What is the formula for calculate cutting speed in CNC Machining?

Table of Contents

What is the formula for calculate cutting speed in CNC Machining?

  • 1: Cutting line speed: V=πDN/1000N=rpm (spindle revolutions) D=¢mm (cutting diameter) V=M/minπ=3.14
  • 2: Cutting power: KW=(Ks×V×d×f)÷(6000×λ) W=Kw (cutting power) f=feed amount (mm/rev) d=cutting depth (mm)λ=0.7~0.85 (Mechanical efficiency)
  • 3: Cutting resistance: P=Ks×q P=KG Ks=kg/square mm q=f×d [cutting area [square mm]]
  • 4: Cutting torque: T=P×(D/2) T=kg-mD=¢mm (cutting diameter)
  • 5: Feed speed and feed amount: Vf=N×fVf=feed speed (mm/min)N=rpm (spindle revolutions) f=feed amount (mm/rev)
  • 6: Drilling time: T=L/Nf=πDL/1000VfT=Drilling time (min) D=¢mm (drill diameter) L=Drilling depth (mm) V=M/minf=feed amount (mm/rev )
  • 7: Tool nose arc radius compensation: Z=r(1-tanθ/2)X=ZtanθZ=Z compensation value X=X compensation value r=tool nose arc radius θ=inclined angle
  • 8: Worktable feed: Vf=fz×Z×nVf=worktable feed (mm/min)fz=feed per tooth (mm/t)Z=number of teeth of milling cutter n=number of revolutions of milling cutter

The relationship between cutting speed, cutting amount and feed rate