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.ⓘ Number of Chip Produced per Unit Time [N_c]			+10% -10%
✖Average volume of each Chip is defined as the average of the volume of each chip formed during the grinding.ⓘ Average volume of each Chip [V₀]			+10% -10%

✖Material 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.ⓘ Metal removal rate given number of chip produced and volume of each chip [Z_{w material}]

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

Formula

`"Z"_{"w material"} = "N"_{"c"}*"V"_{"0"}`

Example

`"3.4E^-5m³/s"="3740"*"9mm³"`

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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
Z_{w material} = N_c*V₀
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 such as using a lathe or milling machine.
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.
Average volume of each Chip - (Measured in Cubic Meter) - Average volume of each Chip is defined as the average of the volume of each chip formed during the grinding.

STEP 1: Convert Input(s) to Base Unit

Number of Chip Produced per Unit Time: 3740 --> No Conversion Required
Average volume of each Chip: 9 Cubic Millimeter --> 9E-09 Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z_{w material} = N_c*V₀ --> 3740*9E-09

Evaluating ... ...

Z_{w material} = 3.366E-05

STEP 3: Convert Result to Output's Unit

3.366E-05 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

3.366E-05 ≈ 3.4E-5 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

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< 18 Grinding Chip Calculators

Maximum undeformed chip thickness given constant for grinding wheel

Go Maximum Undeformed Chip Thickness = sqrt(Constant for particular grinding wheel*Surface Speed of Workpiece*(sqrt(Feed))/Surface Speed of 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 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 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 Length of 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*Length of Chip)

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*Length of Chip)

Average Volume of each Chip

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

Angle made by length of chip

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

Average length of chip

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

Angle made by length of chip given Infeed

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

Infeed for given Angle made by length of chip

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

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

Average Volume of each chip given metal removal rate in grinding

Go Average volume of each Chip = 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

Average length of chip given Infeed

Go Length of Chip = sqrt(Feed*Diameter of Grinding Tool Wheel)

Maximum Width of Chip given Max undeformed Chip thickness

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

Maximum undeformed chip thickness

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

Infeed given Diameter of wheel and average length of chip

Go Feed = (Length of Chip^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
Z_{w material} = N_c*V₀

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 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 material} 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 (V₀) 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 -> 3.4E-5 = 3740*9E-09.

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 material} = N_c*V₀ or Material Removal Rate = Number of Chip Produced per Unit Time*Average volume of each Chip. The Number of Chip Produced per Unit Time is defined as the number of chips produced per revolution/minute & Average volume of each Chip is defined as the average of the volume of each chip formed during the grinding.

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. 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 (V₀). With our tool, you need to enter the respective value for Number of Chip Produced per Unit Time & Average volume of each Chip 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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