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Decagon Weight

Last modified by
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Jul 23, 2024, 9:39:49 AM
Created by
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Jul 23, 2024, 9:28:18 AM
`M = 5/2 * ( "s" )^2 * sqrt(5 +2sqrt(5)) * "h" * "mD" `
`(s)"Length of Sides"`
`(h)"Height of Column"`
`(mD)"Mean Density"`
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e57e0bb2-48d5-11ef-98f1-bc764e203090

This Weight of a Decagon calculator computes the mass or weight of a column with a regular decagon face, a polygon with 10 equal sides of length (s) and a height (h). /attachments/863f31c7-2f25-11e6-9770-bc764e2038f2/decagonVol.png  Regular Decagon Column

INSTRUCTIONS: Choose units and enter the following:

  • (s) Length of Sides
  • (h) Height of Decagon 
  • (mD) Mean Density

Decagon Mass (M): The mass is returned in kilograms.  However, this can be automatically converted into compatible units via the pull-down menu.

For the Area of a Decagon shaped surface, CLICK HERE.

The Math / Science

A regular decagon has ten equal sides and equal angles. The formula for the mass of a decagon shape is:

`M = 5/2 * s**2 * sqrt(5 +2sqrt(5)) * h * mD`

where:

  • M = Mass or Weight of decagon column
  • s = Side Length
  • h = Height of Shape
  • mD = Mean Density of material in shape


Decagon Calculators


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.



Weight is technically the downward force that a mass exerts based on the force of gravity and the mass of the object.  On the surface of the Earth, mass and weight are often interchanged.  In some places, objects are sold by the gram (mass), and in other locations, the same objects are sold by the ounce (weight).

The Weight Calculators use the dimensions of an object and its shape to compute the objects volume.  They then apply a density associated with a material to estimate the objects weight.


Weight Calculators


This equation, Decagon Weight, references 1 page
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