Cutting Speed Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cutting Speed = pi*Initial Diameter of Workpiece*Number of Revolutions
Vc = pi*di*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
Vc = pi*di*N --> pi*0.031*71.7204658827004
Evaluating ... ...
Vc = 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 00.020 seconds)

Credits

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Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad
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K J Somaiya College of Engineering (K J Somaiya), Mumbai
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Geometry of Turning Process Calculators

Number of Jobs Revolution per Unit Time
​ LaTeX ​ Go Number of Revolutions = Cutting Speed/(pi*Initial Diameter of Workpiece)
Cutting Speed
​ LaTeX ​ Go Cutting Speed = pi*Initial Diameter of Workpiece*Number of Revolutions
Uncut Chip Thickness
​ LaTeX ​ Go Uncut Chip Thickness = Feed*cos(Side Cutting Edge Angle)
Machine Feed
​ LaTeX ​ Go Feed = Uncut Chip Thickness/cos(Side Cutting Edge Angle)

Cutting Speed Formula

​LaTeX ​Go
Cutting Speed = pi*Initial Diameter of Workpiece*Number of Revolutions
Vc = pi*di*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 Vc symbol.

How to calculate Cutting Speed using this online calculator? To use this online calculator for Cutting Speed, enter Initial Diameter of Workpiece (di) & 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 Vc = pi*di*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 (di) & 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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