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Derive the expression for the pressure as a function of the radial distance from the center of a spherical planet of radius R and uniform density p.

Derive the expression for the pressure as a function of the radial distance from the center of a spherical planet of radius R and uniform density p.

Grade:upto college level

1 Answers

Deepak Patra
askIITians Faculty 471 Points
8 years ago
The spherical planet of radius R is shown below:
233-854_1.PNG
Consider an arbitrary point P at a depth y from the surface of the planet.
Assume that the planet is composed of fluid.
The gauge pressure at the point P is given by
233-938_1.PNG
233-2005_1.PNG
233-2129_1.PNG
233-2432_1.PNG

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