model of the 2003 tour de france coming soon to ajp n.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
Model of the 2003 Tour de France ( coming soon to AJP! ) PowerPoint Presentation
Download Presentation
Model of the 2003 Tour de France ( coming soon to AJP! )

Loading in 2 Seconds...

play fullscreen
1 / 14

Model of the 2003 Tour de France ( coming soon to AJP! ) - PowerPoint PPT Presentation


  • 87 Views
  • Uploaded on

Model of the 2003 Tour de France ( coming soon to AJP! ). Benjamin Lee Hannas * and John Eric Goff Lynchburg College , Lynchburg VA 24501 * Now at N.C. State University (applied mathematics graduate student). Project beginnings …. Computational Physics Course (Spring 2003)

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'Model of the 2003 Tour de France ( coming soon to AJP! )' - gertrude


Download Now An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
model of the 2003 tour de france coming soon to ajp

Model of the 2003 Tour de France( coming soon to AJP! )

Benjamin Lee Hannas* and John Eric Goff

Lynchburg College, Lynchburg VA 24501

*Now at N.C. State University (applied mathematics graduate student)

project beginnings
Project beginnings …
  • Computational Physics Course (Spring 2003)
  • Course textbook – Giordano (some elementary discussions of modeling bicycle motion)
student project
Student project …
  • Ben Hannas modeled two stages of 2001 Tour de France for course project
  • Used profile data found on internet
  • Good results!! (~10%)
  • Goal: SIMPLE MODEL
profile data
Profile data …

Stage 15 of 2003 Tour de France

(www.letour.fr)

incline plane model
Incline-plane model …

Stage 15 of 2003 Tour de France

forces
Forces …
  • Two resistive forces make
  • Air drag:
  • Rolling friction:
rider s power input
Rider’s power input …
  • Power on steep downhills (~4%): Pb = 200W
  • Power on steep uphills (only ONE!): Pb = 500W
  • Power for everything else (~96%): Pb = 375W
other parameters
Other parameters …
  • bicycle + rider mass: m = 77 kg
  • air density: r = 1.2 kg/m3
  • drag coefficient and cross-sectional area: CDA = 0.25 m2 (downhill) and CDA = 0.35 m2 (uphill)
  • coefficient of rolling friction: mr = 0.003
velocity profile for stage 15
Velocity profile for stage 15 …

Use only terminal speeds as a check!

model sensitivity
Model sensitivity …
  • Model most sensitive to power
  • Increase Pb by 5% ~5% faster
  • Decrease Pb by 5% ~13% slower

Biker suffers on steep climbs!

  • Model not very sensitive to 200W for steep downhills
model improvements
Model improvements …
  • Rider-specific parameters
  • Wind:
  • Account for food and restroom breaks, both of which can take place while the biker is in motion!
  • All lead to loss of simplicity!
student projects
Student projects …
  • Long-distance automobile or dog-sled races!
  • Future Tour de France races!
  • Individual bikers!