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The Jacobs Taper (abbreviated JT) is commonly used to secure drill press chucks to an arbor. The taper angles are not consistent varying from 1.41° per side for No. 0 (and the obscure # 2 + 1 ⁄ 2) to 2.33° per side for No. 2 (and No. 2 short). There are also several sizes between No. 2 and No. 3: No. 2 short, No. 6 and No. 33.
The chuck may be held against the taper with a threaded retainer ring (large thin nut), typically wrenched with a spanner wrench of the pin or hook variety. The peak of popularity for building this type of spindle nose was the 1940s and 1950s. The chuck may be held against the taper with cam-lock posts that wedge into a stuck-fast position.
The taper is the change in the size of the diameter as you travel down the axis of the taper. So, take 1/2 the change size (1.75") and divide that by 12", arctan of the result is 1/2 the included angle. So 16.5942899... is correct. —Preceding unsigned comment added by SamELLI (talk • contribs) 17:45, 29 April 2008 (UTC) D'oh!
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This feature gives the taper tap a very gradual cutting action that is less aggressive than that of the plug tap. The number of tapered threads typically ranges from 8 to 10. [2] A taper tap is most often used when the material is difficult to work (e.g., alloy steel) or the tap is of a very small diameter and thus prone to breakage. Power taps
For Morse taper-shank drill bits, the standard continues in 1/64 inch increments up to 1¾ inch, then 1/32 inch increments up to 2¼ inch, 1/16 inch increments up to 3 inches, 1/8 inch increments up to 3¼ inches, and a single 1/4 inch increment to 3½ inches. One aspect of this method of sizing is that the size increment between drill bits ...
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Over time, various chuck designs have been invented, and modern chucks can grasp and drive this shank effectively. It has been difficult to find a reference to the included angle of the taper, but 7 different bits were measured, and they all had an included angle of 8 ± 0.25 degrees. Easy to make in a forge