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 :

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