# Essential CNC Calculation Formulas You Should Know

I. The calculation of trigonometric 1.tgθ=b/a      ctgθ=a/b 2.Sinθ=b/c      Cos=a/c II. Calculation of cutting speed Vc＝(πDS)/1000 III. Calculation of the feed (F-value) F＝SZFz IV. Calculation of residue height Scallop＝(ae*ae)/8R V. Calculation of slug holes Φ＝√2R2 X. Y＝D/4 VI. Calculation of material intake Q＝(aeapF)/1000 VII. Calculation of the feed rate per blade Fz＝hm * √(D/ap […]

## I. The calculation of trigonometric

1.tgθ=b/a      ctgθ=a/b

2.Sinθ=b/c      Cos=a/c

## II. Calculation of cutting speed

Vc＝(πDS)/1000

• Vc: linear velocity (m/min)
• π: Circumference (3.14159)
• D: Tool diameter (mm)
• S: Rotational speed (rpm)

## III. Calculation of the feed (F-value)

F＝SZFz

• F: Feed rate (mm/min)
• S: Rotational speed (rpm)
• Fz: (actual feed per blade)

## IV. Calculation of residue height

Scallop＝(ae*ae)/8R

• Scallop: Residue height(mm)
• ae: XY  pitch(mm)

## V. Calculation of slug holes

Φ＝√2R2

X. Y＝D/4

• Φ: Diameter of slug holes(mm)
• D: Tool diameter (mm)

## VI. Calculation of material intake

Q＝(aeapF)/1000

• Q: The quantity of material taken(cm3/min)
• ae: XY  pitch(mm)
• ap: Z  pitch(mm)

## VII. Calculation of the feed rate per blade

Fz＝hm * √(D/ap )

• Fz: Actual feed per blade
• hm: theoretical feed per blade
• ap：Z  pitch(mm)

## VIII. Die cutting edge processing method

Tooling depth = plate thickness – tool height + drill tip (0.3D)

• D : Knife diameter

## IX. Drill drilling time formula

T(min)=L(min)/N(rpm)*f(mm/rev)＝πDL/1000vf

• L: Full length of the drilling
• N: Number of turns
• f: feed volume factor
• D: Bit diameter
• v: Cutting speed

Drill factor table fz

## X. Formulas for calculating pipe teeth

1 inch = 25.4 mm.

## XI. Horsepower (gun drill)

• W = Md*N/97.410.
• W: Power required (KW)
• Md: torque (kg-cm)
• N: Number of rotations (r.p.m.)

## XII. The formula for calculating torque is as follows.

• Md=1/20*f*ps*r2
• f is the coefficient of feed mm/rev.
• r is the drill radius (mm)
• α: cutting resistance ratio ps. at small feed, general steel 500kg/m²; general cast iron 300kg/m²
Don't forget, sharing is caring! : )
Author

#### Shane

##### Founder of MachineMFG

As the founder of MachineMFG, I have dedicated over a decade of my career to the metalworking industry. My extensive experience has allowed me to become an expert in the fields of sheet metal fabrication, machining, mechanical engineering, and machine tools for metals. I am constantly thinking, reading, and writing about these subjects, constantly striving to stay at the forefront of my field. Let my knowledge and expertise be an asset to your business.

#### Punching Force Calculator & Formula (Online & Free)

Have you ever wondered how to ensure a successful metal stamping project? In this blog post, we'll dive into the critical factors that can make or break your stamping process.…

#### Sheet Metal Gauge Thickness Chart (Steel, Aluminum, Brass)

Have you ever wondered what those numbers on sheet metal mean? In this article, we'll dive into the world of sheet metal gauge and demystify this essential aspect of metalworking.…

#### Electric vs Hydraulic Press Brake – Which One is Right for Your Business?

I. Introduction With the increasing development of technology, modern sheet metal processing, especially the bending process, requires higher and higher standards. There are different technical requirements for equipment and processing…

#### Laser Cutting Thickness and Speed Chart (500W-30kW)

Curious about the capabilities of laser cutting? In this comprehensive guide, we'll dive into the world of laser cutting speeds and thicknesses for various metals. Our expert mechanical engineer will…

#### Z Purlin Weight Calculator & Chart (Online & Free)

Have you ever wondered about the hidden world of Z-purlins? In this captivating article, our expert mechanical engineer will guide you through the intricacies of calculating Z-purlin weight. Discover how…

#### H Beam Sizes and Weight Chart

Have you ever wondered about the hidden world of H-beam steel? In this captivating article, we'll unravel the mysteries behind these essential construction components. Our expert mechanical engineer will guide…

#### Chequered Plate Weight Calculator (Online & Free)

Have you ever wondered about the weight of those patterned steel plates you see every day? In this blog post, we'll dive into the fascinating world of checkered steel plates.…

#### K Factor Calculator for Sheet Metal Bending (Online & FREE)

Are you struggling to design accurate sheet metal parts? Unlock the secrets of the K-factor, a crucial concept in sheet metal fabrication. In this article, our expert mechanical engineer demystifies…

#### I Beam Weight Chart, Sizes & Online Calculator

Have you ever wondered how to select the perfect I-beam for your construction or manufacturing project? In this blog post, our expert mechanical engineer will guide you through the process…

#### Copper vs. Aluminum Cables: A Comprehensive Comparison

I. Advantages of Copper Core Cables over Aluminum Core Cables: 1. Low resistivity: The resistivity of aluminum core cables is about 1.68 times higher than that of copper core cables.…

#### How to Choose the Right Safety Valve: A Step-by-Step Guide

Due to the diversity of safety valves and the diversity and complexity of pressure systems, when selecting a safety valve, the impact of factors such as temperature, pressure, and medium…

#### Safety Valve Usage Tips: Enhance Your System’s Security

The researcher conducted a project on a hotel’s hot water system, which provides full-time supply with steam (0.3Mpa) as the heat source, water supply temperature of 60-55 degrees, using a…