Utente:Andrea And/Sandbox/3: differenze tra le versioni

Versione delle 12:47, 4 lug 2012

Versione delle 12:55, 4 lug 2012

Riga 57:

| con a density of ''ρ'' e the same geometry <math>I_z = \frac{1}{2} \pi\rho h\left({r_2}^4 - {r_1}^4\right)</math> <math>I_x = I_y = \frac{1}{12} \pi\rho h\left(3({r_2}^4 - {r_1}^4)+h^2({r_2}^2 - {r_1}^2)\right)</math>

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| [[SphereSfera]] (hollowcava) di raggio ''r'' e massa ''m''

|align="center"| [[Image:moment of inertia hollow sphere.svg|170px]]

|<math>I = \frac{2 m r^2}{3}\,\!</math>&nbsp;&nbsp;<ref name="serway"/>

| A hollow sphere can be taken to be made up of two stacks of infinitesimally thin, circular hoops, where the radius differs from ''0'' to ''r'' (or a single stack, , where the radius differs from ''-r'' to ''r'').

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| [[ball (mathematics)|BallSfera]] (solidpiena) di raggio ''r'' e massa ''m''

|align="center"| [[Image:moment of inertia solid sphere.svg|170px]]

|<math>I = \frac{2 m r^2}{5}\,\!</math>&nbsp;&nbsp;<ref name="serway"/>