Cutting Speed Calculator

✖Initial diameter of workpiece refers to the diameter of the raw material before any material removal takes place during the machining process.ⓘ Initial Diameter of Workpiece [d_i]			+10% -10%
✖Number of revolutions refers to the number of times the cutting tool rotates around its axis during the machining process.ⓘ Number of Revolutions [N]			+10% -10%

✖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.ⓘ Cutting Speed [V_c]

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Formula

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Cutting Speed

Formula

`"V"_{"c"} = pi*"d"_{"i"}*"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*d_i*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 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.
Initial Diameter of Workpiece - (Measured in Meter) - Initial diameter of workpiece refers to the diameter of the raw material before any material removal takes place during the machining process.
Number of Revolutions - (Measured in Radian per Second) - Number of revolutions refers to the number of times the cutting tool rotates around its axis during the machining process.

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*d_i*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 00.008 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))/(sin(Side Cutting Edge Angle)))

Back Rake Angle for Orthogonal Cutting

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

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

Side Cutting Edge Angle for Orthogonal Cutting

Go Side Cutting Edge Angle = acos(Depth of Cut/Cutting Width)

Uncut Chip Thickness

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

Machine Feed

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

Radial Force

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

Feed Force

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

Cutting Speed Formula

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

Applications of Cutting speed

1)Material Removal Rate (MRR): Higher cutting speeds generally result in higher MRR, meaning more material is removed per unit time.
2)Tool Life: Cutting speed has a significant impact on tool life. In general, increasing cutting speed reduces tool life due to increased tool wear caused by higher temperatures and cutting forces.
3)Surface Finish: Cutting speed affects the quality of the machined surface. Higher cutting speeds tend to produce smoother surface finishes, but this also depends on other factors such as tool geometry and cutting conditions.
4)Chip Formation: Cutting speed influences the type and characteristics of chips produced during the cutting process. Higher cutting speeds may result in thinner and more tightly curled chips.
5)Cutting Forces and Power Consumption: Cutting speed affects the magnitude of cutting forces and power consumption. Higher cutting speeds generally result in higher cutting forces and power consumption due to increased material removal rates.

How to Calculate Cutting Speed?

Cutting Speed calculator uses Cutting Speed = pi*Initial Diameter of Workpiece*Number of Revolutions to calculate 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 calculate Cutting Speed using this online calculator? To use this online calculator for Cutting Speed, enter Initial Diameter of Workpiece (d_i) & Number of Revolutions (N) and hit the calculate button. Here is how the Cutting Speed calculation can be explained with given input values -> 6.984811 = pi*0.031*71.7204658827004.

FAQ

What is 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) and is represented as V_c = pi*d_i*N or Cutting Speed = pi*Initial Diameter of Workpiece*Number of Revolutions. Initial diameter of workpiece refers to the diameter of the raw material before any material removal takes place during the machining process & Number of revolutions refers to the number of times the cutting tool rotates around its axis during the machining process.

How to calculate 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) is calculated using Cutting Speed = pi*Initial Diameter of Workpiece*Number of Revolutions. To calculate Cutting Speed, you need Initial Diameter of Workpiece (d_i) & 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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