1. Assume a Centaur V upper stage with an empty mass of 2,247 kg, diameter of 3.05 metersand height of 12.68m, the wall thickness is 41mm, whereas the motor can be assumed tofill up 1/4 of the inner volume. You can assume the density of the walls and the motor tobe uniform. You can assume the upper stage has been properly passivated and has no fuelremaining.(a) Compute the inertia tensor relative to the center of mass.

Answered: Assume a Centaur V upper stage with an…

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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1. Assume a Centaur V upper stage with an empty mass of 2,247 kg, diameter of 3.05 meters
and height of 12.68m, the wall thickness is 41mm, whereas the motor can be assumed to
fill up 1/4 of the inner volume. You can assume the density of the walls and the motor to
be uniform. You can assume the upper stage has been properly passivated and has no fuel
remaining.
(a) Compute the inertia tensor relative to the center of mass.

Expert Solution

Step 1

To Find :

The inertia tensor relative to the centre of mass.

Given :

The mass is $m = 2247 kg$

The diameter is $d = 3.05 m$

The height is $h = 12.68 m$

the thickness is $t = 41 mm$

Concept : The volume of the Centaur V upper stage. We can do this by subtracting the volume of the empty space within the walls of the upper stage from the total volume of the cylinder formed by the outer walls

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