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Conic cylinder - weight

Last modified by
on
May 9, 2023, 4:19:56 PM
Created by
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Aug 22, 2014, 8:21:30 PM
`Volume = "mD" * V( d_1 , l_1 , d_2 , l_2 , d_3 , l_3 )`
`(d_1)"main cylinder diameter"`
`(d_2)"diameter of left end"`
`(d_3)"diameter of right end"`
`(l_1)"main cylinder length"`
`(l_2)"length of left end"`
`(l_3)"length of right end"`
`(mD)'mean density"`
Tags
Mass Euclidean Geometry (3D) Weight capsule cone ended cylinder
UUID
e6aca465-2a39-11e4-b7aa-bc764e2038f2

The Mass of a Conic Cylinder calculator computes the mass or weight of a cylinder with cone shaped (tapered) ends (see diagram).  /attachments/e6aca465-2a39-11e4-b7aa-bc764e2038f2/Coniccylinderweight-illustration.png Conic Cylinder 

INSTRUCTIONS: Choose the preferred units and enter the following:

  • (d1) Main Cylinder Diameter
  • (d2) Diameter Left End
  • (d3) Diameter of Right End
  • (l1) Length of Main Cylinder
  • (l2) Length of Left End
  • (l3) Length of Right End
  • (mD) Mean Density of Solid or Full Conic Cylinder.

Conic Cylinder Mass: The calculator returns the volume in cubic meters.  However, this can be automatically converted to other volume units (e.g. gallons) via the pull-down menu.

Related Calculators:

The Math / Science

Geometrically, a conic cylinder is a cylinder of any length (l) with a conic frustum on both ends.   There are three radii and three lengths. See diagram.  Therefore, the volume of the conic cylinder is the sum of the following:

This is the formula for the mass or weight of a cone ended cylinder.  Geometrically, this is a cylinder of any length (l) with a conic torus on both ends.   There are three radii and three lengths. See diagram.  The calculated volume is multiplied by a mean density (mD) to provide the mass of the object.  Assuming standard earth gravity at sea level, the mass can be converted to weight.

Mean Density Table

Common Mean Densities in Kilograms per Meter Cubed (kg/m3)

Fluids

  • Pure Water - 1,000  
  • Seawater - 1,022  
  • Milk - 1,037 
  • Olive Oil - 860
  • Cement Slurry - 1,442 

Fuels

  • Diesel Fuel - 885 
  • Crude Oil - 870 to 920  
  • Fuel Oil -  890  
  • Ethanol - 789  
  • Gasoline (petrol) - 737 
  • Propane - 493 
  • Liquid Natural Gas - 430 to 470 

Market-Ready Grains

 

Metals

Earthen

  • Concrete - 2,371
  • Dirt - 1,250
  • Fire Clay - 1,362
  • Glass - 2,500
  • Granite - 2,691
  • Sand (dry) - 1,602
  • Sand (wet) - 2,082
  • Sandstone - 2,323

Synthetic

  • Bakelite - 1,362
  • Carbon Fiber - 2,000

Organic

  • Balsa - 170
  • Cork - 240
  • Mahogany - 545
  • Oak - 760
  • Pine - 539
  • Rubber - 1,522
                 Mean Density Lookup Function

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)

If you want to identify a material by its density, use the Density Within Range tool.
This equation, Conic cylinder - weight, references 1 page
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