Taper angle refers to the angle between the tapered surface and the horizontal plane. To calculate the taper angle, you need to know the dimensions of the tapered object and the angle of the tapered surface.

Assuming that the tapered object has a uniform taper, the taper angle can be calculated using the following formula:

Taper angle = arctan ((D - d) / L)

where:

D is the diameter of the large end of the taper

d is the diameter of the small end of the taper

L is the length of the tapered surface

The arctan function returns the inverse tangent of the value in parentheses, which is expressed in radians. To convert the result to degrees, multiply it by 180/π.

For example, if the diameter of the large end of the taper is 10 cm, the diameter of the small end is 5 cm, and the length of the tapered surface is 20 cm, the taper angle can be calculated as follows:

Taper angle = arctan ((10 - 5) / 20) = arctan (0.25) = 0.24498 radians

To convert the result to degrees:

Taper angle in degrees = 0.24498 x 180/π = 14.036 degrees

Therefore, the taper angle is approximately 14.036 degrees.

A: The taper angle in a lathe can be calculated by dividing the difference in the diameter of the two ends of the taper by the length of the taper.

A: The taper length can be calculated by dividing the difference in the diameter of the two ends of the taper by the taper angle.