Task 1: Create the dimensionless relationship and design of
modern F1 racing car
“Imagine you are working as an automotive engineer in a Formula 1 racing team. Your team has been tasked with designing a cutting-edge Formula 1 car that can excel on the track. The car’s aerodynamics are crucial for achieving high speeds and performance. You have designed scale models of the Formula 1 car and conducted experiments in a wind tunnel and water tunnel (Figure 1). The wind tunnel conditions were set at a temperature of 20°C and atmospheric pressure, while fresh water at the same temperature was utilized to operate the water tunnel. The goal is to optimize the car’s aerodynamic performance, and you’ve collected drag force data at various speeds for different model sizes, as presented in Table 1.

a. It is known that the drag force, 𝐹𝐷 is a function of the density, ρ, viscosity, 𝜇, velocity, V, and aircraft model length, L. Create the dimensionless relation for this problem and plot the data above in this dimensionless manner. Discuss on the dimensionless relation created, and comment on the possible uncertainty of the experimental results.

b. Next, your team is using this model geometry to build a large-scale F1 racing car. If you desire the maximum drag force should not be exceeded 0.20 N, what would be the proper length of the modern combat aircraft travel with an average velocity of 155 km/h in normal air condition? Do you think the calculated length is feasible and suitable? Identify the possible limitations of design?

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