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Researchers Plan to Test a 1:13 Model of a ballistic Missile in a high speed wind tunnel. The Prototype missile will travel at 380 m/s through air at 23 0 C and 95.0 kPa (Abs) . ESE-2012 (a) if the air in the wind tunnel section has a temperature of -20 0 C at a pressure of 89 kPa (abs) what must be its velocity? (b) Estimate the drag force on prototype if the drag force on model is 400 N.?
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Researchers Plan to Test a 1:13 Model of a ballistic Missile in a high...
Response:
To determine the velocity of air in the wind tunnel, the following formula can be used:
v2 = v1 * √(T2/T1) * (P2/P1)
Where:
v1 = velocity of prototype missile = 380 m/s
T1 = temperature of air in prototype missile = 23 0 C = 296 K
P1 = pressure of air in prototype missile = 95.0 kPa (abs)
T2 = temperature of air in wind tunnel = -20 0 C = 253 K
P2 = pressure of air in wind tunnel = 89 kPa (abs)
Substituting the values in the formula, we get:
v2 = 380 * √(253/296) * (89/95) = 430.9 m/s
Therefore, the velocity of air in the wind tunnel must be 430.9 m/s.
To estimate the drag force on the prototype missile, the drag force on the model can be scaled up using the following formula:
F1/A1 = F2/A2
Where:
F1 = drag force on model = 400 N
A1 = surface area of model
F2 = drag force on prototype
A2 = surface area of prototype
Since the prototype is 1:13 scale of the model, the surface area of the prototype will be 13 times greater than the surface area of the model. Therefore:
A2 = 13 * A1
Substituting the values in the formula, we get:
F2 = F1 * (A2/A1) = 400 * 13 = 5200 N
Therefore, the estimated drag force on the prototype will be 5200 N. The drag force on the prototype can be significant and needs to be accounted for in the design of the missile.
Part (a)
To determine the velocity of air in the wind tunnel, the following formula can be used:
v2 = v1 * √(T2/T1) * (P2/P1)
Where:
v1 = velocity of prototype missile = 380 m/s
T1 = temperature of air in prototype missile = 23 0 C = 296 K
P1 = pressure of air in prototype missile = 95.0 kPa (abs)
T2 = temperature of air in wind tunnel = -20 0 C = 253 K
P2 = pressure of air in wind tunnel = 89 kPa (abs)
Substituting the values in the formula, we get:
v2 = 380 * √(253/296) * (89/95) = 430.9 m/s
Therefore, the velocity of air in the wind tunnel must be 430.9 m/s.
Part (b)
To estimate the drag force on the prototype missile, the drag force on the model can be scaled up using the following formula:
F1/A1 = F2/A2
Where:
F1 = drag force on model = 400 N
A1 = surface area of model
F2 = drag force on prototype
A2 = surface area of prototype
Since the prototype is 1:13 scale of the model, the surface area of the prototype will be 13 times greater than the surface area of the model. Therefore:
A2 = 13 * A1
Substituting the values in the formula, we get:
F2 = F1 * (A2/A1) = 400 * 13 = 5200 N
Therefore, the estimated drag force on the prototype will be 5200 N. The drag force on the prototype can be significant and needs to be accounted for in the design of the missile.
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Researchers Plan to Test a 1:13 Model of a ballistic Missile in a high speed wind tunnel. The Prototype missile will travel at 380 m/s through air at 23 0 C and 95.0 kPa (Abs) . ESE-2012 (a) if the air in the wind tunnel section has a temperature of -20 0 C at a pressure of 89 kPa (abs) what must be its velocity? (b) Estimate the drag force on prototype if the drag force on model is 400 N.?
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Researchers Plan to Test a 1:13 Model of a ballistic Missile in a high speed wind tunnel. The Prototype missile will travel at 380 m/s through air at 23 0 C and 95.0 kPa (Abs) . ESE-2012 (a) if the air in the wind tunnel section has a temperature of -20 0 C at a pressure of 89 kPa (abs) what must be its velocity? (b) Estimate the drag force on prototype if the drag force on model is 400 N.? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Researchers Plan to Test a 1:13 Model of a ballistic Missile in a high speed wind tunnel. The Prototype missile will travel at 380 m/s through air at 23 0 C and 95.0 kPa (Abs) . ESE-2012 (a) if the air in the wind tunnel section has a temperature of -20 0 C at a pressure of 89 kPa (abs) what must be its velocity? (b) Estimate the drag force on prototype if the drag force on model is 400 N.? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Researchers Plan to Test a 1:13 Model of a ballistic Missile in a high speed wind tunnel. The Prototype missile will travel at 380 m/s through air at 23 0 C and 95.0 kPa (Abs) . ESE-2012 (a) if the air in the wind tunnel section has a temperature of -20 0 C at a pressure of 89 kPa (abs) what must be its velocity? (b) Estimate the drag force on prototype if the drag force on model is 400 N.?.
Researchers Plan to Test a 1:13 Model of a ballistic Missile in a high speed wind tunnel. The Prototype missile will travel at 380 m/s through air at 23 0 C and 95.0 kPa (Abs) . ESE-2012 (a) if the air in the wind tunnel section has a temperature of -20 0 C at a pressure of 89 kPa (abs) what must be its velocity? (b) Estimate the drag force on prototype if the drag force on model is 400 N.? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Researchers Plan to Test a 1:13 Model of a ballistic Missile in a high speed wind tunnel. The Prototype missile will travel at 380 m/s through air at 23 0 C and 95.0 kPa (Abs) . ESE-2012 (a) if the air in the wind tunnel section has a temperature of -20 0 C at a pressure of 89 kPa (abs) what must be its velocity? (b) Estimate the drag force on prototype if the drag force on model is 400 N.? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Researchers Plan to Test a 1:13 Model of a ballistic Missile in a high speed wind tunnel. The Prototype missile will travel at 380 m/s through air at 23 0 C and 95.0 kPa (Abs) . ESE-2012 (a) if the air in the wind tunnel section has a temperature of -20 0 C at a pressure of 89 kPa (abs) what must be its velocity? (b) Estimate the drag force on prototype if the drag force on model is 400 N.?.
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