Tool Feed Speed given Gap between Tool and Work Surface Solution

STEP 0: Pre-Calculation Summary
Formula Used
Feed Speed = Current Efficiency in Decimal*Supply Voltage*Electrochemical Equivalent/(Specific Resistance of The Electrolyte*Work Piece Density*Gap Between Tool and Work Surface)
Vf = ηe*Vs*e/(re*ρ*h)
This formula uses 7 Variables
Variables Used
Feed Speed - (Measured in Meter per Second) - Feed Speed is the Feed given against a workpiece per unit time.
Current Efficiency in Decimal - Current Efficiency in Decimal is the ratio of the actual mass of a substance liberated from an electrolyte by the passage of current to the theoretical mass liberated according to Faraday's law.
Supply Voltage - (Measured in Volt) - Supply Voltage is the voltage required to charge a given device within a given time.
Electrochemical Equivalent - (Measured in Kilogram Per Coulomb) - The Electrochemical Equivalent is the mass of a substance produced at the electrode during electrolysis by one coulomb of charge.
Specific Resistance of The Electrolyte - (Measured in Ohm Meter) - Specific Resistance of the electrolyte is the measure of how strongly it opposes the flow of current through them.
Work Piece Density - (Measured in Kilogram per Cubic Meter) - The Work Piece Density is the mass per unit volume ratio of the material of workpiece.
Gap Between Tool and Work Surface - (Measured in Meter) - The Gap between Tool and Work Surface is the stretch of the distance between Tool and Work Surface during Electrochemical Machining.
STEP 1: Convert Input(s) to Base Unit
Current Efficiency in Decimal: 0.9009 --> No Conversion Required
Supply Voltage: 9.869 Volt --> 9.869 Volt No Conversion Required
Electrochemical Equivalent: 2.894E-07 Kilogram Per Coulomb --> 2.894E-07 Kilogram Per Coulomb No Conversion Required
Specific Resistance of The Electrolyte: 3 Ohm Centimeter --> 0.03 Ohm Meter (Check conversion here)
Work Piece Density: 6861.065 Kilogram per Cubic Meter --> 6861.065 Kilogram per Cubic Meter No Conversion Required
Gap Between Tool and Work Surface: 0.25 Millimeter --> 0.00025 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vf = ηe*Vs*e/(re*ρ*h) --> 0.9009*9.869*2.894E-07/(0.03*6861.065*0.00025)
Evaluating ... ...
Vf = 5.00029314154581E-05
STEP 3: Convert Result to Output's Unit
5.00029314154581E-05 Meter per Second -->0.0500029314154581 Millimeter per Second (Check conversion here)
FINAL ANSWER
0.0500029314154581 0.050003 Millimeter per Second <-- Feed Speed
(Calculation completed in 00.004 seconds)

Credits

Created by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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Verified by Parul Keshav
National Institute of Technology (NIT), Srinagar
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3 Tool Feed Speed Calculators

Tool Feed Speed given Gap between Tool and Work Surface
Go Feed Speed = Current Efficiency in Decimal*Supply Voltage*Electrochemical Equivalent/(Specific Resistance of The Electrolyte*Work Piece Density*Gap Between Tool and Work Surface)
Tool Feed Speed given Current Supplied
Go Feed Speed = Current Efficiency in Decimal*Electrochemical Equivalent*Electric Current/(Work Piece Density*Area of Penetration)
Tool Feed Speed given Volumetric Material Removal Rate
Go Feed Speed = Metal Removal Rate/Area of Penetration

Tool Feed Speed given Gap between Tool and Work Surface Formula

Feed Speed = Current Efficiency in Decimal*Supply Voltage*Electrochemical Equivalent/(Specific Resistance of The Electrolyte*Work Piece Density*Gap Between Tool and Work Surface)
Vf = ηe*Vs*e/(re*ρ*h)

Tool Life in ECM

There is no mechanical contact between the workpiece and the tool. The fast-moving electrolyte removes the depleted material while it is in solution before it can become plated on the tool. Hence there is neither tool wear nor plating of the workpiece material on the tool so that one tool can produce a large number of components during its life.

