Bulk modulus of gases

The bulk modulus of a gas is a measure of the gas’s resistance to compression. It is defined as the ratio of the change in pressure to the fractional change in volume, under conditions of constant temperature. For an ideal gas, the bulk modulus can be calculated using the ideal gas law, which relates the…

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Moment of inertia of uniform bodies with simple geometrical shapes

The moment of inertia of a uniform body with a simple geometrical shape depends on the distribution of mass within the body and the shape of the body itself. Here are some common examples: I = (1/12)ML^2 I = (1/2)MR^2 I = (1/2)M(R2^2 + R1^2) I = (2/5)MR^2 I = (2/3)M(R2^3 – R1^3)/(R2 – R1)…

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