Metal removal rate given number of chip produced and volume of each chip Calculator

✖Number of Chip Produced per Unit Time is the numbers of scrap/chip produced in a specified time frame while grinding operation. It signifies the effectiveness of the grinding wheel.ⓘ Number of Chip Produced Per Unit Time [N_C]			+10% -10%
✖Average Volume of Each Chip in Grinding is defined as the overall average of the volume of each chip formed during the grinding process. It gives us an idea about the quality of the grinding wheel.ⓘ Average Volume of Each Chip in Grinding [V_O]			+10% -10%

✖Material removal rate (MRR) is the volume of material removed per unit time from workpiece while performing different machining operations.ⓘ Metal removal rate given number of chip produced and volume of each chip [Z]

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Formula

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Metal removal rate given number of chip produced and volume of each chip

Formula

`"Z" = "N"_{"C"}*"V"_{"O"}`

Example

`"0.000195m³/s"="500"*"390mm³"`

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Metal removal rate given number of chip produced and volume of each chip Solution

STEP 0: Pre-Calculation Summary

Formula Used

Material Removal Rate = Number of Chip Produced Per Unit Time*Average Volume of Each Chip in Grinding
Z = N_C*V_O
This formula uses 3 Variables

Variables Used

Material Removal Rate - (Measured in Cubic Meter per Second) - Material removal rate (MRR) is the volume of material removed per unit time from workpiece while performing different machining operations.
Number of Chip Produced Per Unit Time - Number of Chip Produced per Unit Time is the numbers of scrap/chip produced in a specified time frame while grinding operation. It signifies the effectiveness of the grinding wheel.
Average Volume of Each Chip in Grinding - (Measured in Cubic Meter) - Average Volume of Each Chip in Grinding is defined as the overall average of the volume of each chip formed during the grinding process. It gives us an idea about the quality of the grinding wheel.

STEP 1: Convert Input(s) to Base Unit

Number of Chip Produced Per Unit Time: 500 --> No Conversion Required
Average Volume of Each Chip in Grinding: 390 Cubic Millimeter --> 3.9E-07 Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z = N_C*V_O --> 500*3.9E-07

Evaluating ... ...

Z = 0.000195

STEP 3: Convert Result to Output's Unit

0.000195 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

0.000195 Cubic Meter per Second <-- Material Removal Rate

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Machine Tools and Operations » Grinding Operation » Material Removed » Grinding Chip » Metal removal rate given number of chip produced and volume of each chip

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has created this Calculator and 300+ more calculators!

Verified by Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

Kumar Siddhant has verified this Calculator and 100+ more calculators!

< 18 Grinding Chip Calculators

Maximum undeformed chip thickness given constant for grinding wheel

Go Maximum Undeformed Chip Thickness in Grinding = sqrt(Constant for Grinding Wheel*Surface Speed of Workpiece in Grinding*(sqrt(Infeed Provided by Grinding Wheel))/Surface Speed of Grinding Wheel)

Width of grinding path given Number of chips produced per time

Go Width of Grinding Path = Number of Chip Produced Per Unit Time/(Surface Speed of Grinding Wheel*Number of Active Grains Per Area on Wheel Surface)

Number of chip produced per unit time in Grinding

Go Number of Chip Produced Per Unit Time = Surface Speed of Grinding Wheel*Width of Grinding Path*Number of Active Grains Per Area on Wheel Surface

Average length of Chip given Average volume of each Chip

Go Average Length of a Chip = (6*Average Volume of Each Chip)/(Maximum Width of Chip*Maximum Undeformed Chip Thickness)

Maximum Width of Chip given Average volume of each Chip

Go Maximum Width of Chip = (6*Average Volume of Each Chip)/(Maximum Undeformed Chip Thickness*Average Length of a Chip)

Angle made by length of chip given Infeed

Go Angle Made by The Length of The Chip = acos(1-(2*Infeed Provided by Grinding Wheel)/Diameter of Grinding Wheel Tool)

Infeed for given Angle made by length of chip

Go Infeed Provided by Grinding Wheel = (1-cos(Angle Made by The Length of The Chip))*Diameter of Grinding Wheel Tool/2

Maximum undeformed chip thickness given average volume of each chip

Go Maximum Undeformed Chip Thickness = 6*Average Volume of Each Chip/(Maximum Width of Chip*Average Length of a Chip)

Average Volume of each Chip

Go Average Volume of Each Chip = Maximum Width of Chip*Maximum Undeformed Chip Thickness*Average Length of a Chip/6

