn’t take that into account. If you are using VDOT to predict an event performance, you want the predictor event to be at least 50 percent of the distance you are trying to run. When the values are too far away the chart gets skewed.