Feed given Instantaneous Cutting Speed Solution

STEP 0: Pre-Calculation Summary
Formula Used
Feed = (Outside Radius of the Workpiece-(Cutting Velocity/(2*pi*Rotational Frequency of Spindle)))/(Rotational Frequency of Spindle*Process Time)
f = (ro-(V/(2*pi*ns)))/(ns*t′)
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
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.
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.
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
Outside Radius of the Workpiece: 1000 Millimeter --> 1 Meter (Check conversion here)
Cutting Velocity: 8000 Millimeter per Minute --> 0.133333333333333 Meter per Second (Check conversion here)
Rotational Frequency of Spindle: 10 Hertz --> 10 Hertz No Conversion Required
Process Time: 1.6 Minute --> 96 Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
f = (ro-(V/(2*pi*ns)))/(ns*t′) --> (1-(0.133333333333333/(2*pi*10)))/(10*96)
Evaluating ... ...
f = 0.00103945618134595
STEP 3: Convert Result to Output's Unit
0.00103945618134595 Meter -->1.03945618134595 Millimeter (Check conversion here)
FINAL ANSWER
1.03945618134595 1.039456 Millimeter <-- Feed
(Calculation completed in 00.020 seconds)

Credits

Created by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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19 Facing Operation Calculators

Optimum Spindle Speed
Go Rotational Frequency of Spindle = (Reference Cutting Velocity/(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)
Machining and Operating Rate given Optimum Spindle Speed
Go Machining and Operating Rate = (Cost of a Tool/(((((((Reference Cutting Velocity/(2*pi*Outside Radius of the Workpiece)))/Rotational Frequency of Spindle)^(1/Taylor's Tool Life Exponent))*((((1+Taylor's Tool Life Exponent)/(1-Taylor's Tool Life Exponent)))*((1-Workpiece Radius Ratio)/(1-((Workpiece Radius Ratio)^((Taylor's Tool Life Exponent+1)/Taylor's Tool Life Exponent))))*Reference Tool Life))))-Time to Change One Tool)
Cost of 1 Tool given Optimum Spindle Speed
Go Cost of a Tool = (Machining and Operating Rate*(((((((Reference Cutting Velocity/(2*pi*Outside Radius of the Workpiece)))/Rotational Frequency of Spindle)^(1/Taylor's Tool Life Exponent))*((((1+Taylor's Tool Life Exponent)/(1-Taylor's Tool Life Exponent)))*((1-Workpiece Radius Ratio)/(1-((Workpiece Radius Ratio)^((Taylor's Tool Life Exponent+1)/Taylor's Tool Life Exponent))))*Maximum Tool Life))))-Time to Change One Tool)
Optimum Spindle Speed given Tool Changing Cost
Go Rotational Frequency of Spindle = (Reference Cutting Velocity/(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 changing each 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)
Tool Changing Time given Optimum Spindle Speed
Go Time to Change One Tool = Reference Tool Life/((Rotational Frequency of Spindle*2*pi*Outer Radius of Workpiece/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent)*(1-Workpiece Radius Ratio^((1+Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent))*(1-Taylor's Tool Life Exponent)/((1+Taylor's Tool Life Exponent)*(1-Workpiece Radius Ratio)))-Cost of a Tool/Machining and Operating Rate
Tool Changing Cost given Optimum Spindle Speed
Go Cost of changing each Tool = (Cost of a Tool*Maximum Tool Life/(((Rotational Frequency of Spindle*2*pi*Outside Radius of the Workpiece/Reference Cutting Velocity)^(1/Taylor's Tool Life Exponent))*(1-(Workpiece Radius Ratio^((1+Taylor's Tool Life Exponent)/Taylor's Tool Life Exponent)))*(1-Taylor's Tool Life Exponent)/((1+Taylor's Tool Life Exponent)*(1-Workpiece Radius Ratio))))-Cost of a Tool
Machining Time given Rate of Increase of Wear-Land Width
Go Machining Time = Tool Life/(Rate of Increase of Wear Land Width*Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Increase in Wear Land Width per Component)
Taylor's Exponent given Cutting Speed for Constant-Cutting-Speed Operation
Go Taylor's Tool Life Exponent = ln(Cutting Velocity/Reference Cutting Velocity)/ln(Maximum Tool Life/(Tool Life*Time Proportion of Cutting Edge Engagement))
Time for Facing given Instantaneous Cutting Speed
Go Process Time = (Outside Radius of the Workpiece-(Cutting Velocity/(2*pi*Rotational Frequency of Spindle)))/(Rotational Frequency of Spindle*Feed)
Feed given Instantaneous Cutting Speed
Go Feed = (Outside Radius of the Workpiece-(Cutting Velocity/(2*pi*Rotational Frequency of Spindle)))/(Rotational Frequency of Spindle*Process Time)
Time Proportion of Edge Engagement given Cutting Speed for Constant-Cutting-Speed Operation
Go Time Proportion of Cutting Edge Engagement = Reference Tool Life*((Reference Cutting Velocity/Cutting Velocity)^(1/Taylor's Tool Life Exponent))/Tool Life
Feed of Workpiece given Machining Time for Facing
Go Feed = (Outside Radius of the Workpiece-Inner Radius of Workpiece)/(Rotational Frequency of Spindle*Machining Time)
Total Machining Time for single Facing Operation
Go Machining Time = (Outside Radius of the Workpiece-Inner Radius of Workpiece)/(Rotational Frequency of Spindle*Feed)
Feed given Instantaneous Radius for Cut
Go Feed = (Outside Radius of the Workpiece-Instantaneous Radius for Cut)/(Rotational Frequency of Spindle*Process Time)
Time for Facing
Go Process Time = (Outside Radius of the Workpiece-Instantaneous Radius for Cut)/(Rotational Frequency of Spindle*Feed)
Inner Radius of Workpiece given Machining Time for Facing
Go Inner Radius of Workpiece = Outside Radius of the Workpiece-Rotational Frequency of Spindle*Feed*Machining Time
Machining Time given Maximum Wear-Land Width
Go Machining Time = Increase in Wear Land Width per Component*Tool Life/Maximum Wear Land Width
Inside Radius given Workpiece Radius Ratio
Go Inner Radius of Workpiece = Workpiece Radius Ratio*Outside Radius of the Workpiece
Workpiece Radius Ratio
Go Workpiece Radius Ratio = Inner Radius of Workpiece/Outside Radius of the Workpiece

Feed given Instantaneous Cutting Speed Formula

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

Main Spindle Errors

Accuracy of spindle error measurement is affected by inherent error sources such as:
1. Sensor offset
2. Thermal drift of ​spindle
3. Centering error
4. Form error of the target surface installed in the spindle.

How to Calculate Feed given Instantaneous Cutting Speed?

Feed given Instantaneous Cutting Speed calculator uses Feed = (Outside Radius of the Workpiece-(Cutting Velocity/(2*pi*Rotational Frequency of Spindle)))/(Rotational Frequency of Spindle*Process Time) to calculate the Feed, The Feed given Instantaneous Cutting Speed is a method to determine the feed to be given for a Machining Tool when working under a given Cutting Speed of the Tool. Feed is denoted by f symbol.

How to calculate Feed given Instantaneous Cutting Speed using this online calculator? To use this online calculator for Feed given Instantaneous Cutting Speed, enter Outside Radius of the Workpiece (ro), Cutting Velocity (V), Rotational Frequency of Spindle (ns) & Process Time (t′) and hit the calculate button. Here is how the Feed given Instantaneous Cutting Speed calculation can be explained with given input values -> 1039.456 = (1-(0.133333333333333/(2*pi*10)))/(10*96) .

FAQ

What is Feed given Instantaneous Cutting Speed?
The Feed given Instantaneous Cutting Speed is a method to determine the feed to be given for a Machining Tool when working under a given Cutting Speed of the Tool and is represented as f = (ro-(V/(2*pi*ns)))/(ns*t′) or Feed = (Outside Radius of the Workpiece-(Cutting Velocity/(2*pi*Rotational Frequency of Spindle)))/(Rotational Frequency of Spindle*Process Time). Outside Radius of the Workpiece is the radius of the outermost surface of the workpiece, away from the machining tool, The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating), Rotational Frequency of Spindle is the number of turns made by the spindle of the Machine for cutting in one second & Process Time is the time for which any Process has been carried out irrespective of its completion.
How to calculate Feed given Instantaneous Cutting Speed?
The Feed given Instantaneous Cutting Speed is a method to determine the feed to be given for a Machining Tool when working under a given Cutting Speed of the Tool is calculated using Feed = (Outside Radius of the Workpiece-(Cutting Velocity/(2*pi*Rotational Frequency of Spindle)))/(Rotational Frequency of Spindle*Process Time). To calculate Feed given Instantaneous Cutting Speed, you need Outside Radius of the Workpiece (ro), Cutting Velocity (V), Rotational Frequency of Spindle (ns) & Process Time (t′). With our tool, you need to enter the respective value for Outside Radius of the Workpiece, Cutting Velocity, Rotational Frequency of Spindle & 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 Feed?
In this formula, Feed uses Outside Radius of the Workpiece, Cutting Velocity, Rotational Frequency of Spindle & Process Time. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Feed = (Outside Radius of the Workpiece-Instantaneous Radius for Cut)/(Rotational Frequency of Spindle*Process Time)
  • Feed = (Outside Radius of the Workpiece-Inner Radius of Workpiece)/(Rotational Frequency of Spindle*Machining Time)
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