Question

1. A very weak pressure wave, i.e., a souind wave, across which the pressure rise is 30 Pa moves through air which has a temperature of 30°C and a pressure of 101 kPa. Find the density change, the temperature change, and the velocity change across this wave. 2. An airplane is traveling at 1500 km/h at an altitude where the temperature is -60°C. What is the Mach at which the airplane is flying? 3. Calculate the speed of sound at 288 K in hydrogen, helium and nitrogen. Under what conditions will the speed of sound in hydrogen be equal to that of helium? 4. A normal shock wave occurs in an air flow at a point where the velocity is 680 m/s, the static pressure is 80 kPa and the static temperature is 60°C. Find the velocity, static pressure, and static temperature downstream of the shock. 5. A perfect gas flows through a stationary normal shock. The gas velocity decreases from 480 m/s to 160 m/s through the shock. If the pressure and the density upstream of the shock are 62 kPa and 1.5 kg/m³, find the pressure and density downstram of the shock and the specific heat ratio of the gas. 6. Complete the steps between these two equations. (? + 1) M?² / 2 + (? - 1) M?² = [(? + 1) M?² / 2 + (? - 1) M?²]?¹ (3.50) Solving Eq. (3.50) for M?²: M?² = 1 + [(? - 1) / 2] M?² / ?M?² - (? - 1) / 2 (3.51)

          1. A very weak pressure wave, i.e., a souind wave, across which the pressure rise is 30 Pa moves through air which has a temperature of 30°C and a pressure of 101 kPa. Find the density change, the temperature change, and the velocity change across this wave.
2. An airplane is traveling at 1500 km/h at an altitude where the temperature is -60°C. What is the Mach at which the airplane is flying?
3. Calculate the speed of sound at 288 K in hydrogen, helium and nitrogen. Under what conditions will the speed of sound in hydrogen be equal to that of helium?
4. A normal shock wave occurs in an air flow at a point where the velocity is 680 m/s, the static pressure is 80 kPa and the static temperature is 60°C. Find the velocity, static pressure, and static temperature downstream of the shock.
5. A perfect gas flows through a stationary normal shock. The gas velocity decreases from 480 m/s to 160 m/s through the shock. If the pressure and the density upstream of the shock are 62 kPa and 1.5 kg/m³, find the pressure and density downstram of the shock and the specific heat ratio of the gas.
6. Complete the steps between these two equations.

(? + 1) M?² / 2 + (? - 1) M?² = [(? + 1) M?² / 2 + (? - 1) M?²]?¹ (3.50)
Solving Eq. (3.50) for M?²:
M?² = 1 + [(? - 1) / 2] M?² / ?M?² - (? - 1) / 2 (3.51)

1. A very weak pressure wave, i.e., a souind wave, across which the pressure rise is 30 Pa moves through air which has a temperature of 30°C and a pressure of 101 kPa. Find the density change, the temperature change, and the velocity change across this wave.
2. An airplane is traveling at 1500 km/h at an altitude where the temperature is -60°C. What is the Mach at which the airplane is flying?
3. Calculate the speed of sound at 288 K in hydrogen, helium and nitrogen. Under what conditions will the speed of sound in hydrogen be equal to that of helium?
4. A normal shock wave occurs in an air flow at a point where the velocity is 680 m/s, the static pressure is 80 kPa and the static temperature is 60°C. Find the velocity, static pressure, and static temperature downstream of the shock.
5. A perfect gas flows through a stationary normal shock. The gas velocity decreases from 480 m/s to 160 m/s through the shock. If the pressure and the density upstream of the shock are 62 kPa and 1.5 kg/m³, find the pressure and density downstram of the shock and the specific heat ratio of the gas.
6. Complete the steps between these two equations.

(? + 1) M?² / 2 + (? - 1) M?² = [(? + 1) M?² / 2 + (? - 1) M?²]?¹ (3.50)
Solving Eq. (3.50) for M?²:
M?² = 1 + [(? - 1) / 2] M?² / ?M?² - (? - 1) / 2 (3.51)

Added by Colleen S.

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