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TOOLS FOR THE SHOP FLOOR

Less calculating.
More cutting.

Free CNC calculators, clear formulas, and practical tooling guides. Find your numbers. Understand your next cut.

in / mm   ·   Formulas included   ·   Free to use

Conceptual CNC turning illustration: carbide insert cutting a clamped steel workpiece

PRECISION STARTS WITH THE NUMBERS

START WITH YOUR OPERATION

Shop tools that get to the point.

View all 23 tools →

TOOLING, EXPLAINED

Choose the insert
for the cut.

CNMG, DNMG or VNMG? Compare shape and profile access, then check the material, grade, chipbreaker and holder.

CNMG · 80°

DNMG · 55°

VNMG · 35°

Explore the insert guideHow material affects your choice →
Conceptual macro illustration of carbide turning inserts

Tooling illustration. Confirm the exact insert and holder specifications.

KEEP THE MATH HANDY

A quick calculation, right here.

Open the free workbench for milling, drilling, turning, tapping, threading and X-to-Z taper geometry.

Open the quick calculator

FREE MACHINIST TOOLS

Machining calculators

Milling, drilling, lathe, tapping and threading calculations in Imperial and Metric units.

FREE MACHINIST TOOL

Milling calculator

RECOMMENDED STARTING RANGEBroad starting guidance only—prefer the insert/tool manufacturer’s cutting data.
SPINDLE1,528RPM
TABLE / TOOL FEED12.22IPM
FEED / REV0.0080in/rev

Educational starting point only. Verify against the cutting-tool manufacturer’s data, machine limits and a safe prove-out. Thread diameters are basic 60° geometry and do not include class or tolerance.

FREE SHOP MATH

Angle & taper calculator

Find angles, missing sides and taper geometry. All angles are measured in degrees.

X values are full diameters, not radii. Z is the positive axial distance between them; choose the Z direction and start coordinate in your program.

run / axial lengthriseθtravel

Formulas and angle conventions

Right triangle: θ = atan(rise / run); travel = √(run² + rise²). With angle and run: rise = run × tan(θ); travel = run / cos(θ). The other acute angle is 90° − θ.

Find Z: Z = (major X − minor X) / (2 × tan θ). θ is the angle to the spindle axis. For a full included angle A, use θ = A / 2. Example: X2 to X1 at 30° to the axis gives Z = 0.866025 in. At a 30° included angle, Z = 1.866025 in.

Taper: radial change = (D − d) / 2; half-angle θ = atan((D − d) / (2L)); included angle = 2θ; diameter taper per unit length = (D − d) / L. Enter the axial length, not the sloping surface length. Values use one common length unit.

The diagram illustrates the angle convention and is not to scale. Confirm whether your drawing or machine setup specifies the half-angle or included angle.

Illustration of a CNC end mill machining aluminium
PRECISION IN MOTION

LEARN THE WHY BEHIND THE NUMBERS

Fresh from the machining blog.

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FOR TOOLING BRANDS

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