How to Calculate Tool Feed Speed given Gap between Tool and Work Surface?

Tool Feed Speed given Gap between Tool and Work Surface calculator uses Feed Speed = Current Efficiency in Decimal*Supply Voltage*Electrochemical Equivalent/(Specific Resistance of The Electrolyte*Work Piece Density*Gap Between Tool and Work Surface) to calculate the Feed Speed, The Tool Feed Speed given Gap between Tool and Work Surface is a method to determine the maximum attainable speed of tool movement when the Gap between Tool and Work Surface is fixed. Feed Speed is denoted by Vf symbol.

How to calculate Tool Feed Speed given Gap between Tool and Work Surface using this online calculator? To use this online calculator for Tool Feed Speed given Gap between Tool and Work Surface, enter Current Efficiency in Decimal e), Supply Voltage (Vs), Electrochemical Equivalent (e), Specific Resistance of The Electrolyte (re), Work Piece Density (ρ) & Gap Between Tool and Work Surface (h) and hit the calculate button. Here is how the Tool Feed Speed given Gap between Tool and Work Surface calculation can be explained with given input values -> 50.008 = 0.9009*9.869*2.894E-07/(0.03*6861.065*0.00025).

FAQ

What is Tool Feed Speed given Gap between Tool and Work Surface?
The Tool Feed Speed given Gap between Tool and Work Surface is a method to determine the maximum attainable speed of tool movement when the Gap between Tool and Work Surface is fixed and is represented as Vf = ηe*Vs*e/(re*ρ*h) or Feed Speed = Current Efficiency in Decimal*Supply Voltage*Electrochemical Equivalent/(Specific Resistance of The Electrolyte*Work Piece Density*Gap Between Tool and Work Surface). Current Efficiency in Decimal is the ratio of the actual mass of a substance liberated from an electrolyte by the passage of current to the theoretical mass liberated according to Faraday's law, Supply Voltage is the voltage required to charge a given device within a given time, The Electrochemical Equivalent is the mass of a substance produced at the electrode during electrolysis by one coulomb of charge, Specific Resistance of the electrolyte is the measure of how strongly it opposes the flow of current through them, The Work Piece Density is the mass per unit volume ratio of the material of workpiece & The Gap between Tool and Work Surface is the stretch of the distance between Tool and Work Surface during Electrochemical Machining.
How to calculate Tool Feed Speed given Gap between Tool and Work Surface?
The Tool Feed Speed given Gap between Tool and Work Surface is a method to determine the maximum attainable speed of tool movement when the Gap between Tool and Work Surface is fixed is calculated using Feed Speed = Current Efficiency in Decimal*Supply Voltage*Electrochemical Equivalent/(Specific Resistance of The Electrolyte*Work Piece Density*Gap Between Tool and Work Surface). To calculate Tool Feed Speed given Gap between Tool and Work Surface, you need Current Efficiency in Decimal e), Supply Voltage (Vs), Electrochemical Equivalent (e), Specific Resistance of The Electrolyte (re), Work Piece Density (ρ) & Gap Between Tool and Work Surface (h). With our tool, you need to enter the respective value for Current Efficiency in Decimal, Supply Voltage, Electrochemical Equivalent, Specific Resistance of The Electrolyte, Work Piece Density & Gap Between Tool and Work Surface 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 Speed?
In this formula, Feed Speed uses Current Efficiency in Decimal, Supply Voltage, Electrochemical Equivalent, Specific Resistance of The Electrolyte, Work Piece Density & Gap Between Tool and Work Surface. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Feed Speed = Metal Removal Rate/Area of Penetration
  • Feed Speed = Current Efficiency in Decimal*Electrochemical Equivalent*Electric Current/(Work Piece Density*Area of Penetration)
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