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ppr fittings-NF-4011-Newsun Industry Co., Ltd
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## CNC Formulas

 1. Trigonometric function calculation 1.tanθ=b/a θ=tan-1b/a 2.Sinθ=b/c Cos=a/c   2. Calculation of cutting speed Vc=(π*D*S)/1000 Vc: linear velocity (m/min) π: circumference ratio (3.14159) D: tool diameter (mm) S: Speed ​​(rpm) Example. Use Φ25 milling cutter Vc to be (m/min)25 to find S=?rpm Vc=πds/1000 25=π*25*S/1000 S=1000*25/ π*25 S=320rpm   Three, the calculation of the feed (F value) F=S＊Z＊Fz F: Feed rate (mm/min) S: Rotation speed (rpm) Z: Number of blades Fz: (actual feed per edge) Example. A standard 2-flute end mill cuts a workpiece at a speed of 2000rpm), and find the feed (F Value)? (Fz=0.25mm) F=S＊Z＊Fz F=2000*2*0.25 F=1000(mm/min)   Fourth, the calculation of the residual material height Scallop=(ae*ae)/8R Scallop: residual material height (mm) ae: XYpitch (mm) R tool radius (mm) Example. Φ20R10 refined 2 blades, the pre-residual height is 0.002mm, what is the pitch less? mm Scallop=ae2/8R 0.002=ae2/8*10 ae=0.4mm 5. Calculation of escape hole Φ=√2R2 X, Y=D/4 Φ: diameter of escape hole (mm) R tool radius (mm) D: tool diameter (mm) Example. It is known that a mold cavity needs to be processed with an escape angle (as shown in the figure), The milling cutter used is ψ10; may the escape angle hole be the smallest For what? What is the center of the circle? Φ=√ 2R2 Φ=√2＊52 Φ=7.1(mm) X, Y = D/4 X, Y = 10/4 X, Y = 2.5 mm The coordinates of the center of the circle are (2.5, -2.5)   6. Calculation of reclaiming amount Q=(ae*ap*F)/1000 Ｑ: Reclaiming amount (cm3/min) ae: XYpitch(mm) ap: Zpitch(mm) Example. Knowing that a mold must be processed with the same height as the cavity, the XYpitch of the Φ35R5 knife is 60% of the tool, and each layer cuts 1.5mm, and the feed rate is 2000mm/min. What is the amount of material taken for this tool? Q=(ae*ap*F)/1000 Ｑ＝35*0.6*1.5*2000/1000 Ｑ＝63 cm3/min   Seven, calculation of feed per edge Fz=hm * √(D/ap) Fz: Implementation of the feed per blade hm: Theoretical feed per blade ap: Zpitch(mm) D: Blade diameter (mm) Example (provided that the depo XYpitch is 60% of the tool) For the depoΦ35R5 knife, the cutting hm of NAK80 material is 0.15mm, and the cutting depth of Z axis is 1.5mm. Fz=hm * √(D/ap) Fz＝0.2*√10/1.5 Fz=0.5mm

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