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Фрезерование • Точение (Токарный станок) • Сверление

CNC Скорость подачи - Фрезерование, Точение (Токарный станок) & Сверление
CALCULATOR

Рассчитать Скорость подачи CNC (Обороты шпинделя (об/мин), Количество зубьев (Z), Подача на зуб (fz)).

100% REAL CNC EQUATIONS • ZERO TRACKERS • CLIENT-SIDE MATH

CNC FEED CONTROLLER
PREVIEW
n (RPM)
3,000
rev/min
z (TEETH)
4
flutes
fz (CHIP)
0.050
mm/tooth
✓ VERIFIED RESULT VECTOR
600 mm/min (23.6 IPM)
F = 3000 × 4 × 0.050 = 600 mm/min
AXIS: X/Y TABLE ADVANCE STATUS: NOMINAL
Фрезерование Точение (Токарный станок) Сверление METRIC + IMPERIAL FORMULA BREAKDOWNS RADIAL CHIP THINNING 100% CLIENT-SIDE MATH

End mills, face mills & CNC routers

RPM

Spindle rotational speed in revolutions per minute (RPM).

flutes

Total number of active cutting teeth or flutes on the cutter.

mm/tooth

Target material thickness removed by each cutting tooth per revolution.

mm
Primary Calculated Result✓ VERIFIED RESULT
Скорость подачи
600mm/min
Compensated Feed Rate:750 mm/min
Коэффициент утончения стружки (RCTF): 1.25x20% stepover
Machining & Performance Parameters
Подача на оборот (fn)
0.2 mm/rev
Обороты шпинделя (об/мин)
3,000 RPM
Подача на зуб (fz)
0.05 mm/tooth
Скорость резания (Vc)
94.2 m/min
Объем снимаемой стружки (MRR)
6 cm³/min
Время обработки
2 min min
Формула расчета
Feed Rate (F) = RPM × Number of Flutes (Z) × Chip Load (fz)
3,000 RPM × 4 flutes × 0.05 mm/tooth
= 600 mm/min

Предупреждение по безопасности: Calculated values are theoretical mathematical starting points and not guaranteed safe machining parameters. Actual feeds and speeds depend heavily on machine rigidity, spindle power, workholding stability, tool material and coating, workpiece alloy hardness, coolant application, and vibration characteristics. Always consult tooling manufacturer catalog recommendations before running parts on CNC equipment.

MACHINING WORKFLOW

Как использовать калькулятор подачи ЧПУ

01

1. Select Operation

Choose Milling (end mills, face mills), Turning (lathes), or Drilling based on your machine and tooling setup.

SETUP: SPINDLE & RPM
02

2. Choose Unit System

Toggle between Metric (mm, mm/min) and Imperial (in, IPM, SFM). All numerical parameters convert accurately.

GEOMETRY: FLUTES & CHIP LOAD
03

3. Select What to Solve For

Calculate feed rate from known RPM and chip load, or check an existing CNC program by solving in reverse for chip load, RPM, or SFM.

OUTPUT: COMPENSATE & RUN
MATHEMATICAL DERIVATIONS

Формула расчета - CNC Speeds & Feeds

Transparent, mathematically verified engineering formulas used in modern CNC machining

Milling Feed Rate Formula

MILLING
Feed Rate = RPM × Flutes (Z) × Chip Load (fz)

Feed Rate = Spindle Speed (RPM) × Number of Flutes (Z) × Chip Load per Tooth (fz). Each cutting edge removes an engineered chip volume per rotation.

Turning & Lathe Feed Rate Formula

TURNING
Feed Rate = Spindle RPM × Feed per Revolution (fn)

Feed Rate = Spindle Speed (RPM) × Feed per Revolution (fn). Turning inserts engage continuously, so table advancement is governed directly by revolution rate.

Drilling Feed Rate Formula

DRILLING
Feed Rate = Spindle RPM × Feed per Revolution (fn)

Feed Rate = Spindle Speed (RPM) × Feed per Revolution (fn). Unlike milling, drilling feed recommendations are specified per total revolution rather than per cutting lip.

