Cutting Velocity for given Tool Life and Volume of Metal Removed Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cut Velocity = Volume of Metal Removed/(Tool Life in Cutting Velocity*Feed Rate in Cutting Velocity*Cut Depth)
Vcut = L/(Tv*fr*dc)
This formula uses 5 Variables
Variables Used
Cut Velocity - (Measured in Meter per Second) - The Cut Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).
Volume of Metal Removed - (Measured in Cubic Meter) - The Volume of Metal Removed is the total volume of metal that is removed during machining.
Tool Life in Cutting Velocity - (Measured in Second) - Tool Life in Cutting Velocity is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations.
Feed Rate in Cutting Velocity - (Measured in Meter Per Revolution) - Feed Rate in Cutting Velocity is defined as the tool's distance travelled during one spindle revolution.
Cut Depth - (Measured in Meter) - Cut Depth is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction.
STEP 1: Convert Input(s) to Base Unit
Volume of Metal Removed: 34125 Cubic Centimeter --> 0.034125 Cubic Meter (Check conversion ​here)
Tool Life in Cutting Velocity: 4499.4 Second --> 4499.4 Second No Conversion Required
Feed Rate in Cutting Velocity: 0.7 Millimeter Per Revolution --> 0.0007 Meter Per Revolution (Check conversion ​here)
Cut Depth: 0.013 Meter --> 0.013 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vcut = L/(Tv*fr*dc) --> 0.034125/(4499.4*0.0007*0.013)
Evaluating ... ...
Vcut = 0.833444459261235
STEP 3: Convert Result to Output's Unit
0.833444459261235 Meter per Second --> No Conversion Required
FINAL ANSWER
0.833444459261235 0.833444 Meter per Second <-- Cut Velocity
(Calculation completed in 00.004 seconds)

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Created by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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National Institute of Technology (NIT), Srinagar
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Cutting Velocity Calculators

Cutting Velocity using Taylor's Tool Life and Intercept
​ LaTeX ​ Go Taylor Cutting Velocity = Taylors Intercept or Taylor's Constant/(Tool Life in Cutting Velocity^Taylors Tool Life Exponent in Cutting Velocity)
Resultant Cutting Velocity
​ LaTeX ​ Go Resultant Cutting Velocity = Cutting Velocity/cos((Cutting Speed Angle))
Feed for Sintered-Carbide Tools using Crater Depth
​ LaTeX ​ Go Feed Rate in Cutting Velocity = (Tool Wear Crater Depth-0.06)/0.3
Crater Depth for Sintered-Carbide Tools
​ LaTeX ​ Go Tool Wear Crater Depth = 0.06+0.3*Feed Rate in Cutting Velocity

Cutting Velocity for given Tool Life and Volume of Metal Removed Formula

​LaTeX ​Go
Cut Velocity = Volume of Metal Removed/(Tool Life in Cutting Velocity*Feed Rate in Cutting Velocity*Cut Depth)
Vcut = L/(Tv*fr*dc)

Effects of Cutting Speed on Tool Life

Cutting speed affects tool life greatly. Increasing cutting speed increases cutting temperature and results in shortening tool life. Cutting speed varies depending on the type and hardness of the work material. Selecting a tool grade suitable for the cutting speed is necessary.

How to Calculate Cutting Velocity for given Tool Life and Volume of Metal Removed?

Cutting Velocity for given Tool Life and Volume of Metal Removed calculator uses Cut Velocity = Volume of Metal Removed/(Tool Life in Cutting Velocity*Feed Rate in Cutting Velocity*Cut Depth) to calculate the Cut Velocity, The Cutting Velocity for given Tool Life and Volume of Metal Removed is a method to determine the maximum Cutting Speed allowed for machining when the Life of the Tool and the maximum volume of the chip it can remove is known. Cut Velocity is denoted by Vcut symbol.

How to calculate Cutting Velocity for given Tool Life and Volume of Metal Removed using this online calculator? To use this online calculator for Cutting Velocity for given Tool Life and Volume of Metal Removed, enter Volume of Metal Removed (L), Tool Life in Cutting Velocity (Tv), Feed Rate in Cutting Velocity (fr) & Cut Depth (dc) and hit the calculate button. Here is how the Cutting Velocity for given Tool Life and Volume of Metal Removed calculation can be explained with given input values -> 0.833444 = 0.034125/(4499.4*0.0007*0.013).

FAQ

What is Cutting Velocity for given Tool Life and Volume of Metal Removed?
The Cutting Velocity for given Tool Life and Volume of Metal Removed is a method to determine the maximum Cutting Speed allowed for machining when the Life of the Tool and the maximum volume of the chip it can remove is known and is represented as Vcut = L/(Tv*fr*dc) or Cut Velocity = Volume of Metal Removed/(Tool Life in Cutting Velocity*Feed Rate in Cutting Velocity*Cut Depth). The Volume of Metal Removed is the total volume of metal that is removed during machining, Tool Life in Cutting Velocity is the period of time for which the cutting edge, affected by the cutting procedure, retains its cutting capacity between sharpening operations, Feed Rate in Cutting Velocity is defined as the tool's distance travelled during one spindle revolution & Cut Depth is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction.
How to calculate Cutting Velocity for given Tool Life and Volume of Metal Removed?
The Cutting Velocity for given Tool Life and Volume of Metal Removed is a method to determine the maximum Cutting Speed allowed for machining when the Life of the Tool and the maximum volume of the chip it can remove is known is calculated using Cut Velocity = Volume of Metal Removed/(Tool Life in Cutting Velocity*Feed Rate in Cutting Velocity*Cut Depth). To calculate Cutting Velocity for given Tool Life and Volume of Metal Removed, you need Volume of Metal Removed (L), Tool Life in Cutting Velocity (Tv), Feed Rate in Cutting Velocity (fr) & Cut Depth (dc). With our tool, you need to enter the respective value for Volume of Metal Removed, Tool Life in Cutting Velocity, Feed Rate in Cutting Velocity & Cut Depth and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Cut Velocity?
In this formula, Cut Velocity uses Volume of Metal Removed, Tool Life in Cutting Velocity, Feed Rate in Cutting Velocity & Cut Depth. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Cut Velocity = Reference Cutting Velocity in Cutting Velocity*(Reference Tool Life in Cutting Velocity/Tool Life in Cutting Velocity)^Taylors Tool Life Exponent in Cutting Velocity
  • Cut Velocity = Taylors Intercept or Taylor's Constant/((Tool Life in Cutting Velocity^Taylors Tool Life Exponent in Cutting Velocity)*(Feed Rate in Cutting Velocity^Taylors Exponent For Feed Rate in Cutting Velocity)*(Cut Depth^Taylor's Exponent in Cutting Velocity))
  • Cut Velocity = Machinability Index of A Material*Cutting Speed of Free-Cutting Steel/100
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