A small rocket is fully loaded with fuel and oxidizer with a total mass of 500,000 kg. 80% of that total mass is fuel and oxidizer. The rocket is pointed vertically up and is placed on a launching pad on the earth. After ignition, the mass flow rate of the exhaust from the rocket engine is 2300 kg/s with an exit velocity of 2100 m/s relative to the rocket. Neglecting pressure forces and fluid drag, answer the following: (a) What is the time (in seconds) to burnout (i.e., the rocket runs out of fuel and oxidizer) after ignition (Hint: Use CoM!) (b) Develop an expression (i.e., no numbers!) for the acceleration of the rocket in terms of

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Problem 11.1
A small rocket is fully loaded with fuel and oxidizer with a total mass of 500,000 kg. 80% of that
total mass is fuel and oxidizer. The rocket is pointed vertically up and is placed on a launching
pad on the earth. After ignition, the mass flow rate of the exhaust from the rocket engine is 2300
kg/s with an exit velocity of 2100 m/s relative to the rocket. Neglecting pressure forces and fluid
drag, answer the following:
(a) What is the time (in seconds) to burnout (i.e., the rocket runs out of fuel and oxidizer)
after ignition (Hint: Use COM!)
(b) Develop an expression (i.e., no numbers!) for the acceleration of the rocket in terms of
the given variables. (Hint: Use COLM)
Answers: (a) 150 s < t < 200 s
Transcribed Image Text:Problem 11.1 A small rocket is fully loaded with fuel and oxidizer with a total mass of 500,000 kg. 80% of that total mass is fuel and oxidizer. The rocket is pointed vertically up and is placed on a launching pad on the earth. After ignition, the mass flow rate of the exhaust from the rocket engine is 2300 kg/s with an exit velocity of 2100 m/s relative to the rocket. Neglecting pressure forces and fluid drag, answer the following: (a) What is the time (in seconds) to burnout (i.e., the rocket runs out of fuel and oxidizer) after ignition (Hint: Use COM!) (b) Develop an expression (i.e., no numbers!) for the acceleration of the rocket in terms of the given variables. (Hint: Use COLM) Answers: (a) 150 s < t < 200 s
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