Cutting Speed & RPM Relationships

SPEED (Vc)
Metric: RPM = (1,000 × Vc) / (π × D)
Imperial: RPM = (12 × SFM) / (π × D)

Metric: RPM = (1,000 × Vc) / (π × D). Imperial: RPM = (12 × SFM) / (π × D). Surface speed dictates tool temperature and wear rate.

MACHINING TOOLKIT

Related CNC Machining Calculators

Specialized cutting formulas, speed calculations, and material removal tools

FAQ & MACHINING REFERENCE

Frequently Asked Questions

What is feed rate in CNC machining?

Feed rate is the linear velocity at which the cutting tool advances through or along the workpiece. In milling, it is commonly measured in millimeters per minute (mm/min) or inches per minute (IPM). In turning and drilling, feed is often expressed as feed per revolution (mm/rev or IPR).

How do you calculate CNC milling feed rate?

Milling feed rate is calculated using the formula: Feed Rate = Spindle Speed (RPM) × Number of Flutes (Z) × Chip Load per Tooth (fz). For example, a 4-flute end mill running at 3,000 RPM with a chip load of 0.05 mm/tooth produces a feed rate of 3,000 × 4 × 0.05 = 600 mm/min.

What is chip load (feed per tooth)?

Chip load is the physical thickness of material removed by each individual cutting flute as it passes through the workpiece. Maintaining the proper chip load prevents tool rubbing (if feed is too low) or tool breakage and excessive deflection (if feed is too high).

What is the difference between feed rate and chip load?

Feed rate is the total linear velocity of the machine axis (e.g. 600 mm/min or 25 IPM). Chip load is the microscopic thickness of cut taken by each tooth (e.g. 0.05 mm or 0.002 in). Chip load is a function of feed rate, spindle RPM, and cutter flute count.

What is feed per revolution?

Feed per revolution (fn) is the linear distance the tool advances for one complete 360-degree rotation of the spindle. It is the primary feed parameter in lathe turning and drilling, where multi-tooth chip distribution does not apply in the same manner as milling.

How do you calculate spindle RPM from cutting speed (SFM or Vc)?

In metric units: RPM = (1,000 × Vc) / (π × Tool Diameter in mm). In imperial units: RPM = (12 × SFM) / (π × Tool Diameter in inches), commonly approximated as (SFM × 3.82) / Diameter.

What is SFM (Surface Feet per Minute)?

SFM is the linear surface cutting speed at the outer perimeter of the cutting tool in feet per minute. It reflects how fast the cutting edge shears the material and determines cutting zone temperatures and tool wear rates.

Does feed rate depend on the number of flutes?

Yes, in milling. Because each cutting flute shears a chip during each revolution, doubling the number of flutes doubles the total material advancement rate at the same chip load and RPM (Feed Rate = RPM × Flutes × Chip Load).

What is Material Removal Rate (MRR)?

Material Removal Rate measures the volume of metal or material removed per unit of time, typically expressed in cubic centimeters per minute (cm³/min) or cubic inches per minute (in³/min). In milling, basic rectangular MRR = Axial Depth (ap) × Radial Width (ae) × Feed Rate.

What is radial chip thinning and when should I use it?

When radial width of cut (stepover) is less than 50% of the cutter diameter, the cutting flute exits before reaching full engagement thickness. This results in an actual chip thickness smaller than the programmed feed per tooth. A radial chip thinning factor (RCTF) compensates by increasing the programmed feed rate to preserve optimal chip formation and prevent work-hardening.

Should I use the calculated feed rate directly on my CNC machine?

The calculated feed rate is a mathematical starting point. You must evaluate your specific machine rigidity, spindle horsepower, workholding rigidity, tool overhang, workpiece hardness, and coolant capabilities before applying cutting parameters.

Does this calculator support both metric and imperial units?

Yes. You can switch between Metric (mm, mm/min, m/min, cm³/min) and Imperial (in, IPM, SFM, in³/min) at any time. Entered values are converted accurately without loss of engineering context.