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*ηe*I/(Vf*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*ηe*I/(Vf*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)

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 ECM (Electrochemical Machining) Calculators

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)
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)
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)
Density of Work given Tool Feed Speed
Go Work Piece Density = Electrochemical Equivalent*Current Efficiency in Decimal*Electric Current/(Feed Speed*Area of Penetration)
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)
Electrochemical Equivalent of Work given Volumetric Material Removal Rate
Go Electrochemical Equivalent = Metal Removal Rate*Work Piece Density/(Current Efficiency in Decimal*Electric Current)
Density of Work Material given Volumetric Material Removal Rate
Go Work Piece Density = Current Efficiency in Decimal*Electrochemical Equivalent*Electric Current/Metal Removal Rate
Volumetric Material Removal Rate
Go Metal Removal Rate = Current Efficiency in Decimal*Electrochemical Equivalent*Electric Current/Work Piece Density
Metal Removed by Mechanical Abrasion per Unit Time given Total Material Removal Rate
Go Metal Removal Rate Due to Mechanical Abrasion = Metal Removal Rate-Metal Removal Rate Due to Electrolysis
Metal Removal Rate Electrolytically Given Total Material Removal Rate
Go Metal Removal Rate Due to Electrolysis = Metal Removal Rate-Metal Removal Rate Due to Mechanical Abrasion
Total Material Removal Rate in Electrolytic Grinding
Go Metal Removal Rate = Metal Removal Rate Due to Electrolysis+Metal Removal Rate Due to Mechanical Abrasion
Volumetric Material Removal Rate given Tool Feed Speed
Go Metal Removal Rate = Feed Speed*Area of Penetration
Resistance Owing to Electrolyte given Supply Current and Voltage
Go Ohmic Resistance = Supply Voltage/Electric Current

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*ηe*I/(Vf*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 e), Electric Current (I), Feed Speed (Vf) & 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*ηe*I/(Vf*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 e), Electric Current (I), Feed Speed (Vf) & 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.
How many ways are there to calculate Work Piece Density?
In this formula, Work Piece Density uses Electrochemical Equivalent, Current Efficiency in Decimal, Electric Current, Feed Speed & Area of Penetration. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Work Piece Density = Current Efficiency in Decimal*Electrochemical Equivalent*Electric Current/Metal Removal Rate
  • Work Piece Density = Current Efficiency in Decimal*Supply Voltage*Electrochemical Equivalent/(Specific Resistance of The Electrolyte*Feed Speed*Gap Between Tool and Work Surface)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!