Mechanical Engineering Exam > Mechanical Engineering Questions > A jet is flying at a speed of 900 km/hr. If ...
Start Learning for Free
A jet is flying at a speed of 900 km/hr. If the ambient pressure is 0.75 bar and temperature is —30°C. TakeStagnation y = 1.4 and R= 287 kJ/kgK, then
- a)Pressure at the nose of the plane = 1.134 bar
- b)Stagnation density at the nose of the plane = 1.45 kg/m3
- c)Stagnation pressure at the nose of the plane = 1.381 bar
- d)Stagnation density at the nose of the plane = 1.12 kg/m3
Correct answer is option 'A AND B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A jet is flying at a speed of 900 km/hr. If the ambient pressure is 0...
To solve this problem, we will use the principles of compressible flow and the equations of state for ideal gases. The given information includes the speed of the jet, ambient pressure and temperature, and the values of specific heat ratio (γ) and specific gas constant (R).
1. Convert the speed from km/hr to m/s:
Speed = 900 km/hr = 900 * (1000/3600) m/s = 250 m/s
2. Convert the temperature from °C to Kelvin:
Temperature (K) = -30 + 273 = 243 K
3. Calculate the Mach number (M) of the jet:
Mach number (M) = Speed of the jet / Speed of sound
Speed of sound = sqrt(γ * R * Temperature)
Speed of sound = sqrt(1.4 * 287 * 243) = 297.8 m/s
Mach number (M) = 250 / 297.8 = 0.84
4. Calculate the static pressure at the nose of the plane:
Pressure at the nose = Ambient pressure * (1 + (γ-1)/2 * M^2)^(γ/(γ-1))
Pressure at the nose = 0.75 * (1 + (1.4-1)/2 * 0.84^2)^(1.4/(1.4-1))
Pressure at the nose = 1.134 bar
5. Calculate the static density at the nose of the plane:
Static density at the nose = Ambient density * (1 + (γ-1)/2 * M^2)^(1/(γ-1))
Ambient density = Ambient pressure / (R * Temperature)
Ambient density = 0.75 * 10^5 / (287 * 243) = 1.44 kg/m^3
Static density at the nose = 1.44 * (1 + (1.4-1)/2 * 0.84^2)^(1/(1.4-1))
Static density at the nose = 1.45 kg/m^3
Therefore, the correct answers are:
a) Pressure at the nose of the plane = 1.134 bar
b) Stagnation density at the nose of the plane = 1.45 kg/m^3
1. Convert the speed from km/hr to m/s:
Speed = 900 km/hr = 900 * (1000/3600) m/s = 250 m/s
2. Convert the temperature from °C to Kelvin:
Temperature (K) = -30 + 273 = 243 K
3. Calculate the Mach number (M) of the jet:
Mach number (M) = Speed of the jet / Speed of sound
Speed of sound = sqrt(γ * R * Temperature)
Speed of sound = sqrt(1.4 * 287 * 243) = 297.8 m/s
Mach number (M) = 250 / 297.8 = 0.84
4. Calculate the static pressure at the nose of the plane:
Pressure at the nose = Ambient pressure * (1 + (γ-1)/2 * M^2)^(γ/(γ-1))
Pressure at the nose = 0.75 * (1 + (1.4-1)/2 * 0.84^2)^(1.4/(1.4-1))
Pressure at the nose = 1.134 bar
5. Calculate the static density at the nose of the plane:
Static density at the nose = Ambient density * (1 + (γ-1)/2 * M^2)^(1/(γ-1))
Ambient density = Ambient pressure / (R * Temperature)
Ambient density = 0.75 * 10^5 / (287 * 243) = 1.44 kg/m^3
Static density at the nose = 1.44 * (1 + (1.4-1)/2 * 0.84^2)^(1/(1.4-1))
Static density at the nose = 1.45 kg/m^3
Therefore, the correct answers are:
a) Pressure at the nose of the plane = 1.134 bar
b) Stagnation density at the nose of the plane = 1.45 kg/m^3
Free Test
FREE
| Start Free Test |
Community Answer
A jet is flying at a speed of 900 km/hr. If the ambient pressure is 0...
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
|
Explore Courses for Mechanical Engineering exam
|
|
Similar Mechanical Engineering Doubts
Top Courses for Mechanical EngineeringView all
A jet is flying at a speed of 900 km/hr. If the ambient pressure is 0.75 bar and temperature is —30°C. TakeStagnation y = 1.4 and R= 287 kJ/kgK, thena)Pressure at the nose of the plane = 1.134 barb)Stagnation density at the nose of the plane = 1.45 kg/m3c)Stagnation pressure at the nose of the plane = 1.381 bard)Stagnation density at the nose of the plane = 1.12 kg/m3Correct answer is option 'A AND B'. Can you explain this answer?
