The Volume of a Helix calculator computes the bulk volume of a spiral or helix based on the dimensions and the displacement of the helix material as if the helix was placed in a fluid.
INSTRUCTIONS: Choose units and enter the following:
- (H) Helix Height
- (P) Helix Pitch: distance between turns
- (D) Helix Diameter
- (SD) Strand Diameter
Volume of Helix (V): The calculator returns:
- (HV) Helix Bulk Volume of the helix .
- (HD) Helix Material Displacement, as if the helix was place in a fluid.
Both volumes are returned in cubic centimeters. However these can be automatically converted to compatible units via the pull-down menu.
The Math / Science
The bulk volume of a helix is the equivalent to the volume of a cylinder in which the helix could fit. The formula for the volume a helix is:
`HV = pi(D/2)^2*H`
where:
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)
The Helix Displacement is:
`HD = pi*((SV)/2)^2 * L`
where:
- HD - Helix material displacement
- SD - Strand Diameter. This would be the diameter of the spring material.
- L - Elongated Length of Helix
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.