The lift force, F, of a V-2 rocket missile is a function of its length, L, velocity, V, average diameter, D, angle of attack, a, air density, p, and bulk modulus of elasticity of air, K. Using dimensional analysis, the expression for lift force was determined and is given by F = CLPV²LD where cL is the lift coefficient which is a function of the Mach number. Using the derived equation, calculate the lift force, in N, of a 1.2-meter average diameter V-2 rocket missile with length of 30 meters travelling at a velocity of 240 m/s at an angle of attack of 6º. Assume air density and bulk modulus of elasticity to be constant at 1.25 kg/m³ and 50 kPa, respectively. Use the provided figure in determining the lift coefficient of the rocket.

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Fluid Dynamics

The lift force, F, of a V-2 rocket missile is a function of its length, L, velocity, V, average diameter, D, angle of
attack, a, air density, p, and bulk modulus of elasticity of air, K. Using dimensional analysis, the expression for lift
force was determined and is given by F = CLV²LD where c₁ is the lift coefficient which is a function of the
Mach number. Using the derived equation, calculate the lift force, in N, of a 1.2-meter average diameter V-2
rocket missile with length of 30 meters travelling at a velocity of 240 m/s at an angle of attack of 6º. Assume air
density and bulk modulus of elasticity to be constant at 1.25 kg/m³ and 50 kPa, respectively. Use the provided
figure in determining the lift coefficient of the rocket.
2.00
Lift coefficient, C₂
1.50
1.00
0.50
1
2
a=10
-2°
foto fot
3
Mach number, M
5
6
Transcribed Image Text:The lift force, F, of a V-2 rocket missile is a function of its length, L, velocity, V, average diameter, D, angle of attack, a, air density, p, and bulk modulus of elasticity of air, K. Using dimensional analysis, the expression for lift force was determined and is given by F = CLV²LD where c₁ is the lift coefficient which is a function of the Mach number. Using the derived equation, calculate the lift force, in N, of a 1.2-meter average diameter V-2 rocket missile with length of 30 meters travelling at a velocity of 240 m/s at an angle of attack of 6º. Assume air density and bulk modulus of elasticity to be constant at 1.25 kg/m³ and 50 kPa, respectively. Use the provided figure in determining the lift coefficient of the rocket. 2.00 Lift coefficient, C₂ 1.50 1.00 0.50 1 2 a=10 -2° foto fot 3 Mach number, M 5 6
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