The Weight or Mass of an Ellipsoid calculator computes the weight or mass of an ellipsoid with semi-axes of lengths a, b, and c (see diagram), where the composition of the ellipsoid has a mean density (mD).
INSTRUCTIONS: Choose units and enter the following:
Mass of Ellipsoid (m): The mass of the ellipsoid is returned in kilograms. However, this can be automatically converted to other mass and weight units (e.g. pounds, tons, grams) via the pull-down menu.
The formula for the mass or weight of an ellipsoid is:
`m =[4/3 * pi *a*b*c]*mD`
The formula computes the volume of the geometric shape based on the input parameters. With the computed volume, this formula then executes the simple equation below to compute the approximate mass of the object.
|Common Mean Densities|
Mean Density is the average amount of mass within a volume for a substance. Note, volume of a material is often highly subject to the temperatures, since materials expand as they warm. For that reason, mean densities of substances are often cited with a set of nominal conditions such as temperature and barometric pressure.
The formula for mean density is:
μD = V / m
Mean density is also often indicated as the Greek symbol rho (ρ).
Density is a function of mass. However, converting from mass to weight is trivial under the right conditions. Fortunately those conditions are generally true anywhere on the surface of the Earth, so the conversions built into the vCalc engine can be assumed to be fairly accurate unless you require weight at very high altitudes or in space.
The mean density (mD or μD) of many common substances, elements, liquids and materials can be found by clicking HERE .
Mean density is scientifically volume divided by mass. There are various unit for density adopted by cultures and industries. Common units for density included the following:
vCalc provides for automatic conversions between density units via the pull-down menus.