Ball Nose Effective Diameter and Feed Calculator

MILLING

Ball nose end mills only cut with part of the ball at shallow depths of cut. This finds the effective cutting diameter at your depth of cut, then the spindle speed adjusted for it.

Effective Diameter (in)
Adjusted Spindle Speed (RPM)

De = 2 x sqrt(R^2 – (R – doc)^2), where R = D/2. RPM uses De in place of full diameter: RPM = (SFM x 3.82) / De.

How it works

At shallow depths, only a small chord of the ball is actually cutting, so using the full ball diameter for RPM badly understates the real surface speed at the cutting edge. Effective diameter corrects for this.

FAQ

What if depth of cut exceeds the radius? Past the radius, the full diameter is engaged, so effective diameter caps at the full ball diameter.

Related Guides

CNC Calculators · SFM Calculator · Stepover Calculator

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The calculators and tools on Formula Factory are provided for general guidance and informational purposes only. Results are estimates based on standard formulas and the values you enter — they do not constitute professional engineering, electrical, or architectural advice. Always verify calculations with a qualified professional before making decisions for any safety-critical, code-compliance, or commercial application. Formula Factory makes no representations or warranties as to the accuracy or completeness of any result, and accepts no liability for errors, omissions, or any outcomes arising from reliance on this information.