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

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.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

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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Step 2: Mass of fuel and oxidizer will be as:-

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Step 3: a. Time to burnout:-

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Step 4: b. Expression for acceleration:-

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