Cutting Speed Calculator

✖The Initial Diameter of Workpiece before providing depth of cut in turning process.ⓘ Initial Diameter of Workpiece [d₁]			+10% -10%
✖Number of Revolutions the job or workpiece rotates in unit time.ⓘ Number of Revolutions [N]			+10% -10%

✖Cutting Speed is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute).ⓘ Cutting Speed [V_c]

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Formula

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Cutting Speed

Formula

`"V"_{"c"} = pi*"d"_{"1"}*"N"`

Example

`"6.984811m/s"=pi*"31mm"*"684.88rev/min"`

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Cutting Speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cutting Speed = pi*Initial Diameter of Workpiece*Number of Revolutions
V_c = pi*d₁*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 is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute).
Initial Diameter of Workpiece - (Measured in Meter) - The Initial Diameter of Workpiece before providing depth of cut in turning process.
Number of Revolutions - (Measured in Radian per Second) - Number of Revolutions the job or workpiece rotates in unit time.

STEP 1: Convert Input(s) to Base Unit

Initial Diameter of Workpiece: 31 Millimeter --> 0.031 Meter (Check conversion here)
Number of Revolutions: 684.88 Revolution per Minute --> 71.7204658827004 Radian per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_c = pi*d₁*N --> pi*0.031*71.7204658827004

Evaluating ... ...

V_c = 6.984811150603

STEP 3: Convert Result to Output's Unit

6.984811150603 Meter per Second --> No Conversion Required

FINAL ANSWER

6.984811150603 ≈ 6.984811 Meter per Second <-- Cutting Speed

(Calculation completed in 00.021 seconds)

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Credits

Created by Sai Venkata Phanindra Chary Arendra

Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

Sai Venkata Phanindra Chary Arendra has created this Calculator and 100+ more calculators!

Verified by Rushi Shah

K J Somaiya College of Engineering (K J Somaiya), Mumbai

Rushi Shah has verified this Calculator and 200+ more calculators!

< 10+ Geometry of Turning Process Calculators

Side Rake Angle for Orthogonal Cutting

Go Side Rake Angle = atan((tan(Back Rake Angle)*cos(Side Cutting Edge Angle for Orthogonal Cutting))/(sin(Side Cutting Edge Angle for Orthogonal Cutting)))

Back Rake Angle for Orthogonal Cutting

Go Back Rake Angle = atan(tan(Side Rake Angle)*tan(Side Cutting Edge Angle for Orthogonal Cutting))

Side Cutting Edge Angle for Orthogonal Cutting

Go Side Cutting Edge Angle for Orthogonal Cutting = acos(Depth of Cut/Cutting Width in Machining)

Uncut Chip Thickness

Go Uncut Chip Thickness = Feed*cos(Side Cutting Edge Angle for Orthogonal Cutting)

Machine Feed

Go Feed = Uncut Chip Thickness/cos(Side Cutting Edge Angle for Orthogonal Cutting)

Radial Force

Go Radial Force = Thrust Force*sin(Side Cutting Edge Angle for Orthogonal Cutting)

Feed Force

Go Feed Force = Thrust Force*cos(Side Cutting Edge Angle for Orthogonal Cutting)

Number of Jobs Revolution per Unit Time

Go Number of Revolutions = Cutting Speed/(pi*Initial Diameter of Workpiece)

Initial Diameter of Job in Turning

Go Initial Diameter of Workpiece = Cutting Speed/(pi*Number of Revolutions)

Cutting Speed

Go Cutting Speed = pi*Initial Diameter of Workpiece*Number of Revolutions

Cutting Speed Formula

Cutting Speed = pi*Initial Diameter of Workpiece*Number of Revolutions
V_c = pi*d₁*N

What is cutting speed

The cutting speed is defined as the speed at which the work moves concerning the tool (usually measured in feet per minute). It is obtained by the product of the job's perimeter and the job rotation speed.

How to Calculate Cutting Speed?

Cutting Speed calculator uses Cutting Speed = pi*Initial Diameter of Workpiece*Number of Revolutions to calculate the Cutting Speed, The cutting speed is defined as the speed at which the work moves concerning the tool (usually measured in feet per minute). Cutting Speed is denoted by V_c symbol.

How to calculate Cutting Speed using this online calculator? To use this online calculator for Cutting Speed, enter Initial Diameter of Workpiece (d₁) & Number of Revolutions (N) and hit the calculate button. Here is how the Cutting Speed calculation can be explained with given input values -> 25145.32 = pi*0.031*71.7204658827004.

FAQ

What is Cutting Speed?

The cutting speed is defined as the speed at which the work moves concerning the tool (usually measured in feet per minute) and is represented as V_c = pi*d₁*N or Cutting Speed = pi*Initial Diameter of Workpiece*Number of Revolutions. The Initial Diameter of Workpiece before providing depth of cut in turning process & Number of Revolutions the job or workpiece rotates in unit time.

How to calculate Cutting Speed?

The cutting speed is defined as the speed at which the work moves concerning the tool (usually measured in feet per minute) is calculated using Cutting Speed = pi*Initial Diameter of Workpiece*Number of Revolutions. To calculate Cutting Speed, you need Initial Diameter of Workpiece (d₁) & Number of Revolutions (N). With our tool, you need to enter the respective value for Initial Diameter of Workpiece & Number of Revolutions 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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