Helix Angle for Multi-Threaded Screw Calculator

Calculate Helix Angle







Formula

The formula to calculate the Helix Angle is:

\[ \psi = \tan^{-1}\left(\frac{n \cdot P_{\text{screw}}}{\pi \cdot d}\right) \]

Definition

Helix Angle is the angle between any helix and an axial line on its right, circular cylinder, or cone.

Example Calculation

Let's assume the following values:

Using the formula:

\[ \psi = \tan^{-1}\left(\frac{16 \cdot 5}{\pi \cdot 0.06}\right) \approx 1.56844013666495 \text{ radians} \]

Conversion Chart

Number of Threads (n) Helix Angle (ψ)
10 1.567026433470052 radians
12 1.567654744476671 radians
14 1.568103539600398 radians
16 1.568440136664947 radians
18 1.568701934754844 radians
20 1.568911373435190 radians