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Therefore, as the body accumulates matter at a given fixed density (in this example, 997 kg/m 3, the density of water), its Schwarzschild radius will increase more quickly than its physical radius. When a body of this density has grown to around 136 million solar masses (1.36 × 10 8 M ☉ ), its physical radius would be overtaken by its ...
The Wigner–Seitz radius, named after Eugene Wigner and Frederick Seitz, is the radius of a sphere whose volume is equal to the mean volume per atom in a solid (for first group metals). [1] In the more general case of metals having more valence electrons, r s {\displaystyle r_{\rm {s}}} is the radius of a sphere whose volume is equal to the ...
^ Volume V derived from the radius using =, assuming sphericity. ^ Density derived from the mass divided by the volume. ^ Surface gravity derived from the mass m, the gravitational constant G and the radius r: Gm/r 2.
The formula for Jeans length is: = /, where is the Boltzmann constant, is the temperature of the cloud, is the mean molecular weight of the particles, is the gravitational constant, and is the cloud's mass density (i.e. the cloud's mass divided by the cloud's volume).
In that case, the specific volume would equal 0.4672 in 3 /lb. However, if the temperature is changed to 1160 °R, the specific volume of the super heated steam would have changed to 0.2765 in 3 /lb, which is a 59% overall change. Knowing the specific volumes of two or more substances allows one to find useful information for certain applications.
Dimensionless numbers (or characteristic numbers) have an important role in analyzing the behavior of fluids and their flow as well as in other transport phenomena. [1] They include the Reynolds and the Mach numbers, which describe as ratios the relative magnitude of fluid and physical system characteristics, such as density, viscosity, speed of sound, and flow speed.
For example, the fact that Earth is a gravitationally-bound sphere of its current size costs 2.494 21 × 10 15 kg of mass (roughly one fourth the mass of Phobos – see above for the same value in Joules), and if its atoms were sparse over an arbitrarily large volume the Earth would weigh its current mass plus 2.494 21 × 10 15 kg kilograms ...
Finally, by the virial theorem, the total kinetic energy is equal to half the gravitational potential energy E G, so if the average nuclei mass is m n, then the average kinetic energy per nucleus satisfies: = = where the temperature T is averaged over the star and C is a factor of order one related to the stellar structure and can be estimated ...