Chamber Project Mechanical Engineering Group

Team Members and Responsibilities  Traci Traughber: Research Tracks  Chris Griffin: Research Cars & Calculations  Emily Lloyd: Survey & Power point  David Wyche: Finances & Calculations  Jamaine Mason: GRA Guide

Problem  Design a race track.  Use math concepts for design.

Background  Searched online for track designs and cars generally used for go-kart tracks  Visited Barber’s Motor Sports track  Found equations for track design

Track Design- Adult Track  16 cars on track at once  Maximum of one person per car  Driver must be over 10 years old.  Maximum speed of 37 mph  Length of track- ¼ mile  Width – 8 feet

Procedure  d=R(1-cos  /2)  d is the distance from point A to point B (ft)  R is the radius of curvature (ft)   is the angle of the curve  e + f=v²/15R  e is superelevation rate (ft/ft)  f is friction of rubber against asphalt:  Dry: 0.5 – 0.8  Wet: 0.25 – 0.75  v is max velocity while entering curve (mph)  r is radius of curvature (ft)

Procedure Diagram D RR  A B d

Super Elevation Procedure  f =.5  v = 40 mph  R = ft.  Using e + f = v² / 15R; e =.5 ft/ft   = 27° 

Track Design- “Mini-Mercedes” Race Track  10 cars on track at once  One person per car  Maximum speed of 25 mph  Length of track- 1/4 miles

Parameters  The majority of the track will be flat.  Elevation before bridge will gradually rise to 10 feet for clearance and will gradually descend after bridge.

Procedure Diagram Ground Level 10 ft. Above Ground Level

Car Design  Child Car  Variety of Mini Mercedes cars will be used  Adult Car  (L x W x H): 8.2 ft x 3.2 ft x 2.4 ft

Costs  Estimated asphalt cost: $265,000/track  Estimated car costs: $32,000  Estimated total cost: $562,000

Conclusion  2 track designs  Adult Track  ¼ mile long  Curve distance = 1/16 mile (330 ft)  e =.5 ft/ft   = 27°  Kids Track  ¼ mile long  Bridge will be 10 ft above ground

Questions?