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What Additional Cornering Speed Can Aerofoils Provide to a Formula One car?

This assignment introduces concepts such as centripetal force, angular acceleration, coefficient of friction, unit conversion, scaling and dimensioning, and problem solving. The objective of this work will be to learn how to analyse and present information in a meaningful way.
The problem to be solved is “What additional cornering speed can aerofoils provide to a Formula One car”. You are asked to calculate maximum cornering speeds with and also without aerofoils. To help solve this task, you will use ‘Foilsim’ software.
Assumptions:
• The car will be travelling around a bend of fixed radius: (50m / 100m / 200m)
• Car mass is 640kg.
• Centre of gravity is 2/3 rds of the way back horizontally between the wheels
• Maximum width of car = 1.8 m (As governed by F1 Rules)
• Maximum height = 0.9 m
Coefficient of friction between the tyres and the road:
• Intermediate tyres in the dry: 0.6
• Intermediate tyres in the wet: 0.3
• Slicks in the dry: 0.95
• Slicks in the wet: 0.1
Tasks
1. Calculate the maximum speed of the car around the three bend radii without the aerofoils, for each of the four tyre conditions.
• Before attempting the next questions, please watch the set of tutorial videos, by following the links given in the appendix.
• Use Foilsim (undergraduate edition) to design two aerofoils which fit the car (they must use the span and chord values as determined using the instructions below).
• To determine the chord and span of each aerofoil: Perform a Google image search to find a top view of a Formula One car. Then copy the image into a programme such as MS Paint and, taking the maximum overall width to be approximately 1.8 m as a scaling reference, measure the drawing to obtain dimensions for the wings and overall length. You will use these measurements as the basis of your calculations.
2. Calculate the new maximum speed for each of the three bend radii, for each of the four tyre conditions.
3. Plot a set of graphs which concisely summarise all your findings (with / without aerofoils, bend radius, tyre friction coefficient).
4. When the car is without aerofoils, calculate the forces for one particular corner radius / tyre combination and determine whether the front or the back tyres slip first.
Supporting Information:
The following diagrams and screenshots are intended to help you work through this assignment
• Scaling and measurement using the top view of a Formula One car

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