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Calcimator

Turning Tool Angle Calculator

Bevel angle and presentation angle for different tools.

About this calculator

Every woodturning tool cuts by "riding its bevel" against the workpiece, so the ground bevel angle is the single most important geometry decision you'll make at the grinder, and it varies a lot by tool. This calculator holds standard bevel-angle presets for seven tool types — from a skew chisel's low 25-30° (thin and keen, but fragile) up through a scraper's blunt 70-80° (durable but leaves a rougher cut) — and lets you override any preset with a custom angle if you regrind to your own preference. From whichever bevel angle applies, it derives the clearance angle as simply 90° minus the bevel, which matters most for scraper geometry where that clearance determines whether the tool rubs or digs in.

It also estimates an ideal tool rest height: scrapers work best with the tip presented right at center height, while gouges with steeper bevels (over 40°) want the rest set slightly below center so the handle can be raised to engage the bevel properly during a cut. For bowl gouges specifically, it flags the "Irish grind" — swept-back wings ground about 10° steeper than the nose angle — which is what lets a gouge shear-cut smoothly across curved bowl interiors. Finally, it estimates how far the tool should project from a Wolverine-style sharpening jig to reproduce that bevel angle consistently, using a simple trigonometric approximation (2.5 ÷ tan(bevel angle)) calibrated to common jig geometry — treat this as a starting point to fine-tune against your own jig's actual setup, not an exact spec.

Inputs

in
in
in

Results

Bevel angle (deg)

50

Grind range min (deg)45
Grind range max (deg)55
Clearance angle (deg)40
Ideal rest height (in)5.5
Wing grind angle (deg)60
Jig projection (in)2.1
Rest Below Center0.5
How to Use This Calculator
  1. Select the Tool type from the dropdown, and enter Custom bevel angle (deg) and Workpiece diameter (in).
  2. Set Lathe center height (in) and Tool rest height (in).
  3. Review the Bevel angle (deg) result.
  4. Use Grind range min (deg) and Grind range max (deg) to inform your decision.

What each input means

Tool type
The woodturning tool to find the bevel angle for.
Custom bevel angle (deg)
Override the preset bevel angle. Leave at 0 to use the standard angle for the selected tool.
Workpiece diameter (in)
Diameter of the piece being turned (affects surface curvature).
Lathe center height (in)
Height of the lathe spindle center from your reference point.
Tool rest height (in)
Current height of the tool rest top.

What each result means

Bevel angle (deg)
The grinding/sharpening angle for this tool.
Grind range min (deg)
Minimum recommended bevel angle for this tool type.
Grind range max (deg)
Maximum recommended bevel angle for this tool type.
Clearance angle (deg)
Complementary angle (90 - bevel) relevant for scraper geometry.
Ideal rest height (in)
Recommended tool rest height for this tool (slightly below center for gouges, at center for scrapers).
Wing grind angle (deg)
Swept-back wing angle for bowl gouges (Irish grind). 0 if not applicable.
Jig projection (in)
Approximate tool projection from a Wolverine-style sharpening jig.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Tool type = 0, Custom bevel angle (deg) = 0, Workpiece diameter (in) = 8, Lathe center height (in) = 6 = 5 input(s) provided
  2. Calculate Bevel angle
    50 = 50
  3. Calculate Grind range min
    Grind range min
    45 = 45
  4. Calculate Grind range max
    Grind range max
    55 = 55

Engine last updated . Checked against 3 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why do scrapers use such a blunt bevel angle compared to gouges?

Scrapers are ground at 70-80 degrees rather than a gouge's 30-55 degrees because they work by presenting a flat edge at center height and shearing or scraping rather than slicing along a rubbed bevel. The clearance angle output (90 minus the bevel angle) is what actually determines whether that blunt edge rubs cleanly or digs in, and it matters most for exactly this kind of tool geometry.

Why does the calculator set the ideal tool rest below center for gouges but at center for scrapers?

Scrapers get an ideal rest-below-center of zero, since they're presented flat at center height. Gouges instead get 0.5 inch below center when their bevel is steeper than 40 degrees, or 0.25 inch otherwise, because a gouge cuts by riding its bevel against the wood, and starting the handle lower lets you raise it during the cut to engage that bevel properly.

What is the 'Irish grind' wing angle, and why does it only appear for bowl gouges?

The wing angle only calculates for tool type 0 (bowl gouge), where it's set to the bevel angle plus 10 degrees. Sweeping the wings back to a steeper angle than the nose is what lets a bowl gouge shear-cut smoothly as it transitions across the curved interior of a bowl — the other tool types this calculator models don't use that swept-wing profile, so their wing angle reports as zero.

How reliable is the jig projection number for my own sharpening jig?

It's computed as 2.5 divided by the tangent of the bevel angle, a formula calibrated to a generic Wolverine-style pocket jig. Real projection depends on your specific jig's pivot arm length and pocket geometry, so this figure is meant as a starting reference to sharpen from and adjust — not a substitute for dialing in your actual jig setup with a test grind.

Does Workpiece diameter change any of the results?

It's collected but doesn't currently affect the calculation — every output here (bevel angle, clearance angle, rest height, wing angle, jig projection) is derived from tool type, custom bevel, and center/rest height alone.

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