Cutting Speed in Turning Calculator

✖The Diameter of Workpiece refers to the initial diameter of the workpiece before machining is done. This would be the diameter of the raw material stock that gets fed into the machine for processing.ⓘ Diameter of Workpiece [d]			+10% -10%
✖Spindle Speed is the rotational frequency of machine tool spindle in a specified time frame. Workpiece is mounted with spindle using chuck.ⓘ Spindle Speed [N]			+10% -10%

✖Cutting Speed refers to the speed at which a cutting tool moves across the surface of a workpiece during machining. It's basically how fast the tool cuts the material.ⓘ Cutting Speed in Turning [V_c]

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Formula

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Cutting Speed in Turning

Formula

`"V"_{"c"} = pi*"d"*"N"`

Example

`"18.21929m/s"=pi*"78mm"*"710rev/min"`

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Cutting Speed in Turning Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cutting Speed = pi*Diameter of Workpiece*Spindle Speed
V_c = pi*d*N
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Cutting Speed - (Measured in Meter per Second) - Cutting Speed refers to the speed at which a cutting tool moves across the surface of a workpiece during machining. It's basically how fast the tool cuts the material.
Diameter of Workpiece - (Measured in Meter) - The Diameter of Workpiece refers to the initial diameter of the workpiece before machining is done. This would be the diameter of the raw material stock that gets fed into the machine for processing.
Spindle Speed - (Measured in Radian per Second) - Spindle Speed is the rotational frequency of machine tool spindle in a specified time frame. Workpiece is mounted with spindle using chuck.

STEP 1: Convert Input(s) to Base Unit

Diameter of Workpiece: 78 Millimeter --> 0.078 Meter (Check conversion here)
Spindle Speed: 710 Revolution per Minute --> 74.3510261311722 Radian per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_c = pi*d*N --> pi*0.078*74.3510261311722

Evaluating ... ...

V_c = 18.2192897234832

STEP 3: Convert Result to Output's Unit

18.2192897234832 Meter per Second --> No Conversion Required

FINAL ANSWER

18.2192897234832 ≈ 18.21929 Meter per Second <-- Cutting Speed

(Calculation completed in 00.004 seconds)

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Credits

Created by Abhishek Dharmendra Bansile

Vishwakarma Institute of Information Technology, Pune (VIIT Pune), Pune

Abhishek Dharmendra Bansile has created this Calculator and 100+ more calculators!

Verified by ADITYA RAWAT

DIT UNIVERSITY (DITU), Dehradun

ADITYA RAWAT has verified this Calculator and 3 more calculators!

< 10+ Cutting Operation Calculators

Average Material Removal Rate given Depth of Cut

Go Material Removal Rate in Turning Operation = pi*Feed Rate in Machining*Depth of Cut in Machining*Rotational Frequency of The Workpiece*(Machined Surface Diameter+Depth of Cut in Machining)

Average Material Removal Rate given Depth of Cut for Boring Operation

Go Material Removal Rate in Boring Operation = pi*Feed Rate in Machining*Depth of Cut in Machining*Rotational Frequency of The Workpiece*(Machined Surface Diameter-Depth of Cut in Machining)

Mean Cutting Speed

Go Mean Cutting Speed in Turning = Workpiece Revolution*pi*(Work Surface Diameter+Diameter of Machined Surface)/2

Energy per Unit Material Removal given Efficiency of Motor Drive System

Go Energy Required for Unit Volume Removal = Electrical Power Consumed in Machining*Overall Efficiency of Machine Tool/Metal Removal Rate

Cutting Speed Angle using Resultant Cutting Speed

Go Resultant Cutting Speed Angle = acos(Cutting Velocity/Resultant Cutting Velocity)

Average Material Removal Rate using Uncut Chip Cross-Section Area

Go Material Removal Rate in Turning Operation = Cross-Sectional Area of The Uncut Chip*Mean Cutting Speed

Overall Efficiency of Machine Tool and Motor Drive System

Go Overall Efficiency of Machine Tool = Machining Power/Electrical Power Consumed in Machining

Cutting Speed in Turning

Go Cutting Speed = pi*Diameter of Workpiece*Spindle Speed

Power required for Machining Operation

Go Machining Power = Metal Removal Rate*Energy Required for Unit Volume Removal

Cross sectional Area of Uncut Chip

Go Cross-Sectional Area of Uncut Chip = Feed Rate*Depth of Cut

Cutting Speed in Turning Formula

Cutting Speed = pi*Diameter of Workpiece*Spindle Speed
V_c = pi*d*N

Cutting Speed

The cutting speed (v) of a tool is the speed at which the metal is removed by the tool from the work piece. In a lathe, it is the peripherical speed of the work past the cutting tool expressed in meters per minute.

How to Calculate Cutting Speed in Turning?

Cutting Speed in Turning calculator uses Cutting Speed = pi*Diameter of Workpiece*Spindle Speed to calculate the Cutting Speed, Cutting Speed in Turning is the speed of the workpiece's surface as it spins against the cutting tool. It impacts tool life, surface finish, and material removal rate. Choosing the right speed depends on the workpiece material, tool material, depth of cut, and your lathe's capabilities. Cutting Speed is denoted by V_c symbol.

How to calculate Cutting Speed in Turning using this online calculator? To use this online calculator for Cutting Speed in Turning, enter Diameter of Workpiece (d) & Spindle Speed (N) and hit the calculate button. Here is how the Cutting Speed in Turning calculation can be explained with given input values -> 18.21929 = pi*0.078*74.3510261311722.

FAQ

What is Cutting Speed in Turning?

Cutting Speed in Turning is the speed of the workpiece's surface as it spins against the cutting tool. It impacts tool life, surface finish, and material removal rate. Choosing the right speed depends on the workpiece material, tool material, depth of cut, and your lathe's capabilities and is represented as V_c = pi*d*N or Cutting Speed = pi*Diameter of Workpiece*Spindle Speed. The Diameter of Workpiece refers to the initial diameter of the workpiece before machining is done. This would be the diameter of the raw material stock that gets fed into the machine for processing & Spindle Speed is the rotational frequency of machine tool spindle in a specified time frame. Workpiece is mounted with spindle using chuck.

How to calculate Cutting Speed in Turning?

Cutting Speed in Turning is the speed of the workpiece's surface as it spins against the cutting tool. It impacts tool life, surface finish, and material removal rate. Choosing the right speed depends on the workpiece material, tool material, depth of cut, and your lathe's capabilities is calculated using Cutting Speed = pi*Diameter of Workpiece*Spindle Speed. To calculate Cutting Speed in Turning, you need Diameter of Workpiece (d) & Spindle Speed (N). With our tool, you need to enter the respective value for Diameter of Workpiece & Spindle Speed and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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