The Chamfer Weight(Mass) formula computes the mass or weight of a (light grey area) of a right circular cone within a cone frustum.
INSTRUCTIONS: Choose units and enter the following:
- (a) Radius of Cone
- (b) Radius of Core
- (h) Height
- (mD) Mean Density of Material (Default is 7850 kg/m3 for steel)
Mass or Weight of Chamfer (m): The calculator returns the mass in grams. However, this can be automatically converted to compatible units via the pull-down menu.
The Math / Science
A chamfer is a cone with a removed core. It is geometrically defined by base radius (a) and top radius (b) and height (h) in between where the cylindrical core (dark grey area) has been removed. This formula is simply the volume of the frustum of a cone minus the volume of a cylinder that would inscribe it and then a mean density (mD) to develop the mass.
Mean Density Units
Common Mean Densities |
Fluids
- Pure Water - 1,000 kg/m³
- Seawater - 1,022 kg/m³
- Milk - 1,037 kg/m³
- Olive Oil - 860 kg/m³
- Cement Slurry - 1,442 kg/m³
Fuels
- Diesel Fuel - 885 kg/m³
- Crude Oil - 870 kg/m³ to 920 kg/m³
- Fuel Oil - 890 kg/m³
- Ethanol - 789 kg/m³
- Gasoline (petrol) - 737 kg/m³
- Propane - 493 kg/m3
- Liquid Natural Gas - 430 to 470 kg/m3
Market-Ready Grains
- Corn - 56 lb/bu (721 kg/m3)
- Wheat - 60 lb/bu (772 kg/m3)
- Barley - 48 lb/bu (618 kg/m3)
- Oats - 32 lb/bu (412 kg/m3)
- Rye - 56 lb/bu (721 kg/m3)
- Soybean - 60 lb/bu (772 kg/m3)
|
Metals
- Density of Aluminum - 2,700 kg/m3
- Density of Brass - 8,530 kg/m3
- Density of Bronze - 8,150 kg/m3
- Density of Chromium - 7190 kg/m3
- Density of Cobalt - 8746 kg/m3
- Density of Copper - 8,920 kg/m3
- Density of Gallium - 5907 kg/m3
- Density of Gold - 19,300 kg/m3
- Density of Iron - 7,847 kg/m3
- Density of Lead - 11,340 kg/m3
- Density of Nickle - 8,908 kg/m3
- Density of Palladium - 12,023 kg/m3
- Density of Platinum - 21,450 kg/m3
- Density of Steel - 7,850 kg/m3
- Density of Silver - 10,490 kg/m3
- Density of Titanium - 4,500 kg/m3
- Density of Tungsten - 19,600 kg/m3
- Density of Uranium - 19,050 kg/m3
- Density of Zinc - 7,135 kg/m3
- Density of Zirconium - 6,570 kg/m³
|
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:
- kilograms per cubic meter (kg/m3)
- grams per cubic centimeter (g/cm3)
- grams per liter (g/L)
- pounds per cubic feet (lb/ft3)
- ounces per cubic inch (oz/in3)
- pounds per barrel (lb/bbl)
- pounds per bushel (lb/bu)
vCalc provides for automatic conversions between density units via the pull-down menus.