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Cylinder Weight

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Last modified by
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Jul 20, 2024, 10:02:57 PM
Created by
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Jun 30, 2014, 2:29:00 PM
`Wt = [pi * "r" ^2 * "h" ] * 7850 `
`(h) "Height"`
`(r) "Radius"`
`(mD) "mean density"`

The Weight of a Cylinder calculator computes the weight (mass) of a cylinder based on the radius (r) and height of the cylinder (h), and the density of the material (mD).  NEW: Weight of Steel Cylinders using millimeters and density of steel./attachments/e07a8e3d-0062-11e4-b7aa-bc764e2038f2/CylinderWeight-illustration.png

INSTRUCTIONS: Choose units and enter the following:

Weight of Cylinder (Wt):  The weight / mass is returned in kilograms, with the volume of the cylinder in cubic meters.  However, these can be automatically converted to compatible units via the pull-down menu.

The Math / Science

The weight or mass of a right circular cylinder formula computes the mass of a right cylinder as a function of the mean density (mD) of the composition and the volume calculated using the radius (r) of the base and the height (h).   The default results will be in kilograms but can be converted to any of the system provided units. The formula for the weight of a cylinder is:

Wt=[π⋅r2⋅h]⋅mD

where:

  • Wt = weight of the cylinder
  • r = radius of cylinder
  • h = height of cylinder
  • mD = mean density of the material in the cylinder. 

The formula to compute the volume of the geometric shape based on the input parameters.  Using the volume of a cylinder, the formula for mass from volume and density:

M = V • mD

where:


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


Cylinder Calculators

  1. Cylinder Side Area: Computes the surface area of the sides of a cylinder based on height and radius.
  2. Cylinder Surface Area: Computes the total surface area of a cylinder including sides, top and bottom.
  3. Cylinder Volume: Computes the volume of a cylinder based on cylinder height and radius.
  4. Cylinder Volume from Height and CircumferenceComputes the volume of a cylinder based on the height and circumference.  It also returns the diameter of the cylinder. 
  5. Cylinder Height: Computes the height of a cylinder based on the volume and radius. 
  6. Cylinder Radius: Computes the radius and diameter of a cylinder based on the volume and height.
  7. Cylinder Weight: Computes the weight, mass and volume of a cylinder based on the height, radius and density.
  8. Cylinder Mass  Computes the mass of a cylinder based on the radius and height and mean density of the cylinder.  
  9. Volume in Horizontal Cylinder: Computes partial volume of a horizontal circular cylinder based on the radius and length of the cylinder and the vertical height of the contents in the cylinder (see diagram).
  10. Cylinder Density: Computes the mean density of a cylinder based on the mass and computed volume from the radius and height.
  11. Slanted Cylinder Surface Area: Computes the surface area of a slanted cylinder based on the radius and side length (L).
  12. Slanted Cylinder Area from AngleComputes the lateral area (surface area of the sides) of a slanted cylinder based on its radius, height and slant angle (θ).
  13. Slanted Cylinder Volume: Computes the volume of a slanted cylinder based on the radius of the base, side length and slant angle.
  14. Slanted Cylinder WeightComputes the weight or mass of a slanted cylinder based on the radius, side length, slant angle and density.
  15. Cylinder MoI about Central AxisComputes the moment of inertia of a cylinder about its central axis based on the mass and radius.
  16. Cylinder MoI about the EndComputes the moment of inertia of a solid circular cylinder of uniform density about an axis along the diameter of the cylinder at one end.
  17. Cylinder MoI Perpendicular to Axis: Computes the moment of inertia of a solid circular cylinder of uniform density about an axis perpendicular to the axis of the cylinder and through the center of mass.


This equation, Cylinder Weight, is used in 9 pages
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