The purpose of measuring taper angle is to obtain taper angle
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The taper angle is the angle where a thread is tapered as it is created. The formula to find it is to subtract the small diameter from the large diameter and multiply by 28, then divide by the length of the taper.
Ovality and Taper Guages are used
Metric Taper Call Out - Means 1 mm taper every 5 mm of length.
Let's start at the beginning of the taper, where the opening is zero, and go out a foot until it opens to 3/4 inch. We have a long skinny triangle. The line down the middle is 1 ft long, the line that closes off the open end is 1-1/2 inches. The line down the middle divides the long skinny triangle into 2 back-to-back right triangles. Each one has a 12-inch leg and a 3/4-inch leg. The angle back at the pointy starting end of each triangle is half of the angle we're looking for. That [half]-angle is tan-1(.75/12) = tan-1(0.0625) = 3.576 degrees (rounded) The whole angle is 7.153 degrees (rounded)
They are solid shapes that taper to a point.