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How to Calculate Conical Taper

    • 1). Convert the units of the conical taper so that all units are the same. If the taper unit is inches per foot, divide by 12 to make it inches per inch. Three inches per one foot would equal 0.25 inches per inch.

    • 2). Visualize a cross section of the cone with the length being the height and the diameter being the base. The point of the cone is at the top of the triangle. The conical angle is the angle formed at the top of the triangle when a line is drawn straight down the center forming two right triangles.

    • 3). Calculate the tangent of this angle by dividing half of the base distance of the original triangle by the height. For a conical taper of 0.25 inches per inch, divide 0.125 by 1. This equals 0.125 inches.

    • 4). Use a trigonometric calculator or trigonometric tables to find the angle with the tangent you calculated. The angle with a tangent of 0.125 inches is 7.12 degrees. This is the conical taper expressed as an angle.

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