Density of Work given Tool Feed Speed Calculator

✖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%
✖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%
✖Electric current is the rate of flow of electric charge through a circuit, measured in amperes.ⓘ Electric Current [I]			+10% -10%
✖Feed Speed is the Feed given against a workpiece per unit time.ⓘ Feed Speed [V_f]			+10% -10%
✖Area of Penetration is area of penetration of electrons.ⓘ Area of Penetration [A]			+10% -10%

✖The Work Piece Density is the mass per unit volume ratio of the material of workpiece.ⓘ Density of Work given Tool Feed Speed [ρ]

⎘ Copy

👎

Formula

✖

Density of Work given Tool Feed Speed

Formula

`"ρ" = "e"*"η"_{"e"}*"I"/("V"_{"f"}*"A")`

Example

`"6861.065kg/m³"="2.894E^-7kg/C"*".9009"*"1000A"/("0.05mm/s"*"7.6cm²")`

Calculator

LaTeX

Reset

👍

Download Production Engineering Formula PDF

Density of Work given Tool Feed Speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Work Piece Density = Electrochemical Equivalent*Current Efficiency in Decimal*Electric Current/(Feed Speed*Area of Penetration)
ρ = e*η_e*I/(V_f*A)
This formula uses 6 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.
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.
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.
Electric Current - (Measured in Ampere) - Electric current is the rate of flow of electric charge through a circuit, measured in amperes.
Feed Speed - (Measured in Meter per Second) - Feed Speed is the Feed given against a workpiece per unit time.
Area of Penetration - (Measured in Square Meter) - Area of Penetration is area of penetration of electrons.

STEP 1: Convert Input(s) to Base Unit

Electrochemical Equivalent: 2.894E-07 Kilogram Per Coulomb --> 2.894E-07 Kilogram Per Coulomb No Conversion Required
Current Efficiency in Decimal: 0.9009 --> No Conversion Required
Electric Current: 1000 Ampere --> 1000 Ampere No Conversion Required
Feed Speed: 0.05 Millimeter per Second --> 5E-05 Meter per Second (Check conversion here)
Area of Penetration: 7.6 Square Centimeter --> 0.00076 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ = e*η_e*I/(V_f*A) --> 2.894E-07*0.9009*1000/(5E-05*0.00076)

Evaluating ... ...

ρ = 6861.0647368421

STEP 3: Convert Result to Output's Unit

6861.0647368421 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

6861.0647368421 ≈ 6861.065 Kilogram per Cubic Meter <-- Work Piece Density

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Production Engineering » Metal Machining » Electrochemical Machining » Current in ECM » Density of Work given Tool Feed Speed

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!

< 15 Current in ECM Calculators

Current Required in ECM

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

Current Efficiency given Gap between Tool and Work Surface

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

Area of Work Exposed to Electrolysis given Tool Feed Speed

Go Area of Penetration = Electrochemical Equivalent*Current Efficiency in Decimal*Electric Current/(Feed Speed*Work Piece Density)

Electrochemical Equivalent of Work given Tool Feed Speed

Go Electrochemical Equivalent = Feed Speed*Work Piece Density*Area of Penetration/(Current Efficiency in Decimal*Electric Current)

Current Efficiency given Tool Feed Speed

Go Current Efficiency in Decimal = Feed Speed*Work Piece Density*Area of Penetration/(Electrochemical Equivalent*Electric Current)

Current Supplied given Tool Feed Speed

Go Electric Current = Feed Speed*Work Piece Density*Area of Penetration/(Electrochemical Equivalent*Current Efficiency in Decimal)

Tool Feed Speed given Current Supplied

Go Feed Speed = Current Efficiency in Decimal*Electrochemical Equivalent*Electric Current/(Work Piece Density*Area of Penetration)

Density of Work given Tool Feed Speed

Go Work Piece Density = Electrochemical Equivalent*Current Efficiency in Decimal*Electric Current/(Feed Speed*Area of Penetration)

Current Supplied for Electrolysis given Specific Resistivity of Electrolyte

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

Area of Work Exposed to Electrolysis given Supply Current

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

Current Efficiency given Volumetric Material Removal Rate

Go Current Efficiency in Decimal = Metal Removal Rate*Work Piece Density/(Electrochemical Equivalent*Electric Current)

Current Supplied given Volumetric Material Removal Rate

Go Electric Current = Metal Removal Rate*Work Piece Density/(Electrochemical Equivalent*Current Efficiency in Decimal)

Resistance Owing to Electrolyte given Supply Current and Voltage

Go Ohmic Resistance = Supply Voltage/Electric Current

Current Supplied for Electrolysis

Go Electric Current = Supply Voltage/Ohmic Resistance

Supply Voltage for Electrolysis

Go Supply Voltage = Electric Current*Ohmic Resistance

Density of Work given Tool Feed Speed Formula

Work Piece Density = Electrochemical Equivalent*Current Efficiency in Decimal*Electric Current/(Feed Speed*Area of Penetration)
ρ = e*η_e*I/(V_f*A)

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 given Tool Feed Speed?

Density of Work given Tool Feed Speed calculator uses Work Piece Density = Electrochemical Equivalent*Current Efficiency in Decimal*Electric Current/(Feed Speed*Area of Penetration) to calculate the Work Piece Density, The Density of Work given Tool Feed Speed is a method to determine the maximum density of the workpiece based on the machining constraints that can be treated using a given feed Speed of the Tool. Work Piece Density is denoted by ρ symbol.

How to calculate Density of Work given Tool Feed Speed using this online calculator? To use this online calculator for Density of Work given Tool Feed Speed, enter Electrochemical Equivalent (e), Current Efficiency in Decimal (η_e), Electric Current (I), Feed Speed (V_f) & Area of Penetration (A) and hit the calculate button. Here is how the Density of Work given Tool Feed Speed calculation can be explained with given input values -> 6952.546 = 2.894E-07*0.9009*1000/(5E-05*0.00076).

FAQ

What is Density of Work given Tool Feed Speed?

The Density of Work given Tool Feed Speed is a method to determine the maximum density of the workpiece based on the machining constraints that can be treated using a given feed Speed of the Tool and is represented as ρ = e*η_e*I/(V_f*A) or Work Piece Density = Electrochemical Equivalent*Current Efficiency in Decimal*Electric Current/(Feed Speed*Area of Penetration). The Electrochemical Equivalent is the mass of a substance produced at the electrode during electrolysis by one coulomb of charge, 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, Electric current is the rate of flow of electric charge through a circuit, measured in amperes, Feed Speed is the Feed given against a workpiece per unit time & Area of Penetration is area of penetration of electrons.

How to calculate Density of Work given Tool Feed Speed?

The Density of Work given Tool Feed Speed is a method to determine the maximum density of the workpiece based on the machining constraints that can be treated using a given feed Speed of the Tool is calculated using Work Piece Density = Electrochemical Equivalent*Current Efficiency in Decimal*Electric Current/(Feed Speed*Area of Penetration). To calculate Density of Work given Tool Feed Speed, you need Electrochemical Equivalent (e), Current Efficiency in Decimal (η_e), Electric Current (I), Feed Speed (V_f) & Area of Penetration (A). With our tool, you need to enter the respective value for Electrochemical Equivalent, Current Efficiency in Decimal, Electric Current, Feed Speed & Area of Penetration and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search