Figure 1 shows a cube floating in a fluid. a) Derive an expression relating the submerged depth X, the specific weight of the cube, and the specific weight of the fluid. b) Derive an expression for the depth of submergence X that would ensure that the cube is stable in the position shown. c) Using the expression derived in (b), determine the required distance X for a cube 75 mm on a side.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
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Author:Kreith, Frank; Manglik, Raj M.
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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.5P: Evaluate the dimensionless groups hcD/k,UD/, and cp/k for water, n-butyl alcohol, mercury, hydrogen,...
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A
.....
2
3
Fluid
surface
1) Figure 1 shows a cube floating in a fluid.
a) Derive an expression relating the submerged depth X, the specific weight of the cube, and the
specific weight of the fluid.
b)
Derive an expression for the depth of submergence X that would ensure that the cube is stable
in the position shown.
c)
S
4.5
Using the expression derived in (b), determine the required distance X for a cube 75 mm on a
side.
S
6I
Figure 1: Cube floating on fluid for problem - 1.
Transcribed Image Text:A ..... 2 3 Fluid surface 1) Figure 1 shows a cube floating in a fluid. a) Derive an expression relating the submerged depth X, the specific weight of the cube, and the specific weight of the fluid. b) Derive an expression for the depth of submergence X that would ensure that the cube is stable in the position shown. c) S 4.5 Using the expression derived in (b), determine the required distance X for a cube 75 mm on a side. S 6I Figure 1: Cube floating on fluid for problem - 1.
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