The Degrees of RacingThe Degrees of Racing

Created byKeith Johnson, Alan Riley, and Brandon Sasser

1936 Daytona Begins the Dream The Sacrifice of War 1948 The Birth of National Association for Stock Car

Auto Racing (NASCAR) Bill France, Founder of NASCAR and International

Speedway Corporation (ISC) 1971 Winston Cup Series Begins 2004 Nextel Cup Series Begins

The History Of NASCAR

The Southern Sport Goes NationalThe Southern Sport Goes National

• NASCAR becomes #1 spectator sport in 2000.

• Eighty million television viewers in 2000

• 3 divisions of NASCAR• Winston Cup Series• Busch Series• Craftsman Truck Series

Banking On The TurnBanking On The Turn

grv )(tan)( 2max

Design Speed EquationDesign Speed Equation

Equation of Maximum VelocityEquation of Maximum Velocity

(Vmax)2 = [(sin + scos) / (cos - ssin)]gr

is equal to the degree of banking of the particular turn

s is the coefficient of static friction between the

track and the tires g is acceleration due to gravity r is the radius of the particular turn

Derivation of Maximum Derivation of Maximum Velocity EquationVelocity Equation

0sincos ysNy mafmgFF

mgFF NsN sincos

)sin/(cos sN mgF

rvmmafFF xsNx /)(cossin 2max

Nss Ff

rvmmgmg sss /)()]sin/(coscos[)]sin/(cossin[ 2max

grv )(tan)( 2max

grv ss )]sin/(cos)cos[(sin)( 2max

Darlington Raceway1.366-Mile Egg-shaped Oval

Turns 1 & 2

Banking: 25° Width: 79 FtRadius: 600 Ft

Turns 3 & 4

Banking: 23° Width: 62 Ft Radius: 525 Ft

Backstretch

Length: 1,229 Ft Width: 90 FtBanking: 2°

Frontstretch

Length: 1,229 Ft Width: 90 FtBanking: 3°

Qualifying Record: 173.797 mph

Finding the Coefficient of Static Finding the Coefficient of Static FrictionFriction

grss )]23sin23/(cos)23cos23[(sin)138( 2

98.s

Talladega Superspeedway2.66-Mile Trioval

48 Ft wide

33°

33°

18°

Turns

Length: 3,750 Ft

Radius: 1,100 Ft

4,000 Ft

Frontstretch

Chute: 2,150 Ft

Total: 4,300 Ft

2003 Pole Speed: 189.943 mph

Talladega Super SpeedwayTalladega Super Speedway

Turns are banked 33 degrees Radius of turns is 1100 feet

)2083)(.78967)](33sin98.33/(cos)33cos98.33[(sin2max V

5.271max V

Daytona International Speedway2.5-Mile Trioval

40 Ft wide

31°

31°

18°

3,000 Ft.

Turns

Length: 3,000 Ft

Radius: 1,000 Ft

Frontstretch

Chute: 1,900 Ft

Total: 3,800 Ft

2003 Pole Speed: 184.752 mph

Daytona Super SpeedwayDaytona Super Speedway

31 degree banking in turnsTurns have 1000 foot radius

)1894)(.78967)](31sin98.31/(cos)31cos98.31[(sin2max V

8.239max V

Bristol Motor Speedway.533-Mile Concrete Oval

40 Ft Wide

Turns- 36°

Straightaways

Length: 650 Ft

Banking: 16°

Bristol Motor SpeedwayBristol Motor Speedway

Corners are banked at 36 degreesRadius is 241 feet

)0457)(.78967)](36sin98.36/(cos)36cos98.36[(sin2max V

2.146max V

Lowe’s Motor Speedway1.5-Mile Quad-oval

Turns

Banking: 24°

Frontstretch: 1,952 Ft

Banking: 5°

Backstretch: 1,360 Ft

Banking: 5°

Qualifying Record: 186.657 mph

Lowe’s Motor SpeedwayLowe’s Motor Speedway

)1389)(.78967)](24sin98.24/(cos)24cos98.24[(sin2max V

5.166max V

SourcesSources

Nascar.com

Quicktv.net

National Broadcasting Corporation

Nascar-info.net

Findarticles.com

Darlingtonraceway.com

Bristolmotorspeedway.com

Talladegasuperspeedway.com

Daytonainternationalspeedway.com

Physics.bu.com