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`M = (1/4 * "n" * ( s )^2 cot(pi/ "n" )) * h * "mD" `
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This Mass of a Polygon Based Column calculator computes the mass or weight of a column where the base is the area of a regular polygon with (n) equal sides of length (s), the height (h) of the column, and mean density of the substance of the column.
Regular Polygon Column
INSTRUCTIONS: Choose units and enter the following:
- n - the number of sides of the regular polygon
- s - the length of a side of the polygon
- h - height of the polygon column
- (mD) This is the mean density of the material comprising the column.
Mass of the Column (M): The mass of the column is returned in kilograms. However, this can be automatically converted to other units via the pull-down menu.
The Math / Science
The mass of a polygon columns is the volume of the polygon column time the mean density of the material comprising the column.