Enter the diameters at the large and small ends and the length of the taper into the calculator to determine the taper angle for a 1:10 taper. The taper angle is calculated in degrees.

## 1:10 Taper Angle Formula

The following formula is used to calculate the 1:10 taper angle.

TA = atan((D_L - D_S) / (2 * L * 10)) * (180 / π)

Variables:

- 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)

To calculate the 1:10 taper angle, use the arctangent function to find the angle in radians and then convert it to degrees. The taper ratio of 1:10 means that for every 10 units of length, the diameter changes by 1 unit.

## What is a 1:10 Taper Angle?

A 1:10 taper angle is used to describe 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.

## How to Calculate a 1:10 Taper Angle?

The following steps outline how to calculate the 1:10 Taper Angle.

- First, measure the diameter at the large end (D_L) in millimeters.
- Next, measure the diameter at the small end (D_S) in millimeters.
- Then, measure the length of the taper (L) in millimeters.
- Use the formula TA = atan((D_L – D_S) / (2 * L * 10)) * (180 / π) to calculate the taper angle (TA) in degrees.
- After inserting the variables and calculating the result, check your answer with the calculator above.

**Example Problem : **

Use the following variables as an example problem to test your knowledge.

Diameter at Large End (D_L) = 50 mm

Diameter at Small End (D_S) = 40 mm

Length (L) = 100 mm