Instantaneous Cutting Speed given Feed Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cutting Velocity = 2*pi*Rotational Frequency of Spindle*(Outside Radius of the Workpiece-Rotational Frequency of Spindle*Feed*Process Time)
V = 2*pi*ns*(ro-ns*f*t′)
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Cutting Velocity - (Measured in Meter per Second) - The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).
Rotational Frequency of Spindle - (Measured in Hertz) - Rotational Frequency of Spindle is the number of turns made by the spindle of the Machine for cutting in one second.
Outside Radius of the Workpiece - (Measured in Meter) - Outside Radius of the Workpiece is the radius of the outermost surface of the workpiece, away from the machining tool.
Feed - (Measured in Meter) - The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle.
Process Time - (Measured in Second) - Process Time is the time for which any Process has been carried out irrespective of its completion.
STEP 1: Convert Input(s) to Base Unit
Rotational Frequency of Spindle: 10 Hertz --> 10 Hertz No Conversion Required
Outside Radius of the Workpiece: 1000 Millimeter --> 1 Meter (Check conversion here)
Feed: 0.9 Millimeter --> 0.0009 Meter (Check conversion here)
Process Time: 1.6 Minute --> 96 Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = 2*pi*ns*(ro-ns*f*t′) --> 2*pi*10*(1-10*0.0009*96)
Evaluating ... ...
V = 8.54513201776424
STEP 3: Convert Result to Output's Unit
8.54513201776424 Meter per Second -->512707.921065855 Millimeter per Minute (Check conversion here)
FINAL ANSWER
512707.921065855 512707.9 Millimeter per Minute <-- Cutting Velocity
(Calculation completed in 00.020 seconds)

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Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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7 Cutting Velocity Calculators

Reference Cutting Velocity given Optimum Spindle Speed
Go Reference Cutting Velocity = Rotational Frequency of Spindle*2*pi*Outside Radius of the Workpiece/((((1+Taylor's Tool Life Exponent)*Cost of a Tool*Reference Tool Life*(1-Workpiece Radius Ratio))/((1-Taylor's Tool Life Exponent)*(Cost of a Tool*Time to Change One Tool+Cost of a Tool)*(1-(Workpiece Radius Ratio^((1+Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent)))))^Taylor's Tool Life Exponent)
Instantaneous Cutting Speed given Feed
Go Cutting Velocity = 2*pi*Rotational Frequency of Spindle*(Outside Radius of the Workpiece-Rotational Frequency of Spindle*Feed*Process Time)
Reference Cutting Velocity given Rate of Increase of Wear-Land Width
Go Reference Cutting Velocity = Cutting Velocity/((Rate of Increase of Wear Land Width*Reference Tool Life/Maximum Wear Land Width)^Taylor's Tool Life Exponent)
Cutting Velocity given Rate of Increase of Wear-Land Width
Go Cutting Velocity = Reference Cutting Velocity*((Rate of Increase of Wear Land Width*Reference Tool Life/Maximum Wear Land Width)^Taylor's Tool Life Exponent)
Reference Cutting Speed given Cutting Speed for Constant-Cutting-Speed Operation
Go Reference Cutting Velocity = Cutting Velocity/((Reference Tool Life/(Tool Life*Time Proportion of Cutting Edge Engagement))^Taylor's Tool Life Exponent)
Cutting Speed for Constant-Cutting-Speed Operation
Go Cutting Velocity = ((Reference Tool Life/(Tool Life*Time Proportion of Cutting Edge Engagement))^Taylor's Tool Life Exponent)*Reference Cutting Velocity
Instantaneous Cutting Speed
Go Cutting Velocity = 2*pi*Rotational Frequency of Spindle*Instantaneous Radius for Cut

Instantaneous Cutting Speed given Feed Formula

Cutting Velocity = 2*pi*Rotational Frequency of Spindle*(Outside Radius of the Workpiece-Rotational Frequency of Spindle*Feed*Process Time)
V = 2*pi*ns*(ro-ns*f*t′)

Cutting Speed in Facing Operation

In a Facing Operation, a constant spindle speed results in a variable cutting speed which varies linearly with the radius of the cut. The cutting speed is maximum at the periphery of the workpiece and minimum at the end of the operation.

How to Calculate Instantaneous Cutting Speed given Feed?

Instantaneous Cutting Speed given Feed calculator uses Cutting Velocity = 2*pi*Rotational Frequency of Spindle*(Outside Radius of the Workpiece-Rotational Frequency of Spindle*Feed*Process Time) to calculate the Cutting Velocity, The Instantaneous Cutting Speed given Feed is a method to determine the maximum speed at which the Machining Tool may cut the workpiece Feed provided is known. Cutting Velocity is denoted by V symbol.

How to calculate Instantaneous Cutting Speed given Feed using this online calculator? To use this online calculator for Instantaneous Cutting Speed given Feed, enter Rotational Frequency of Spindle (ns), Outside Radius of the Workpiece (ro), Feed (f) & Process Time (t′) and hit the calculate button. Here is how the Instantaneous Cutting Speed given Feed calculation can be explained with given input values -> 3.1E+10 = 2*pi*10*(1-10*0.0009*96) .

FAQ

What is Instantaneous Cutting Speed given Feed?
The Instantaneous Cutting Speed given Feed is a method to determine the maximum speed at which the Machining Tool may cut the workpiece Feed provided is known and is represented as V = 2*pi*ns*(ro-ns*f*t′) or Cutting Velocity = 2*pi*Rotational Frequency of Spindle*(Outside Radius of the Workpiece-Rotational Frequency of Spindle*Feed*Process Time). Rotational Frequency of Spindle is the number of turns made by the spindle of the Machine for cutting in one second, Outside Radius of the Workpiece is the radius of the outermost surface of the workpiece, away from the machining tool, The Feed is the distance the cutting tool advances along the length of the work for every revolution of the spindle & Process Time is the time for which any Process has been carried out irrespective of its completion.
How to calculate Instantaneous Cutting Speed given Feed?
The Instantaneous Cutting Speed given Feed is a method to determine the maximum speed at which the Machining Tool may cut the workpiece Feed provided is known is calculated using Cutting Velocity = 2*pi*Rotational Frequency of Spindle*(Outside Radius of the Workpiece-Rotational Frequency of Spindle*Feed*Process Time). To calculate Instantaneous Cutting Speed given Feed, you need Rotational Frequency of Spindle (ns), Outside Radius of the Workpiece (ro), Feed (f) & Process Time (t′). With our tool, you need to enter the respective value for Rotational Frequency of Spindle, Outside Radius of the Workpiece, Feed & Process Time 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 Cutting Velocity?
In this formula, Cutting Velocity uses Rotational Frequency of Spindle, Outside Radius of the Workpiece, Feed & Process Time. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Cutting Velocity = ((Reference Tool Life/(Tool Life*Time Proportion of Cutting Edge Engagement))^Taylor's Tool Life Exponent)*Reference Cutting Velocity
  • Cutting Velocity = Reference Cutting Velocity*((Rate of Increase of Wear Land Width*Reference Tool Life/Maximum Wear Land Width)^Taylor's Tool Life Exponent)
  • Cutting Velocity = 2*pi*Rotational Frequency of Spindle*Instantaneous Radius for Cut
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