Student #: For an incompressibl 15m/s subsonic flow the freestream airspeed is 25 m/s The 101 kPa and rho =1.225kg/m^3 and below the flat Question 5 (10+10=20 Points): (a) Calculate the pressures on the top of th plate and on the face area is 0.5m^2 (b)Calculate the lift created on the flat plate if the plate Name and Surname :

Question

Student #: For an incompressibl 15m/s subsonic flow the freestream airspeed is 25 m/s The 101 kPa and rho =1.225kg/m^3 and below the flat Question 5 (10+10=20 Points): (a) Calculate the pressures on the top of th plate and on the face area is 0.5m^2 (b)Calculate the lift created on the flat plate if the plate Name and Surname :

Answer 1

To solve this problem, we need to use the Bernoulli equation and the lift equation.(a) Calculate the pressures on the top of the plate:Given:- Free stream airspeed (V) = 15 m/s- Free stream pressure (P) = 101 kPa- Density of air (ρ) = 1.225 kg/m³We can use the Bernoulli equation to calculate the pressure on the top of the plate:P_top = P + 0.5 * ρ * V²Substituting the given values:P_top = 101 kPa + 0.5 * 1.225 kg/m³ * (15 m/s)²P_top = 101 kPa + 0.5 * 1.225 kg/m³ * 225 m²/s²P_top = 101 kPa + 137.8125 kPaP_top = 238.8125 kPaTherefore, the pressure on the top of the plate is 238.8125 kPa.(b) Calculate the lift created on the flat plate:Given:- Plate surface area (A) = 10 m²We can use the lift equation to calculate the lift created on the flat plate:Lift = 0.5 * ρ * V² * ASubstituting the given values:Lift = 0.5 * 1.225 kg/m³ * (15 m/s)² * 10 m²Lift = 0.5 * 1.225 kg/m³ * 225 m²/s² * 10 m²Lift = 137.8125 NTherefore, the lift created on the flat plate is 137.8125 N.

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