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?