1:10 Taper Angle Calculator

Formula

The formula to calculate the 1:10 Taper Angle (TA) is:

\[ TA = \arctan \left( \frac{D_L - D_S}{2 \cdot L \cdot 10} \right) \times \left( \frac{180}{\pi} \right) \]

Where:

\( TA \) is the Taper Angle (degrees)
\( D_L \) is the Diameter at the Large End (mm)
\( D_S \) is the Diameter at the Small End (mm)
\( L \) is the Length of the Taper (mm)

1:10 Taper Angle Definition

A 1:10 taper angle describes the gradual decrease in diameter of a conical shape or the angle of the surface of a taper. It is a common specification in engineering for tapered pins, shafts, or holes, where the diameter decreases at a rate of 1 unit for every 10 units of length. This type of taper ensures a secure fit and easy assembly in mechanical components.

Example Calculation

Let's consider an example:

Diameter at Large End (D_L): 50 mm
Diameter at Small End (D_S): 40 mm
Length of Taper (L): 100 mm

Using the formula to calculate the 1:10 Taper Angle:

\[ TA = \arctan \left( \frac{50 - 40}{2 \cdot 100 \cdot 10} \right) \times \left( \frac{180}{\pi} \right) \approx 0.29 \, \text{degrees} \]

This demonstrates that with a diameter at the large end of 50 mm, a diameter at the small end of 40 mm, and a length of taper of 100 mm, the taper angle would be approximately 0.29 degrees.