Density of Work Material 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%
✖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]			+10% -10%

✖The Work Piece Density is the mass per unit volume ratio of the material of workpiece.ⓘ Density of Work Material given Gap between Tool and Work Surface [ρ]

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Formula

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Density of Work Material given Gap between Tool and Work Surface

Formula

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

Example

`"6861.467kg/m³"=".9009"*"9.869V"*"2.894E^-7kg/C"/("3Ω*cm"*"0.05mm/s"*"0.25mm")`

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Density of Work Material given Gap between Tool and Work Surface Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
Feed Speed - (Measured in Meter per Second) - Feed Speed is the Feed given against a workpiece per unit time.
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)
Feed Speed: 0.05 Millimeter per Second --> 5E-05 Meter per Second (Check conversion here)
Gap Between Tool and Work Surface: 0.25 Millimeter --> 0.00025 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ = η_e*V_s*e/(r_e*V_f*h) --> 0.9009*9.869*2.894E-07/(0.03*5E-05*0.00025)

Evaluating ... ...

ρ = 6861.46725264

STEP 3: Convert Result to Output's Unit

6861.46725264 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

6861.46725264 ≈ 6861.467 Kilogram per Cubic Meter <-- Work Piece Density

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Electrochemical Machining » Gap Resistance » Density of Work Material 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

Density of Work Material given Gap between Tool and Work Surface Formula

Processes that happen at Workpiece (Anode) during ECM

The electrochemical reactions take place at the anode (workpiece) and the cathode (tool), as well as the surrounding electrolyte fluid. As the electrical current is applied across the electrode, positive ions move towards the tool, and negative ions move towards the workpiece. As electrons cross the gap between the workpiece and the tool, metal ions come away from the workpiece.

How to Calculate Density of Work Material given Gap between Tool and Work Surface?

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

How to calculate Density of Work Material given Gap between Tool and Work Surface using this online calculator? To use this online calculator for Density of Work Material 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), Feed Speed (V_f) & Gap Between Tool and Work Surface (h) and hit the calculate button. Here is how the Density of Work Material given Gap between Tool and Work Surface calculation can be explained with given input values -> 6862.163 = 0.9009*9.869*2.894E-07/(0.03*5E-05*0.00025).

FAQ

What is Density of Work Material given Gap between Tool and Work Surface?

The Density of Work material given Gap between Tool and Work Surface is a method to determine the density of workpiece when Gap between Tool and Work Surface is fixed and is represented as ρ = η_e*V_s*e/(r_e*V_f*h) or Work Piece Density = Current Efficiency in Decimal*Supply Voltage*Electrochemical Equivalent/(Specific Resistance of The Electrolyte*Feed Speed*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, Feed Speed is the Feed given against a workpiece per unit time & The Gap between Tool and Work Surface is the stretch of the distance between Tool and Work Surface during Electrochemical Machining.

How to calculate Density of Work Material given Gap between Tool and Work Surface?

The Density of Work material given Gap between Tool and Work Surface is a method to determine the density of workpiece when Gap between Tool and Work Surface is fixed is calculated using Work Piece Density = Current Efficiency in Decimal*Supply Voltage*Electrochemical Equivalent/(Specific Resistance of The Electrolyte*Feed Speed*Gap Between Tool and Work Surface). To calculate Density of Work Material 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), Feed Speed (V_f) & 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, Feed Speed & 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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