Calculating Gravitational Energy

AI Thread Summary
The discussion revolves around an equation derived from multiplying angular acceleration by the surface area of a sphere, which the author claims represents energy. However, it is clarified that while the dimensions may align with energy, the equation does not inherently describe gravitational energy. Instead, it relates to the work done in accelerating a thin spherical shell. The conversation emphasizes the importance of understanding the context and physical meaning behind equations, as dimensional analysis alone does not confirm their applicability. Ultimately, the equation may represent work rather than gravitational energy.
Bravodhan
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When I multiplied angular accelaration with surface area of sphere .I got an equation for energy.

What do this equation mean by?
Is this equation describe gravitational energy?
 
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Can you post the equations you used and the problem they were used in?
 
But dimensionally this equation is correct.
 
Angular accelaration*surface area of a sphere = Energy
Angular velocity/time*4(pi)r2=Energy

Dimensional formula:-
M0 L0 T-2 * M L2 T0 = M L2 T-2

M L2 T-2 = Energy

I take this energy equation in terms of planetry motion .
 
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The fact that something has dimensions of energy doesn't make it an energy. Torque, for example.
 
First, if its truly surface area, you get M0 not M. The whole equation is massless.
The way you have written it, it is the mass of a thin spherical shell times the angular acceleration.

Second, Work also has the dimensions of Energy. I think your equation gives you the amount of work expended to accelerate (spin up or spin down) the thin spherical shell by that much.

Jim Graber
 
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