Work out taper ratio, taper angle and included angle from the three dimensions you can measure — large end, small end and taper length. Used for Morse tapers, tool shanks and turned taper work.
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Request a Proposal →A taper is a gradual decrease in diameter along a length. It is defined by the difference between large and small diameters divided by the length. Taper is expressed as a ratio (e.g., 1:16 for NPT) or as an angle.
Taper ratio is the diameter change per unit length (e.g., 1:16 means 1 mm diameter change per 16 mm of length). Taper angle is the half-angle from the axis (degrees). For a 1:16 taper, the included angle is ~3.58 deg .
Use G01 with X and Z coordinates, or G90 with an R value for canned taper turning. The R value is the radial difference between start and end diameters divided by 2. For precise tapers, use a taper attachment or program incremental moves.
Yes -- use two indicators: measure diameters at two known axial positions with a micrometer or dial caliper. Divide the difference by the distance between measurements. For precision tapers, use sine bar or dedicated taper gauge.
Enter the large diameter, small diameter, and the length between them. The calculator gives the taper ratio (e.g., 1:16), taper angle per side, and included angle. Use this to set up taper turning operations or verify machined tapers.
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WORKING OUT A TAPER? Tapers get specified in several different conventions, which is exactly how wrong goods get shipped. See how to write an unambiguous specification.
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