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Cutting Speed in Turning Formula

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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. Check FAQs

V c = π \cdot d \cdot N

V_c - Cutting Speed?d - Diameter of Workpiece?N - Spindle Speed?π - Archimedes' constant?

Cutting Speed in Turning Example

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With units

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Here is how the Cutting Speed in Turning equation looks like with Values.

Here is how the Cutting Speed in Turning equation looks like with Units.

Here is how the Cutting Speed in Turning equation looks like.

18.2193 = 3.1416 \cdot 78 \cdot 710

18.2193m/s = 3.1416 \cdot 78mm \cdot 710rev/min

18.2193 = 3.1416 \cdot 78 \cdot 710

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Cutting Speed in Turning Solution

Follow our step by step solution on how to calculate Cutting Speed in Turning?

FIRST Step Consider the formula

V c = π \cdot d \cdot N

Next Step Substitute values of Variables

∴

V c = π \cdot 78mm \cdot 710rev/min

Next Step Substitute values of Constants

∴

V c = 3.1416 \cdot 78mm \cdot 710rev/min

Next Step Convert Units

∴

V c = 3.1416 \cdot 0.078m \cdot 74.351rad/s

Next Step Prepare to Evaluate

∴

V c = 3.1416 \cdot 0.078 \cdot 74.351

Next Step Evaluate

∴

V c = 18.2192897234832m/s

LAST Step Rounding Answer

∴

V c = 18.2193m/s

Cutting Speed in Turning Formula Elements

Variables

Constants

Cutting Speed

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.

Symbol: V_c

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Cutting Speed

Diameter of Workpiece

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.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Workpiece

Spindle Speed

Spindle Speed is the rotational frequency of machine tool spindle in a specified time frame. Workpiece is mounted with spindle using chuck.

Symbol: N

Measurement: Angular VelocityUnit: rev/min

Note: Value should be greater than 0.

Formulas to find Spindle Speed

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Cutting Operation category

Go Cutting Speed Angle using Resultant Cutting Speed

η = a \cos (\frac{v}{v e})

Go Cross sectional Area of Uncut Chip

A c = F \cdot D c

Go Mean Cutting Speed

V t = n \cdot π \cdot \frac{d w + d m}{2}

Go Average Material Removal Rate using Uncut Chip Cross-Section Area

Z t = A cs \cdot V

How to Evaluate Cutting Speed in Turning?

Cutting Speed in Turning evaluator uses Cutting Speed = pi*Diameter of Workpiece*Spindle Speed to evaluate 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 evaluate Cutting Speed in Turning using this online evaluator? To use this online evaluator for Cutting Speed in Turning, enter Diameter of Workpiece (d) & Spindle Speed (N) and hit the calculate button.

FAQs on Cutting Speed in Turning

What is the formula to find Cutting Speed in Turning?

The formula of Cutting Speed in Turning is expressed as Cutting Speed = pi*Diameter of Workpiece*Spindle Speed. Here is an example- 18.21929 = pi*0.078*74.3510261311722.

How to calculate Cutting Speed in Turning?

With Diameter of Workpiece (d) & Spindle Speed (N) we can find Cutting Speed in Turning using the formula - Cutting Speed = pi*Diameter of Workpiece*Spindle Speed. This formula also uses Archimedes' constant .

Can the Cutting Speed in Turning be negative?

No, the Cutting Speed in Turning, measured in Speed cannot be negative.

Which unit is used to measure Cutting Speed in Turning?

Cutting Speed in Turning is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Cutting Speed in Turning can be measured.

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Cutting Speed in Turning Formula

Cutting Speed in Turning Example

Cutting Speed in Turning Solution

Cutting Speed in Turning Formula Elements

Other formulas in Cutting Operation category

How to Evaluate Cutting Speed in Turning?

FAQs on Cutting Speed in Turning

Variable Name