A rocket Liquid Oxygen (LOX) tank is made by rotating the shape shown about the x axis. Givenr=3 m and L=5.5 m determine the centroid of the shape shown. L The volume of the LOX tank is y=r m3 X The area centroid location is X Im and Y What is the volume of the LOX tank made by rotating this area about the x axis? 1 m. x² 7r

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A rocket Liquid Oxygen (LOX) tank is made by rotating the shape shown about the x axis.
Givenr=3 m and L=5.5 m determine the centroid of the shape shown.
L
y=r
X
1:
m.
x²
7r
The area centrold location is X
Im and Y
What is the volume of the LOX tank made by rotating this area about the x axis?
The volume of the LOX tank is
m3
Assuming a uniform density, the x location of the center of gravity of the tank be the same as the x location centroid of the profile area
above. Click to select)
Transcribed Image Text:A rocket Liquid Oxygen (LOX) tank is made by rotating the shape shown about the x axis. Givenr=3 m and L=5.5 m determine the centroid of the shape shown. L y=r X 1: m. x² 7r The area centrold location is X Im and Y What is the volume of the LOX tank made by rotating this area about the x axis? The volume of the LOX tank is m3 Assuming a uniform density, the x location of the center of gravity of the tank be the same as the x location centroid of the profile area above. Click to select)
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