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Chamber ProjectChamber Project
Mechanical Mechanical Engineering GroupEngineering Group
Team Members and Team Members and ResponsibilitiesResponsibilities
Traci Traughber: Research TracksTraci Traughber: Research Tracks Chris Griffin: Research Cars & Chris Griffin: Research Cars &
CalculationsCalculations Emily Lloyd: Survey & Power pointEmily Lloyd: Survey & Power point David Wyche: Finances & Calculations David Wyche: Finances & Calculations Jamaine Mason: GRA Guide Jamaine Mason: GRA Guide
ProblemProblem
Design a race track.Design a race track. Use math concepts for design.Use math concepts for design.
BackgroundBackground
Searched online for track designs and Searched online for track designs and cars generally used for go-kart trackscars generally used for go-kart tracks
Visited Barber’s Motor Sports trackVisited Barber’s Motor Sports track Found equations for track designFound equations for track design
EMAP Survey
Curves66%
Straight aways with higher
speeds26%
Don't Care8%
Curves
Straight aways with higherspeeds
Don't Care
Track Design- Adult TrackTrack Design- Adult Track
16 cars on track 16 cars on track at onceat once
Maximum of one Maximum of one person per carperson per car
Driver must be Driver must be over 10 years over 10 years old.old.
Maximum speed Maximum speed of 37 mphof 37 mph
Length of track-Length of track- ¼ mile¼ mile
Width – 8 feetWidth – 8 feet
ProcedureProcedure
d=R(1-cosd=R(1-cos/2)/2) d is the distance from point A to point B (ft)d is the distance from point A to point B (ft) R is the radius of curvature (ft)R is the radius of curvature (ft) is the angle of the curveis the angle of the curve
e + f=v²/15Re + f=v²/15R e is superelevation rate (ft/ft)e is superelevation rate (ft/ft) f is friction of rubber against asphalt:f is friction of rubber against asphalt:
Dry: 0.5 – 0.8Dry: 0.5 – 0.8 Wet: 0.25 – 0.75Wet: 0.25 – 0.75
v is max velocity while entering curve (mph)v is max velocity while entering curve (mph) r is radius of curvature (ft) r is radius of curvature (ft)
Procedure DiagramProcedure Diagram
D
R R
A Bd
Super Elevation Super Elevation ProcedureProcedure
f = .5f = .5 v = 40 mphv = 40 mph R = 105.6 ft.R = 105.6 ft. Using Using e + f = v² / 15R;e + f = v² / 15R; e = .5 ft/ft e = .5 ft/ft = 27= 27°°
Track Design- Track Design- “Mini-Mercedes” Race Track“Mini-Mercedes” Race Track
10 cars on track 10 cars on track at onceat once
One person per One person per carcar
Maximum speed Maximum speed of 25 mphof 25 mph
Length of track- Length of track- 1/4 miles1/4 miles
ParametersParameters
The majority of the track will be flat.The majority of the track will be flat. Elevation before bridge will gradually rise Elevation before bridge will gradually rise
to 10 feet for clearance and will gradually to 10 feet for clearance and will gradually descend after bridge.descend after bridge.
Procedure DiagramProcedure Diagram
GroundLevel
10 ft.Above
GroundLevel
Car DesignCar Design
Child CarChild Car Variety of Mini Variety of Mini
Mercedes cars will be Mercedes cars will be usedused
Adult CarAdult Car (L x W x H): (L x W x H):
8.2 ft x 3.2 ft x 2.4 ft 8.2 ft x 3.2 ft x 2.4 ft
CostsCosts
Estimated asphalt cost: $265,000/trackEstimated asphalt cost: $265,000/track Estimated car costs: $32,000 Estimated car costs: $32,000 Estimated total cost: $562,000Estimated total cost: $562,000
ConclusionConclusion
2 track designs2 track designs Adult TrackAdult Track
¼ mile long¼ mile long Curve distance = 1/16 mile (330 ft)Curve distance = 1/16 mile (330 ft) e = .5 ft/fte = .5 ft/ft = 27= 27°°
Kids TrackKids Track ¼ mile long¼ mile long Bridge will be 10 ft above groundBridge will be 10 ft above ground
Questions?Questions?