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Hendecagon Weight

Last modified by
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Jul 23, 2024, 9:26:12 AM
Created by
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Jul 23, 2024, 9:09:11 AM
`V = 11/4 * ( "s" )^2 * cot(pi/11) * "h" `
`(s)"Length of the side"`
`(h)"Height of the column"`
`(mD)"Mean Density"`
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39f790d0-48d3-11ef-98f1-bc764e203090

This Weight of a Hendecagon calculator computes the weight a column with a regular hendecagon face, a polygon with 11 equal sides of length (s) and a height (h) that has a mean density. /attachments/20f2a91c-2f27-11e6-9770-bc764e2038f2/HendecagonVol.png  Regular Hendecagon Column

INSTRUCTONS: Choose units and enter the following:

  • (s) Length of Hendecagon Sides
  • (h) Height of Hendecagon Column
  • (mD) Mean Density of Material

Mass of a Hendecagon Column (M): The mass / weight is returned in kilograms.  However volume can be automatically converted into compatible units via the pull-down menu.

The Math / Science

A regular hendecagon has eleven equal sides and equal angles.  The formula for the weight or mass of a hendecagon column is:

M = 11/4•cot(π/11)•s2•h⋅mD

where:

  • M = mass of hendecagon column
  • s - length of the side
  • h - height of column
  • mD = Mean Density of Material


Hendecagon Calculator Information


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, Hendecagon Weight, references 1 page
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