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

✖The Number of Chip Produced per Unit Time is defined as the number of chips produced per revolution/minute of grinding wheel.ⓘ Number of Chip Produced per Unit Time [N_c]			+10% -10%
✖Average Volume of Each Chip in Grinding is defined as the average of the volume of each chip formed during the operation.ⓘ Average Volume of Each Chip in Grinding [V_O]			+10% -10%

✖Material removal rate (MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations.ⓘ Metal removal rate given number of chip produced and volume of each chip [Z_w-m]

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Formula

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

Formula

`"Z"_{"w-m"} = "N"_{"c"}*"V"_{"O"}`

Example

`"0.003m³/s"="500"*"6000mm³"`

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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_w-m = 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 amount of material removed per time unit (usually per minute) when performing machining operations.
Number of Chip Produced per Unit Time - The Number of Chip Produced per Unit Time is defined as the number of chips produced per revolution/minute of grinding wheel.
Average Volume of Each Chip in Grinding - (Measured in Cubic Meter) - Average Volume of Each Chip in Grinding is defined as the average of the volume of each chip formed during the operation.

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: 6000 Cubic Millimeter --> 6E-06 Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z_w-m = N_c*V_O --> 500*6E-06

Evaluating ... ...

Z_w-m = 0.003

STEP 3: Convert Result to Output's Unit

0.003 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

0.003 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 Width in Grinding = sqrt(Constant for Grinding Wheel*Surface Speed of Workpiece in Grinding*(sqrt(Infeed in Grinding Machine))/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 Chip = (6*Average volume of each Chip)/(Maximum width of chip in Grinding*Maximum Undeformed Chip Thickness in Grinding)

Maximum Width of Chip given Average volume of each Chip

Go Maximum width of chip in Grinding = (6*Average volume of each Chip)/(Maximum Undeformed Chip Thickness in Grinding*Average Length of Chip)

Maximum undeformed chip thickness given average volume of each chip

Go Maximum Undeformed Chip Thickness in Grinding = 6*Average volume of each Chip/(Maximum width of chip in Grinding*Average Length of Chip)

Average Volume of each Chip

Go Average volume of each Chip = Maximum width of chip in Grinding*Maximum Undeformed Chip Thickness in Grinding*Average Length of Chip/6

Angle made by length of chip given Infeed

Go Angle made by the length of the chip = acos(1-(2*Infeed in Grinding Machine/Diameter of Grinding Tool Wheel))

Infeed for given Angle made by length of chip

Go Infeed in Grinding Machine = (1-cos(Angle made by the length of the chip))*Diameter of Grinding Tool Wheel/2

Angle made by length of chip

Go Angle made by the length of the chip = asin(2*Average Length of Chip/Diameter of Grinding Tool Wheel)

Average length of chip

Go Average Length of Chip = Diameter of Grinding Tool Wheel*sin(Angle made by the length of the chip)/2

Average length of chip given Infeed

Go Average Chip Length = sqrt(Infeed in Grinding Machine*Diameter of Grinding Tool Wheel)

Maximum Width of Chip given Max undeformed Chip thickness

Go Maximum width of chip in Grinding = Grain aspect ratio in Grinding*Maximum Undeformed Chip Thickness in Grinding

Maximum undeformed chip thickness

Go Maximum Undeformed Chip Thickness in Grinding = Maximum width of chip in Grinding/Grain aspect ratio in Grinding

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 in Grinding Machine = (Average Chip Length^2)/Diameter of Grinding Tool Wheel

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_w-m = N_c*V_O

Why metal removal process is costly?

As we require more energy, the cost will definitely increase and again some material is also removed(lost) in this process.

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, The Metal removal rate given number of chip produced and volume of each chip is the amount of material removed per time unit (usually per minute) when performing machining operations such as using a lathe or milling machine. Material Removal Rate is denoted by Z_w-m 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 -> 7.6E-5 = 500*6E-06.

FAQ

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

The Metal removal rate given number of chip produced and volume of each chip 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 Z_w-m = N_c*V_O or Material Removal Rate = Number of Chip Produced per Unit Time*Average Volume of Each Chip in Grinding. The Number of Chip Produced per Unit Time is defined as the number of chips produced per revolution/minute of grinding wheel & Average Volume of Each Chip in Grinding is defined as the average of the volume of each chip formed during the operation.

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

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