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Capsule - weight

Last modified by
on
May 9, 2023, 3:58:56 PM
Created by
on
Aug 21, 2014, 6:31:50 PM
M=mD⋅π⋅r2⋅(l-23⋅r)
(r)radius of capsule
(l)length of capsule
(mD)mean density
Tags
Mass Euclidean Geometry (3D) Weight spherocylinder capsule 3D
UUID
6abbba21-2961-11e4-b7aa-bc764e2038f2

The Weight (Mass) of a Capsule calculator computes mass or weight of a capsule, also known as a spherocylinder./attachments/6abbba21-2961-11e4-b7aa-bc764e2038f2/Capsuleweight-illustration.png         Capsule - Spherocylinder  

INSTRUCTIONS: Choose units (e.g. meters or feet) and enter the following:

  • (r) Radius (half the diameter) of the spherical ends of the capsule.
  • (l) Length of Capsule.  Note, the length must be equal to or greater than two times the radius (2xr).
  • (mD) Mean density of the substance contained in the capsule.  [mD Lookup]

Capsule Mass (M): The calculator computes the mass in kilograms.  However this can be automatically converted in the many other mass or weight units (e.g. pounds, metric tons) via the pull-down menu.

Related Calculators

Note: the formula assumes hemispheres (half spheres) on either side of the capsule cylinder.

The Math

Geometrically, a capsule is a cylinder of any length (l) with two hemispheres on either end where the radius (r)  of the cylinder is equal to the radius of the hemispheres.  See diagram. 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 = density * volume

Uses of a Spherocylinder (Capsule)

Spherocylinders are found in many applications. The most common are in capsule containers such small pills and large containers such as liquid or gas transport containers.

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, Capsule - weight, is used in 4 pages
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