Enter your Large End Diameter, Small End Diameter, and Taper Length into the Taper Calculator to find the Taper Angle and Taper Per Foot — or work backwards from any known values to solve for missing dimensions in your chosen unit system.
Taper Angle
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Large Diameter
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Small Diameter
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Taper Length
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Taper Per Foot
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Taper Per Inch
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A taper is a gradual change in diameter or width along the length of a workpiece, creating a conical shape. It's commonly used in drill chucks, arbors, and various mechanical components to provide secure fitting and easy assembly.
Taper per foot is calculated by dividing the difference between the large and small diameters by the length in feet. The formula is: Taper per foot = (Large Diameter - Small Diameter) ÷ (Length in feet).
A taper of 1 in 48 means the diameter decreases by 1 unit for every 48 units of length. This is equivalent to approximately 0.021 inches per inch or 1.2° taper angle.
Taper per inch is calculated by dividing the difference in diameters by the total length in inches. Formula: TPI = (Large Diameter - Small Diameter) ÷ Length in inches.
Taper angle is calculated using the arctangent function: Angle = arctan((Large Diameter - Small Diameter) ÷ (2 × Length)). This gives the half-angle of the taper in degrees.
Common taper types include Morse tapers (machine tools), Brown & Sharpe tapers (milling machines), Jarno tapers (lathes), and standard pipe tapers. Each has specific angles and applications in manufacturing.
Yes, if you know any three of the four main parameters (large diameter, small diameter, length, and taper rate), you can calculate the fourth using taper formulas and geometric relationships.