Analytic Cycling Logo Final Sprint

Final Sprint

Our riders jump for the final sprint with 250 meters to go. Our Standard Rider is on 32 spoke standard wheels. Our Test Rider is on Specialized tri-spokes. Both riders jump at the same time with the same initial speed. Both riders have the same power profile (see plot below). They are identical in all other respects. Which one gets to the finish line first?

The Specialized rider would be ahead by 1 meter or 0.08 seconds.

Enter data for cases of interest to you.Final Sprint Speed Plot

The magnitudes change, but the shape of a sprint power curve is about the same for most riders. Power as a function of time, same for both riders:

Data Parameters
Parameter Standard Rider Test Rider  
Frontal Area 0.5 0.5 m2
Coefficient Wind Drag 0.5 0.5 dimensionless
Air Density 1.226 1.226 kg/m3
Weight Rider 65.0 65.0 kg
Weight Bike 8.0 8.0 kg
Front Wheel      
Weight 1.264 1.346 kg
Ic 0.0885 0.0904 kg m/s2
Cx0 0.0491 0.0379 Dimensionless
Radius 0.337 0.337 m
Rear Wheel      
Weight 1.804 1.771 kg
Ic 0.0967 0.1032 kg m/s2
Cx0 0.0491 0.0379 Dimensionless
Radius 0.337 0.337 m
Rear Shelter 25.00 25.00 %
Power      
Max Power 750. 750. w
Ave Power 400. 400. w
Time at Max Power 3.7 3.7 s
Period 25. 25. s
Coefficient of Rolling 0.004 0.004 dimensionless
Grade 0.00 0.00 decimal
Initial Speed 10.0 10.0 m/s

© 1998 Tom Compton