The Torus Weight (Mass) calculator computes the weight or mass of a torus (circular tube) with an inner radius of (a), an outer radius of (b) and a mean density (mD). Torus - Circular Tube
INSTRUCTIONS: Choose units and enter the following:
Torus Mass / Weight (M):. The calculator returns the mass in kilograms. However, this can be automatically converted to compatible units via the pull-down menu.
This 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.
`mass = mu_(density) * volume`
|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.
CLICK HERE for a pop-up function that provides the mean density (mD or μD) of many common substances, elements, liquids and materials.
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.