FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Cutting Speed Formula

Fx Copy

LaTeX Copy

Cutting speed also known as surface speed or cutting velocity, refers to the speed at which the cutting tool moves across the workpiece surface during the machining process. Check FAQs

V c = π \cdot d i \cdot N

V_c - Cutting Speed?d_i - Initial Diameter of Workpiece?N - Number of Revolutions?π - Archimedes' constant?

Cutting Speed Example

With values

With units

Only example

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

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

Here is how the Cutting Speed equation looks like.

6.9848 = 3.1416 \cdot 31 \cdot 684.88

6.9848m/s = 3.1416 \cdot 31mm \cdot 684.88rev/min

6.9848 = 3.1416 \cdot 31 \cdot 684.88

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Production Engineering » Category

Metal Cutting » fx Cutting Speed

Cutting Speed Solution

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

FIRST Step Consider the formula

V c = π \cdot d i \cdot N

Next Step Substitute values of Variables

∴

V c = π \cdot 31mm \cdot 684.88rev/min

Next Step Substitute values of Constants

∴

V c = 3.1416 \cdot 31mm \cdot 684.88rev/min

Next Step Convert Units

∴

V c = 3.1416 \cdot 0.031m \cdot 71.7205rad/s

Next Step Prepare to Evaluate

∴

V c = 3.1416 \cdot 0.031 \cdot 71.7205

Next Step Evaluate

∴

V c = 6.984811150603m/s

LAST Step Rounding Answer

∴

V c = 6.9848m/s

Cutting Speed Formula Elements

Variables

Constants

Cutting Speed

Cutting speed also known as surface speed or cutting velocity, refers to the speed at which the cutting tool moves across the workpiece surface during the machining process.

Symbol: V_c

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Cutting Speed

Initial Diameter of Workpiece

Initial diameter of workpiece refers to the diameter of the raw material before any material removal takes place during the machining process.

Symbol: d_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Initial Diameter of Workpiece

Number of Revolutions

Number of revolutions refers to the number of times the cutting tool rotates around its axis during the machining process.

Symbol: N

Measurement: Angular VelocityUnit: rev/min

Note: Value should be greater than 0.

Formulas to find Number of Revolutions

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 Geometry of Turning Process category

Go Uncut Chip Thickness

t 1 = f \cdot \cos (ψ)

Go Machine Feed

f = \frac{t 1}{\cos (ψ)}

Go Number of Jobs Revolution per Unit Time

N = \frac{V c}{π \cdot d i}

Go Initial Diameter of Job in Turning

d i = \frac{V c}{π \cdot N}

How to Evaluate Cutting Speed?

Cutting Speed evaluator uses Cutting Speed = pi*Initial Diameter of Workpiece*Number of Revolutions to evaluate the Cutting Speed, Cutting speed, also known as surface speed or cutting velocity, is a critical parameter in metal cutting processes. It refers to the speed at which the cutting tool moves relative to the workpiece material being cut. Cutting speed is typically measured in meters per minute (m/min) or feet per minute (ft/min). Cutting Speed is denoted by V_c symbol.

How to evaluate Cutting Speed using this online evaluator? To use this online evaluator for Cutting Speed, enter Initial Diameter of Workpiece (d_i) & Number of Revolutions (N) and hit the calculate button.

FAQs on Cutting Speed

What is the formula to find Cutting Speed?

The formula of Cutting Speed is expressed as Cutting Speed = pi*Initial Diameter of Workpiece*Number of Revolutions. Here is an example- 6.984811 = pi*0.031*71.7204658827004.

How to calculate Cutting Speed?

With Initial Diameter of Workpiece (d_i) & Number of Revolutions (N) we can find Cutting Speed using the formula - Cutting Speed = pi*Initial Diameter of Workpiece*Number of Revolutions. This formula also uses Archimedes' constant .

Can the Cutting Speed be negative?

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

Which unit is used to measure Cutting Speed?

Cutting Speed 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 can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Cutting Speed Formula

Cutting Speed Example

Cutting Speed Solution

Cutting Speed Formula Elements

Other formulas in Geometry of Turning Process category

How to Evaluate Cutting Speed?

FAQs on Cutting Speed

Variable Name