Angle of the Taper Examples

Finding the Angle of a Taper When the TPF is not Known

The angle of a taper can be found with the following formula.

D = diameter at large end

d = diameter at small end

TL = length of taper

Tangent of an angle = side opposite divided by the side adjacent.

A = the included angle of the taper

For the example above:

tan ½ A = .02600 This is the value you convert to an angle with your calculator or by lookup chart.

½ A = 1° 30"

A = 3°

Find the included angle when TPF is known

A = 3º 00'

Find the Taper per Foot if the Included Angle is Known

In this example the included angle is 3º

Angle A = 3º so 1/2 A is 1º 30' and the Tangent of 1º 30' is .02618,  therefore: