1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
guapka [62]
3 years ago
10

A rocket engine has a chamber pressure 4 MPa and a chamber temperature of 2000 K. Assuming isentropic expansion through the nozz

le, and an exit Mach number of 3.2, what are the static pressure and temperature in the exit plane of the nozzle
Physics
1 answer:
gladu [14]3 years ago
6 0

This question is incomplete, the complete question is;

A rocket engine has a chamber pressure 4 MPa and a chamber temperature of 2000 K. Assuming isentropic expansion through the nozzle, and an exit Mach number of 3.2, what are the stagnation pressure and temperature in the exit plane of the nozzle?  Assume the specific heat ratio is 1.2.

Answer:

- stagnation pressure is 274.993 Mpa

- the stagnation temperature Tt is 4048 K

Explanation:

Given the data in the question;

To determine the stagnation pressure and temperature in the exit plane of the nozzle;

we us the expression;

Pt/P = (1 + (γ-1 / 2) M²)^(γ/γ -1) = ( Tt/T )^(γ/γ -1)

where Pt is stagnant pressure = ?

P is static pressure = 4 MPa = 4 × 10⁶ Pa  

Tt is stagnation temperature = ?

T is the static temperature  = 2000 K

γ is ratio of specific heats = 1.2

M is Mach number M = 3.2

we substitute

Pt/P = (1 + (γ-1 / 2) M²)^(γ/γ -1)

Pt = P(1 + (γ-1 / 2) M²)^(γ/γ -1)

Pt = 4 × 10⁶(1 + (1.2-1 / 2) 3.2²)^(1.2/1.2 -1)

Pt = 4 × 10⁶ × 68.7484

Pt = 274.993 × 10⁶ Pa

Pt = 274.993 Mpa

Therefore stagnation pressure is 274.993 Mpa

Now, to get our stagnation Temperature

Pt/P = ( Tt/T )^(γ/γ -1)

we substitute

274.993 × 10⁶ Pa / 4 × 10⁶ Pa =  ( Tt / 2000 )^(1.2/1.2 -1)

68.7484 =  Tt⁶ / 6.4 × 10¹⁹

Tt⁶ = 68.7484 × 6.4 × 10¹⁹

Tt⁶ = 4.3998976 × 10²¹

Tt = ⁶√(4.3998976 × 10²¹)

Tt = 4047.999 ≈ 4048 K

Therefore, the stagnation temperature Tt is 4048 K

You might be interested in
What is the approximate mass of air in a living room 4.5m×3.4m×2.9m? the density of air is 1.29 kg/m3?
topjm [15]
First we have to calculate the volume of the living room:
V = L x W x H = 4.5 m * 3.4 m * 2.9 m
V = 44.37 m³
We know that Density = 1.29 kg/m²
D = m / V
m = D · V
m = 1.29 kg/m³ · 44.37 m³
m = 57.2373 kg ≈ 57.2 kg
Answer: The approximate mass of air in living room is 57.2 kg.
6 0
2 years ago
Earth's gravitational field is strongest at _______.
Serga [27]
Earth's gravity is stronger at the poles than the equator for two reasons: The centrifugal "force" cancels out the gravity minimally, more so at the equator than at the poles.
3 0
2 years ago
Is it possible to accelerate while moving constant speed
marusya05 [52]

Answer:

Explanation:

An object which experiences either a change in the magnitude or the direction of the velocity vector can be said to be accelerating. This explains why an object moving in a circle at constant speed can be said to accelerate - the direction of the velocity changes.

3 0
3 years ago
in which of the exercise and sports science do specialist study achievement motivation , arousal attribution and personality dev
Mekhanik [1.2K]

Sport and exercise psychology

Explanation:

Here you study the psychological factors that  are connected to your performance and contribution to sport, exercises and physical activities.Through application of psychological principles you can attain higher mental health  and your performance will be enhanced. For example, you will be able to recognize times when you experience emotional states without without knowing the reasons or causes which is a concept of arousal attribution.Understanding your pattern of behavior and attitude builds up your personality making you distinctive.

Learn More

Sports and exercise psychology :brainly.com/question/1213874

Keywords : exercise, sports science, study , achievement motivation, arousal attribution, personal development.

#LearnwithBrainly

7 0
3 years ago
Define electric potential energy
Verizon [17]
Electric potential energy, or Electrostatic potential energy, is a potential energy that results from conservative Coulomb forces and is associated with the configuration of a particular set of point charges within a defined system.
3 0
3 years ago
Read 2 more answers
Other questions:
  • At Hoover Dam, the distance the water effectively falls before encountering the electric generators depends on the water levels
    11·1 answer
  • Find the sum of the vectors:11 km N ,11km E
    6·1 answer
  • The three-toed sloth is the slowest moving land mammal. On the ground, the sloth moves at an average speed of 0.037 m/s, conside
    6·1 answer
  • To ancient peoples, why were planets special?
    7·1 answer
  • A nylon string has a diameter of 2 mm pulled by a force of 100 Newton. Determine the stress?
    6·1 answer
  • A slingshot fi res a pebble from the top of a building at a speed of 14.0 m/s. The building is 31.0 m tall. Ignoring air resista
    8·1 answer
  • If a cart is accelerating downhill under a net force of 25 N, what additional force would cause the cart to have a constant velo
    5·1 answer
  • I will give brainliest if right
    12·2 answers
  • What is an Alternative fuel?
    9·2 answers
  • a new planet is found with a density one third as much at earth and a radius twice that of earth. what is the acceleration due t
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!