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%
✖Feed Speed is the feed given against a workpiece per unit time.ⓘ Feed Speed [V_f]			+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]

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Formula

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Gap between Tool and Work Surface

Formula

h = η e \cdot V s \cdot \frac{e}{r e \cdot ρ \cdot V f}

Example

0.250015 mm = .9009 \cdot 9.869 V \cdot \frac{2.894E-7 kg/C}{3 Ω*cm \cdot 6861.065 kg/m³ \cdot 0.05 mm/s}

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Gap between Tool and Work Surface Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gap Between Tool And Work Surface = Current Efficiency in Decimal*Supply Voltage*Electrochemical Equivalent/(Specific Resistance of The Electrolyte*Work Piece Density*Feed Speed)
h = η_e*V_s*e/(r_e*ρ*V_f)
This formula uses 7 Variables

Variables Used

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.
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.
Feed Speed - (Measured in Meter per Second) - Feed Speed is the feed given against a workpiece per unit time.

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
Feed Speed: 0.05 Millimeter per Second --> 5E-05 Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = η_e*V_s*e/(r_e*ρ*V_f) --> 0.9009*9.869*2.894E-07/(0.03*6861.065*5E-05)

Evaluating ... ...

h = 0.00025001465707729

STEP 3: Convert Result to Output's Unit

0.00025001465707729 Meter -->0.25001465707729 Millimeter (Check conversion here)

FINAL ANSWER

0.25001465707729 ≈ 0.250015 Millimeter <-- Gap Between Tool And Work Surface

(Calculation completed in 00.004 seconds)

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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!

< Gap Resistance Calculators

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)

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 between Tool and Work Surface Formula

Tools for ECM

Tools for ECM are made from material chemically resistant to t the electrolyte and also relatively easy to machine. Commonly used materials are brass, copper, stainless steel, and titanium. Tool design is often based upon experience with the process.
A most important factor in the ECM tool design is the provision of a suitable passage through the tool for efficient electrolyte flow through the cutting gap and to prevent stagnation areas.

How to Calculate Gap between Tool and Work Surface?

Gap between Tool and Work Surface calculator uses Gap Between Tool And Work Surface = Current Efficiency in Decimal*Supply Voltage*Electrochemical Equivalent/(Specific Resistance of The Electrolyte*Work Piece Density*Feed Speed) to calculate the Gap Between Tool And Work Surface, Gap between Tool and Work Surface formula is used to find the maximum allowed gap between the tool and the work surface during ECM. Gap Between Tool And Work Surface is denoted by h symbol.

How to calculate Gap between Tool and Work Surface using this online calculator? To use this online calculator for 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) & Feed Speed (V_f) and hit the calculate button. Here is how the Gap between Tool and Work Surface calculation can be explained with given input values -> 250.04 = 0.9009*9.869*2.894E-07/(0.03*6861.065*5E-05).

FAQ

What is Gap between Tool and Work Surface?

Gap between Tool and Work Surface formula is used to find the maximum allowed gap between the tool and the work surface during ECM and is represented as h = η_e*V_s*e/(r_e*ρ*V_f) or Gap Between Tool And Work Surface = Current Efficiency in Decimal*Supply Voltage*Electrochemical Equivalent/(Specific Resistance of The Electrolyte*Work Piece Density*Feed Speed). 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 & Feed Speed is the feed given against a workpiece per unit time.

How to calculate Gap between Tool and Work Surface?

Gap between Tool and Work Surface formula is used to find the maximum allowed gap between the tool and the work surface during ECM is calculated using Gap Between Tool And Work Surface = Current Efficiency in Decimal*Supply Voltage*Electrochemical Equivalent/(Specific Resistance of The Electrolyte*Work Piece Density*Feed Speed). To calculate 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) & Feed Speed (V_f). 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 & Feed Speed 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 Gap Between Tool And Work Surface?

In this formula, Gap Between Tool And Work Surface uses Current Efficiency in Decimal, Supply Voltage, Electrochemical Equivalent, Specific Resistance of The Electrolyte, Work Piece Density & Feed Speed. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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