Metal Removal Rate given Specific Cutting Energy Solution

STEP 0: Pre-Calculation Summary
Formula Used
Metal removal rate = Rate of Energy Consumption during Machining/Specific Cutting Energy in Machining
Zw = Pm/ps
This formula uses 3 Variables
Variables Used
Metal removal rate - (Measured in Cubic Meter per Second) - Metal removal rate (MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations such as using a lathe or milling machine.
Rate of Energy Consumption during Machining - (Measured in Watt) - Rate of Energy Consumption during Machining is the amount of energy transferred or converted per unit of time by the machine to the workpiece.
Specific Cutting Energy in Machining - (Measured in Joule per Cubic Meter) - Specific Cutting Energy in Machining is the energy consumed to remove a unit volume of material, which is calculated as the ratio of cutting energy E to material removal volume V.
STEP 1: Convert Input(s) to Base Unit
Rate of Energy Consumption during Machining: 1800 Watt --> 1800 Watt No Conversion Required
Specific Cutting Energy in Machining: 2000 Megajoule per Cubic Meter --> 2000000000 Joule per Cubic Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Zw = Pm/ps --> 1800/2000000000
Evaluating ... ...
Zw = 9E-07
STEP 3: Convert Result to Output's Unit
9E-07 Cubic Meter per Second -->900 Cubic Millimeter per Second (Check conversion here)
FINAL ANSWER
900 Cubic Millimeter per Second <-- Metal removal rate
(Calculation completed in 00.004 seconds)

Credits

Created by Parul Keshav
National Institute of Technology (NIT), Srinagar
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13 Mechanics of Metal Cutting Calculators

Cutting Ratio for given Shear Angle of Continuous chip
Go Cutting Ratio = tan(Shear angle)/(cos(Working Normal Rake)+(tan(Shear angle)*sin(Working Normal Rake)))
Shear Angle of Continuous Chip Formation
Go Shear angle = atan((Cutting Ratio*cos(Working Normal Rake))/(1-(Cutting Ratio*sin(Working Normal Rake))))
Total Shear force by tool
Go Total Shear Force by Tool = (Cutting Force*cos(Shear angle))+(Thrust force*sin(Shear angle))
Density of Workpiece given Thickness of Chip
Go Density of work piece = Mass of Chip/(Chip Thickness*Length of Chip*Width of Chip)
Rate of Energy Consumption during Machining given Specific Cutting Energy
Go Rate of Energy Consumption during Machining = Specific Cutting Energy in Machining*Metal removal rate
Metal Removal Rate given Specific Cutting Energy
Go Metal removal rate = Rate of Energy Consumption during Machining/Specific Cutting Energy in Machining
Specific cutting energy in machining
Go Specific Cutting Energy in Machining = Rate of Energy Consumption during Machining/Metal removal rate
Area of Shear
Go Area of Shear = Cross-sectional Area of Uncut Chip/sin(Shear angle)
Cutting Speed using Rate of Energy Consumption during Machining
Go Cutting Speed = Rate of Energy Consumption during Machining/Cutting Force
Rate of Energy Consumption during Machining
Go Rate of Energy Consumption during Machining = Cutting Speed*Cutting Force
Plowing Force using Force required to remove Chip
Go Plowing Force = Resultant Cutting Force-Force Required to Remove Chip
Shear Strength of Material on Shear Plane
Go Shear Strength of Material = Total Shear Force by Tool/Area of Shear
Cutting Ratio
Go Cutting Ratio = Undeformed Chip Thickness/Uncut Chip Thickness

Metal Removal Rate given Specific Cutting Energy Formula

Metal removal rate = Rate of Energy Consumption during Machining/Specific Cutting Energy in Machining
Zw = Pm/ps

what is MRR?

Metal removal rate (MRR) in metal cutting is a volume of chips removed in 1 minute, and it is measured in a three-dimensional quantity. MRR is also a measure of the productivity of metal-cutting (milling, turning, and drilling). The accuracy in calculating MRR is very important.

How to Calculate Metal Removal Rate given Specific Cutting Energy?

Metal Removal Rate given Specific Cutting Energy calculator uses Metal removal rate = Rate of Energy Consumption during Machining/Specific Cutting Energy in Machining to calculate the Metal removal rate, Metal removal rate given specific cutting energy (MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations such as using a lathe or milling machine. Metal removal rate is denoted by Zw symbol.

How to calculate Metal Removal Rate given Specific Cutting Energy using this online calculator? To use this online calculator for Metal Removal Rate given Specific Cutting Energy, enter Rate of Energy Consumption during Machining (Pm) & Specific Cutting Energy in Machining (ps) and hit the calculate button. Here is how the Metal Removal Rate given Specific Cutting Energy calculation can be explained with given input values -> 9E+11 = 1800/2000000000.

FAQ

What is Metal Removal Rate given Specific Cutting Energy?
Metal removal rate given specific cutting energy (MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations such as using a lathe or milling machine and is represented as Zw = Pm/ps or Metal removal rate = Rate of Energy Consumption during Machining/Specific Cutting Energy in Machining. Rate of Energy Consumption during Machining is the amount of energy transferred or converted per unit of time by the machine to the workpiece & Specific Cutting Energy in Machining is the energy consumed to remove a unit volume of material, which is calculated as the ratio of cutting energy E to material removal volume V.
How to calculate Metal Removal Rate given Specific Cutting Energy?
Metal removal rate given specific cutting energy (MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations such as using a lathe or milling machine is calculated using Metal removal rate = Rate of Energy Consumption during Machining/Specific Cutting Energy in Machining. To calculate Metal Removal Rate given Specific Cutting Energy, you need Rate of Energy Consumption during Machining (Pm) & Specific Cutting Energy in Machining (ps). With our tool, you need to enter the respective value for Rate of Energy Consumption during Machining & Specific Cutting Energy in Machining 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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