Angle made by length of chip

Go Angle Made by The Length of The Chip = asin(2*Average Length of a Chip/Diameter of Grinding Wheel Tool)

Average length of chip

Go Average Length of a Chip = Diameter of Grinding Wheel Tool*sin(Angle Made by The Length of The Chip)/2

Average length of chip given Infeed

Go Average Chip Length = sqrt(Infeed Provided by Grinding Wheel*Diameter of Grinding Wheel Tool)

Metal removal rate given number of chip produced and volume of each chip

Go Material Removal Rate = Number of Chip Produced Per Unit Time*Average Volume of Each Chip in Grinding

Average Volume of each chip given metal removal rate in grinding

Go Average Volume of Each Chip in Grinding = Material Removal Rate/Number of Chip Produced Per Unit Time

Number of chip produce per time given metal removal rate

Go Number of Chip Produced Per Unit Time = Material Removal Rate/Average Volume of Each Chip in Grinding

Infeed given Diameter of wheel and average length of chip

Go Infeed Provided by Grinding Wheel = (Average Chip Length^2)/Diameter of Grinding Wheel Tool

Maximum Width of Chip given Max undeformed Chip thickness

Go Maximum Width of Chip = Grain Aspect Ratio in Grinding*Maximum Undeformed Chip Thickness

Maximum undeformed chip thickness

Go Maximum Undeformed Chip Thickness = Maximum Width of Chip/Grain Aspect Ratio in Grinding

Metal removal rate given number of chip produced and volume of each chip Formula

Material Removal Rate = Number of Chip Produced Per Unit Time*Average Volume of Each Chip in Grinding
Z = N_C*V_O

Why metal removal process is costly?

Metal removal processes are expensive because they require significant energy to overcome the material's strength and transform it into chips. Additionally, some usable material is inevitably lost as chips, and the cutting tools themselves wear down and need frequent replacement, adding to the overall cost.

How to Calculate Metal removal rate given number of chip produced and volume of each chip?

Metal removal rate given number of chip produced and volume of each chip calculator uses Material Removal Rate = Number of Chip Produced Per Unit Time*Average Volume of Each Chip in Grinding to calculate the Material Removal Rate, Metal removal rate given number of chip produced and volume of each chip refers to the volume removed from workpiece in a specified time frame in grinding operation, when the average volume of each chip is known. Note, this process of determining MRR is based on theoretical assumptions and cross-sectional area of the scrap is assumed to be triangular in shape. The actual MRR may vary in actual operational condition. Material Removal Rate is denoted by Z symbol.

How to calculate Metal removal rate given number of chip produced and volume of each chip using this online calculator? To use this online calculator for Metal removal rate given number of chip produced and volume of each chip, enter Number of Chip Produced Per Unit Time (N_C) & Average Volume of Each Chip in Grinding (V_O) and hit the calculate button. Here is how the Metal removal rate given number of chip produced and volume of each chip calculation can be explained with given input values -> 0.00078 = 500*3.9E-07.

FAQ

What is Metal removal rate given number of chip produced and volume of each chip?

Metal removal rate given number of chip produced and volume of each chip refers to the volume removed from workpiece in a specified time frame in grinding operation, when the average volume of each chip is known. Note, this process of determining MRR is based on theoretical assumptions and cross-sectional area of the scrap is assumed to be triangular in shape. The actual MRR may vary in actual operational condition and is represented as Z = N_C*V_O or Material Removal Rate = Number of Chip Produced Per Unit Time*Average Volume of Each Chip in Grinding. Number of Chip Produced per Unit Time is the numbers of scrap/chip produced in a specified time frame while grinding operation. It signifies the effectiveness of the grinding wheel & Average Volume of Each Chip in Grinding is defined as the overall average of the volume of each chip formed during the grinding process. It gives us an idea about the quality of the grinding wheel.

How to calculate Metal removal rate given number of chip produced and volume of each chip?

Metal removal rate given number of chip produced and volume of each chip refers to the volume removed from workpiece in a specified time frame in grinding operation, when the average volume of each chip is known. Note, this process of determining MRR is based on theoretical assumptions and cross-sectional area of the scrap is assumed to be triangular in shape. The actual MRR may vary in actual operational condition is calculated using Material Removal Rate = Number of Chip Produced Per Unit Time*Average Volume of Each Chip in Grinding. To calculate Metal removal rate given number of chip produced and volume of each chip, you need Number of Chip Produced Per Unit Time (N_C) & Average Volume of Each Chip in Grinding (V_O). With our tool, you need to enter the respective value for Number of Chip Produced Per Unit Time & Average Volume of Each Chip in Grinding 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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