Tool Feed Speed given Gap between Tool and Work Surface Calculator

✖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.ⓘ Current Efficiency in Decimal [η_e]			+10% -10%
✖Supply Voltage is the voltage required to charge a given device within a given time.ⓘ Supply Voltage [V_s]			+10% -10%
✖The Electrochemical Equivalent is the mass of a substance produced at the electrode during electrolysis by one coulomb of charge.ⓘ Electrochemical Equivalent [e]			+10% -10%
✖Specific Resistance of the electrolyte is the measure of how strongly it opposes the flow of current through them.ⓘ Specific Resistance of The Electrolyte [r_e]			+10% -10%
✖The Work Piece Density is the mass per unit volume ratio of the material of workpiece.ⓘ Work Piece Density [ρ]			+10% -10%
✖The Gap between Tool and Work Surface is the stretch of the distance between Tool and Work Surface during Electrochemical Machining.ⓘ Gap Between Tool and Work Surface [h]			+10% -10%

✖Feed Speed is the Feed given against a workpiece per unit time.ⓘ Tool Feed Speed given Gap between Tool and Work Surface [V_f]

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Formula

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Tool Feed Speed given Gap between Tool and Work Surface

Formula

`"V"_{"f"} = "η"_{"e"}*"V"_{"s"}*"e"/("r"_{"e"}*"ρ"*"h")`

Example

`"0.050003mm/s"=".9009"*"9.869V"*"2.894E^-7kg/C"/("3Ω*cm"*"6861.065kg/m³"*"0.25mm")`

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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)
V_f = η_e*V_s*e/(r_e*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

V_f = η_e*V_s*e/(r_e*ρ*h) --> 0.9009*9.869*2.894E-07/(0.03*6861.065*0.00025)

Evaluating ... ...

V_f = 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)

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Home » Engineering » Production Engineering » Metal Machining » Electrochemical Machining » Gap Resistance » Tool Feed Speed given Gap between Tool and Work Surface

Credits

Created by Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

Kumar Siddhant has created this Calculator and 400+ more calculators!

Verified by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has verified this Calculator and 400+ more calculators!

< 14 Gap Resistance Calculators

Flow Rate of Electrolytes from Gap Resistance ECM

Go Volume Flow Rate = (Electric Current^2*Resistance of Gap Between Work and Tool)/(Density of Electrolyte*Specific Heat Capacity of Electrolyte*(Boiling Point of Electrolyte-Ambient Air Temperature))

Density of Electrolyte

Go Density of Electrolyte = (Electric Current^2*Resistance of Gap Between Work and Tool)/(Volume Flow Rate*Specific Heat Capacity of Electrolyte*(Boiling Point of Electrolyte-Ambient Air Temperature))

Gap Resistance from Electrolyte Flow Rate

Go Resistance of Gap Between Work and Tool = (Volume Flow Rate*Density of Electrolyte*Specific Heat Capacity of Electrolyte*(Boiling Point of Electrolyte-Ambient Air Temperature))/Electric Current^2

Specific Resistivity of Electrolyte given Gap between Tool and Work Surface

Go Specific Resistance of The Electrolyte = Current Efficiency in Decimal*Supply Voltage*Electrochemical Equivalent/(Gap Between Tool and Work Surface*Work Piece Density*Feed Speed)

Density of Work Material given Gap between Tool and Work Surface

Go Work Piece Density = Current Efficiency in Decimal*Supply Voltage*Electrochemical Equivalent/(Specific Resistance of The Electrolyte*Feed Speed*Gap Between Tool and Work Surface)

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)

Supply Voltage given Gap between Tool and Work Surface

Go Supply Voltage = Gap Between Tool and Work Surface*Specific Resistance of The Electrolyte*Work Piece Density*Feed Speed/(Current Efficiency in Decimal*Electrochemical Equivalent)

Gap between Tool and Work Surface

Go Gap Between Tool and Work Surface = Current Efficiency in Decimal*Supply Voltage*Electrochemical Equivalent/(Specific Resistance of The Electrolyte*Work Piece Density*Feed Speed)

Specific Resistivity of Electrolyte given Supply Current

Go Specific Resistance of The Electrolyte = Area of Penetration*Supply Voltage/(Gap Between Tool and Work Surface*Electric Current)

Gap between Tool and Work Surface given Supply Current

Go Gap Between Tool and Work Surface = Area of Penetration*Supply Voltage/(Specific Resistance of The Electrolyte*Electric Current)

Gap Resistance between Work and Tool

Go Resistance of Gap Between Work and Tool = (Specific Resistance of The Electrolyte*Gap Between Tool and Work Surface)/Cross Sectional Area of Gap

Specific Resistance of Electrolyte

Go Specific Resistance of The Electrolyte = (Resistance of Gap Between Work and Tool*Cross Sectional Area of Gap)/Gap Between Tool and Work Surface

Cross-Sectional Area of Gap

Go Cross Sectional Area of Gap = (Specific Resistance of The Electrolyte*Gap Between Tool and Work Surface)/Resistance of Gap Between Work and Tool

Width of Equilibrium Gap

Go Gap Between Tool and Work Surface = (Resistance of Gap Between Work and Tool*Cross Sectional Area of Gap)/Specific Resistance of The Electrolyte

Tool Feed Speed given Gap between Tool and Work Surface Formula

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 V_f 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 (η_e), Supply Voltage (V_s), Electrochemical Equivalent (e), Specific Resistance of The Electrolyte (r_e), 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 V_f = η_e*V_s*e/(r_e*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 (η_e), Supply Voltage (V_s), Electrochemical Equivalent (e), Specific Resistance of The Electrolyte (r_e), 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.

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