Helix Length

The Length of a Helix calculator computes the linear length of a spiral or helix where the helix is pulled into a straight line. 

INSTRUCTIONS: Choose units and enter the following:

• (H) Height 
• (P) Pitch: distance between turns
• (D) Diameter

Length of Helix (L): The calculator returns the length of the helix in meters.  However this can be automatically converted to compatible units via the pull-down menu.

The Math / Science

The formula for the length of a helix is:

      `L = H/P * sqrt( (pi*D)^2 + P^2)`

where:

• L = Length of Helix
• H = Height of Helix
• P = Pitch of Helix
• D = Diameter of Helix

Note: The number of turns (n) is equal to (H/P)

A HELIX is a three dimensional spiraling circular object.  The most common application of the helix shape is in the common spring.  A helix has a height or length, diameter and pitch, where pitch is the measurement between the spirals (see diagram).

Helix Calculators:

• Length of Helix - Computes the length of the material composing the helix if elongated.
• Height of Helix - Computes the height of a helix based on length of material, pitch and diameter.
• Volume of Helix - Computes the total displacement of helix cylinder and the displacement of the helix material as if in liquid.