Heads up: This tool keeps fields in sync in real time. While you’re clearing a field, it may briefly refill. If anything seems off, try a quick refresh.

Taper Calculator

Solve taper per length, angle, or diameters — all fields stay in sync.

Major diameter (D_l)

Minor diameter (D_s)

Length of taper (T_l)

Taper angle (θ)

Taper (T)

Change units here to express the ratio, e.g., in per in or mm per m. Unit dropdown changes only convert this value locally.

Included angle (2θ): —

Taper per inch (TPI): — in / in

Taper per foot (TPF): — in / ft

Step-by-step derivation

Enter any three of {D_l, D_s, T_l} or provide θ or T; the calculator shows the rest here.

References

Geometry of machine tapers: (T = frac{D_l - D_s}{T_l}), (theta=arctan!frac{D_l-D_s}{2T_l}).
Standard convention: θ is the half-angle to the centerline (included angle is 2θ).

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