How this calculation works
Find both curvature and signed torsion for a circular helix.
THE FORMULA
κ=r/(r²+b²), τ=b/(r²+b²)A worked example
Radius 3 and rise 4 per radian give curvature 3/25 and torsion 4/25.
Good to know
Rise per radian is pitch divided by 2π.
Reference: OpenStax Calculus Volume 3 (opens in a new tab) ↗
Read the result
Find both curvature and signed torsion for a circular helix.
The primary result is labeled “Curvature”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
Rise per radian is pitch divided by 2π.
For a related exercise, try the quadratic equation solver.
A few questions, answered
How can I check the default inputs by hand?
Radius 3 and rise 4 per radian give curvature 3/25 and torsion 4/25.
Which rule does this calculator apply?
κ=r/(r²+b²), τ=b/(r²+b²)