3. [20 pts total] Consider a rocket mounted horizontally to a stationary (i.e.,

Question

3. [20 pts total] Consider a rocket mounted horizontally to a stationary (i.e., zero rocket flight velocity) thrust stand. Assume that the exhaust gas gage pressure, exhaust gas temperature, mass flow rate, and exhaust velocity are 4.207 101 Pa, 631.6K, 42.415kg/s, and 2500m/s, respectively. a. 10 pts] Find the externally applied force (magnitude and direction) required to keep the engine stationary. b. 5 pts] What is the magnitude and direction of the rocket engine thrust? c. [5 pts] Find the exhaust gas Mach number

Explanation / Answer

3. given

Pe = 4.207*10^4 Pa

To = 631.6 K

m' = 42.415 kg/s

v = 2500 m/s

a. thrust, T = m'*v = 106037.5 N

so external applied force = F

F = 106037.5 N

in this case we haev ignored the weight of the rocket though

b. rocket thrust, F = 106037.5 N

direction ( away from the rocket tail)

c. exhaust gas speed = 2500 m/s

exhaust gas speed of sound = sqroot(gamma*RT/M) = 503.67 m/s

hecne M = 2500/503.6775 = 4.9634932

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