Cutting Force Formula

The tangential cutting force is what the spindle pushes against and what tries to deflect the tool. It follows directly from horsepower and cutting speed.

Force (lbf) = (33,000 × HP) / SFM

What the variables mean

Symbol Meaning
Force Tangential cutting force (pounds)
HP Spindle horsepower at the cut
SFM Cutting speed (surface feet per minute)
33,000 ft·lbf per minute in one horsepower

Worked example

3.75 HP at 300 SFM: Force = 33,000 × 3.75 / 300 = 413 lbf. Lower SFM at the same power means higher force.

Run it instantly with the Cutting Force calculator in Material & Weight.

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