AEM_360_Homework#5

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Dec 6, 2023

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AEM 360 ASTRONAUTICS Homework #5 – Rockets Name: none 1. Circle the most correct answer for each question. 2. Provide a reference from the course text (chapter and page number). For questions involving calculations, please show your work. 1. ( 8 points ) A 1.5 m 2 spacecraft radiator with an emissivity, ε, of 0.75 ejects 110 joules of heat per second (i.e, watts). What temperature must it be in degrees Celsius? Given : Stefan-Boltzmann constant, σ = 5.67 × 10 –8 W / m 2 K 4 ° C = K - 273.15 a. -59.72° C b. 203.78° C c. -69.37 K d. -69.37° C Reference: Ch. 13, Pg. 469 2. (4 points) Heat pipes are a means of internal active thermal control that provide a heat conduction path inside a spacecraft. They transfer heat based on the a. latent heat of fusion, the principle of storing additional heat in a liquid as it changes phase to a vapor. b. latent heat of vaporization, the principle of storing additional heat in a liquid as it changes phase to a vapor. c. latent heat of fusion, the principle of storing additional heat in a solid as it changes phase to a liquid. d. latent heat of vaporization, the principle of storing additional heat in a liquid as it changes phase to a solid. 1 E = 110 1.5 = 73.33 73.333 = ( 0.75 ) ( 5.67 10 8 ) ( T + 273.15 ) 4 T =− 69.37 o C
Reference: Ch. 13, Pg. 472 3. (5 points) Space Shuttle space suits operated at a pressure of only 29.6 kPa (4.3 psi). Therefore, at 12 hours before extravehicular activity (EVA, or spacewalk), air pressure inside the Shuttle was lowered from its normal near-sea level pressure to 70.3 kPa (10.2 psi) to avoid ________________; the EVA astronauts also had to breathe pure oxygen for 3-4 hours to purge nitrogen from their bodies to avoid nitrogen bubbles in the blood, which can cause_______________. a. decompression problems ; the bends. b. depression problems; the bends. c. compression problems; the leans. d. decompression problems; the leans Reference: Ch. 13, Pg. 474 4. ( 7 points ) A cylindrical rod 10 m long at room temperature, 21° C, has a coefficient of thermal expansion, α, of 2.22 x 10 -7 /°C . What will its change in length, ΔL, be at 50° C? What will the strain, ε, be? a. ΔL = 6.438 x 10 -5 m; ε = 6.438 x 10 -6 b. ΔL = -8.795 x 10 -8 m; ε = -8.795 x 10 -7 c. ΔL = 8.795 x 10 -5 m; ε = 8.795 x 10 -6 d. ΔL = -6.438 x 10 -5 m; ε = -6.438 x 10 -6 Reference: Ch. 13, Pg. 487 5. (5 points) Which statement about the launch vehicle acceleration profile shown below is false ? a. The two peaks on the left indicate dual solid rocket strap-on boosters. b. The long red line from before 5.0 min to after 15.0 min represents a relatively low thrust third stage. c. The maximum g-loading on the vehicle is more than 4.0 g’s d. The two peaks on the left indicate increasing acceleration due to decreasing propellant mass with near constant thrust. 2 ΔL = ( 10 ) ( 2.22 10 7 ) ( 50 21 ) = 6.438 10 5 m ε = 6.438 10 5 10 = 6.438 10 6
Reference: Ch. 13, Pg. 492 6. (4 points) Vibrating an object at its lowest natural frequency, also called its __________________, results in resonance, which is the tendency for an object to vibrate with increased amplitude (higher peaks), due to a synchronized, applied, periodic force. a. carrier frequency b. prime frequency c. fundamental frequency d. downlink frequency Reference: Ch. 13, Pg. 488 7. ( 10 points ) A communications satellite needs to perform a 12 m / s ΔV maneuver to adjust its orbit. The effective exhaust velocity, C, of the reaction control thruster is 1050 m / s and the spacecraft’s initial mass, m initial , is 1100 kg, how much propellant will the maneuver require? a. 9.950 kg b. 10.547 kg c. 11.105 kg d. 12.500 kg Reference: Ch. 14, Pg. 513 8. ( 6 points ) What is the specific impulse, I sp , of the reaction control thruster in Problem 7 above? Given: gravitational acceleration constant, g o = 9.81 m / s 2 a. 65.67 s b. 107.03 s c. 130.25 s d. 235.70 s 3 12 = ( 1050 ) ln ( 1100 m f ) m f = 1087.5001, m p = 1100 1087.5001 = 12.5 kg 12 = I 9.81 ln ( 1100 1087.5001 ) I = 107.33 s
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