V-Bit Depth Calculator

For a V-bit with a sharp tip, depth = (line width ÷ 2) ÷ tan(half the included angle); a 60° bit cuts a 0.5 in line at 0.433 in deep.

Find
°
Total angle between the two cutting flanks: 60° and 90° are common.
in
Use 0 for a sharp point. Many bits have a small flat at the tip.
in
Used when finding depth.
in
Used when finding width.
Cut depth
0.433in
Line width at the surface0.5 in

Show the math

Half-angle = 30°, tan = 0.5774
Depth = (0.5 − 0) ÷ (2 × 0.5774) = 0.433 in

Rounded the same way as the result above.

How it works

A V-bit cuts a triangular groove. Its two flanks meet at the included angle, so the groove widens by 2 × tan(half-angle) for every unit of depth. That means the width at the surface is a fixed multiple of the depth.

Solving for depth gives the depth a chosen line width needs; solving the other way shows what a set depth will cut. A bit with a flat tip starts with that width at zero depth, which is subtracted first.

Width = tip + 2 × depth × tan(angle ÷ 2) Depth = (width − tip) ÷ (2 × tan(angle ÷ 2))

Worked example

A 60° V-bit with a sharp tip cutting a 0.5 in wide line:

  1. Half-angle = 30°, tan = 0.5774
  2. Depth = (0.5 − 0) ÷ (2 × 0.5774) = 0.433 in
InputValue
FindDepth for a line width
Included angle of the bit60 °
Flat tip width0 in
Line width wanted (find depth)0.5 in
Cut depth (find width)0.25 in
ResultValue
Cut depth0.433 in
Line width at the surface0.5 in

Assumptions and limits

  • Uses the bit’s nominal included angle and tip width from the maker’s data. Worn or mis-ground bits differ.
  • Ignores bit deflection and wood springback; measure a test cut.
  • Depth is the cut depth of the tip below the surface. Flat-tip bits and stepovers in V-carve software may work differently.

Common questions

How deep should I cut with a 60 degree V-bit?

For a sharp tip, the depth is 0.866 times the line width. A 1/2 in line needs 0.433 in.

How deep for a 90 degree V-bit?

Depth is half the line width, so the groove is as deep as it is wide on each side.

What does the flat tip do?

It adds a fixed width at the bottom of the groove. The calculator accounts for it in both directions.

Does this work for a chamfer bit?

Yes for the same geometry: use the bit’s included angle, and depth from the width of the chamfer measured across the groove.

Sources

  • Right-triangle geometry of a V-groove; the same relation V-carve software uses to set depth from width.

Updated 2026-09-30