Question Description
A jet is flying at a speed of 900 km/hr. If the ambient pressure is 0.75 bar and temperature is —30°C. TakeStagnation y = 1.4 and R= 287 kJ/kgK, thena)Pressure at the nose of the plane = 1.134 barb)Stagnation density at the nose of the plane = 1.45 kg/m3c)Stagnation pressure at the nose of the plane = 1.381 bard)Stagnation density at the nose of the plane = 1.12 kg/m3Correct answer is option 'A AND B'. Can you explain this answer? 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 A jet is flying at a speed of 900 km/hr. If the ambient pressure is 0.75 bar and temperature is —30°C. TakeStagnation y = 1.4 and R= 287 kJ/kgK, thena)Pressure at the nose of the plane = 1.134 barb)Stagnation density at the nose of the plane = 1.45 kg/m3c)Stagnation pressure at the nose of the plane = 1.381 bard)Stagnation density at the nose of the plane = 1.12 kg/m3Correct answer is option 'A AND B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A jet is flying at a speed of 900 km/hr. If the ambient pressure is 0.75 bar and temperature is —30°C. TakeStagnation y = 1.4 and R= 287 kJ/kgK, thena)Pressure at the nose of the plane = 1.134 barb)Stagnation density at the nose of the plane = 1.45 kg/m3c)Stagnation pressure at the nose of the plane = 1.381 bard)Stagnation density at the nose of the plane = 1.12 kg/m3Correct answer is option 'A AND B'. Can you explain this answer?.
A jet is flying at a speed of 900 km/hr. If the ambient pressure is 0.75 bar and temperature is —30°C. TakeStagnation y = 1.4 and R= 287 kJ/kgK, thena)Pressure at the nose of the plane = 1.134 barb)Stagnation density at the nose of the plane = 1.45 kg/m3c)Stagnation pressure at the nose of the plane = 1.381 bard)Stagnation density at the nose of the plane = 1.12 kg/m3Correct answer is option 'A AND B'. Can you explain this answer? 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 A jet is flying at a speed of 900 km/hr. If the ambient pressure is 0.75 bar and temperature is —30°C. TakeStagnation y = 1.4 and R= 287 kJ/kgK, thena)Pressure at the nose of the plane = 1.134 barb)Stagnation density at the nose of the plane = 1.45 kg/m3c)Stagnation pressure at the nose of the plane = 1.381 bard)Stagnation density at the nose of the plane = 1.12 kg/m3Correct answer is option 'A AND B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A jet is flying at a speed of 900 km/hr. If the ambient pressure is 0.75 bar and temperature is —30°C. TakeStagnation y = 1.4 and R= 287 kJ/kgK, thena)Pressure at the nose of the plane = 1.134 barb)Stagnation density at the nose of the plane = 1.45 kg/m3c)Stagnation pressure at the nose of the plane = 1.381 bard)Stagnation density at the nose of the plane = 1.12 kg/m3Correct answer is option 'A AND B'. Can you explain this answer?.
Solutions for A jet is flying at a speed of 900 km/hr. If the ambient pressure is 0.75 bar and temperature is —30°C. TakeStagnation y = 1.4 and R= 287 kJ/kgK, thena)Pressure at the nose of the plane = 1.134 barb)Stagnation density at the nose of the plane = 1.45 kg/m3c)Stagnation pressure at the nose of the plane = 1.381 bard)Stagnation density at the nose of the plane = 1.12 kg/m3Correct answer is option 'A AND B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of A jet is flying at a speed of 900 km/hr. If the ambient pressure is 0.75 bar and temperature is —30°C. TakeStagnation y = 1.4 and R= 287 kJ/kgK, thena)Pressure at the nose of the plane = 1.134 barb)Stagnation density at the nose of the plane = 1.45 kg/m3c)Stagnation pressure at the nose of the plane = 1.381 bard)Stagnation density at the nose of the plane = 1.12 kg/m3Correct answer is option 'A AND B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A jet is flying at a speed of 900 km/hr. If the ambient pressure is 0.75 bar and temperature is —30°C. TakeStagnation y = 1.4 and R= 287 kJ/kgK, thena)Pressure at the nose of the plane = 1.134 barb)Stagnation density at the nose of the plane = 1.45 kg/m3c)Stagnation pressure at the nose of the plane = 1.381 bard)Stagnation density at the nose of the plane = 1.12 kg/m3Correct answer is option 'A AND B'. Can you explain this answer?, a detailed solution for A jet is flying at a speed of 900 km/hr. If the ambient pressure is 0.75 bar and temperature is —30°C. TakeStagnation y = 1.4 and R= 287 kJ/kgK, thena)Pressure at the nose of the plane = 1.134 barb)Stagnation density at the nose of the plane = 1.45 kg/m3c)Stagnation pressure at the nose of the plane = 1.381 bard)Stagnation density at the nose of the plane = 1.12 kg/m3Correct answer is option 'A AND B'. Can you explain this answer? has been provided alongside types of A jet is flying at a speed of 900 km/hr. If the ambient pressure is 0.75 bar and temperature is —30°C. TakeStagnation y = 1.4 and R= 287 kJ/kgK, thena)Pressure at the nose of the plane = 1.134 barb)Stagnation density at the nose of the plane = 1.45 kg/m3c)Stagnation pressure at the nose of the plane = 1.381 bard)Stagnation density at the nose of the plane = 1.12 kg/m3Correct answer is option 'A AND B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A jet is flying at a speed of 900 km/hr. If the ambient pressure is 0.75 bar and temperature is —30°C. TakeStagnation y = 1.4 and R= 287 kJ/kgK, thena)Pressure at the nose of the plane = 1.134 barb)Stagnation density at the nose of the plane = 1.45 kg/m3c)Stagnation pressure at the nose of the plane = 1.381 bard)Stagnation density at the nose of the plane = 1.12 kg/m3Correct answer is option 'A AND B'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup