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 = ηe*Vs*e/(re*Vf*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 = ηe*Vs*e/(re*Vf*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)

Credits

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Created by Kumar Siddhant
Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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National Institute of Technology (NIT), Srinagar
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Gap Resistance Calculators

Density of Work Material given Gap between Tool and Work Surface
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Gap Between Tool And Work Surface = Area of Penetration*Supply Voltage/(Specific Resistance of The Electrolyte*Electric Current)

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

​LaTeX ​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)
ρ = ηe*Vs*e/(re*Vf*h)

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 e), Supply Voltage (Vs), Electrochemical Equivalent (e), Specific Resistance of The Electrolyte (re), Feed Speed (Vf) & 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 = ηe*Vs*e/(re*Vf*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 e), Supply Voltage (Vs), Electrochemical Equivalent (e), Specific Resistance of The Electrolyte (re), Feed Speed (Vf) & 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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