Number of chip produced per unit time in Grinding Calculator

✖Surface Speed of Grinding Wheel refers to the linear velocity of a point on the grinding wheel's circumference relative to the workpiece during grinding operation.ⓘ Surface Speed of Grinding Wheel [u_g]			+10% -10%
✖Width of grinding path is defined as the width of cut in the axial direction of grinding wheel, also known as back engagement. It's purpose to apply consistent pressure to the grinding wheel.ⓘ Width of Grinding Path [a_P]			+10% -10%
✖Number of active grains per area on wheel surface is defined as the number of grains present on the surface of grinding wheel that is actively in contact with the workpiece surface.ⓘ Number of Active Grains Per Area on Wheel Surface [c_g]			+10% -10%

✖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 in Grinding [N_C]

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Formula

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Number of chip produced per unit time in Grinding

Formula

`"N"_{"C"} = "u"_{"g"}*"a"_{"P"}*"c"_{"g"}`

Example

`"500.0008"="3975mm/s"*"457.405mm"*"275"`

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Number of chip produced per unit time in Grinding Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
N_C = u_g*a_P*c_g
This formula uses 4 Variables

Variables Used

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.
Surface Speed of Grinding Wheel - (Measured in Meter per Second) - Surface Speed of Grinding Wheel refers to the linear velocity of a point on the grinding wheel's circumference relative to the workpiece during grinding operation.
Width of Grinding Path - (Measured in Meter) - Width of grinding path is defined as the width of cut in the axial direction of grinding wheel, also known as back engagement. It's purpose to apply consistent pressure to the grinding wheel.
Number of Active Grains Per Area on Wheel Surface - Number of active grains per area on wheel surface is defined as the number of grains present on the surface of grinding wheel that is actively in contact with the workpiece surface.

STEP 1: Convert Input(s) to Base Unit

Surface Speed of Grinding Wheel: 3975 Millimeter per Second --> 3.975 Meter per Second (Check conversion here)
Width of Grinding Path: 457.405 Millimeter --> 0.457405 Meter (Check conversion here)
Number of Active Grains Per Area on Wheel Surface: 275 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_C = u_g*a_P*c_g --> 3.975*0.457405*275

Evaluating ... ...

N_C = 500.000840625

STEP 3: Convert Result to Output's Unit

500.000840625 --> No Conversion Required

FINAL ANSWER

500.000840625 ≈ 500.0008 <-- Number of Chip Produced Per Unit Time

(Calculation completed in 00.004 seconds)

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

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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 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

Number of chip produced per unit time in Grinding Formula

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
N_C = u_g*a_P*c_g

What is the grinding ratio?

The grinding ratio is the quick method of evaluating the grinding wheel performance. The term grinding ratio is defined as the ratio between the volume of metal removed from the workpiece to the wear of the grinding wheel.

How to Calculate Number of chip produced per unit time in Grinding?

Number of chip produced per unit time in Grinding calculator uses 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 to calculate the Number of Chip Produced Per Unit Time, Number of chip produced per unit time in Grinding can be referred as the number of chip produced in a specified time frame for specific operational condition in grinding machine. It's important to note that this is a theoretical calculation, and the actual Number of Chip Produced per Unit Time may vary depending on various factors such as the grinding conditions, the workpiece material, and the grinding wheel properties. Number of Chip Produced Per Unit Time is denoted by N_C symbol.

How to calculate Number of chip produced per unit time in Grinding using this online calculator? To use this online calculator for Number of chip produced per unit time in Grinding, enter Surface Speed of Grinding Wheel (u_g), Width of Grinding Path (a_P) & Number of Active Grains Per Area on Wheel Surface (c_g) and hit the calculate button. Here is how the Number of chip produced per unit time in Grinding calculation can be explained with given input values -> 500.0008 = 3.975*0.457405*275.

FAQ

What is Number of chip produced per unit time in Grinding?

Number of chip produced per unit time in Grinding can be referred as the number of chip produced in a specified time frame for specific operational condition in grinding machine. It's important to note that this is a theoretical calculation, and the actual Number of Chip Produced per Unit Time may vary depending on various factors such as the grinding conditions, the workpiece material, and the grinding wheel properties and is represented as N_C = u_g*a_P*c_g or 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. Surface Speed of Grinding Wheel refers to the linear velocity of a point on the grinding wheel's circumference relative to the workpiece during grinding operation, Width of grinding path is defined as the width of cut in the axial direction of grinding wheel, also known as back engagement. It's purpose to apply consistent pressure to the grinding wheel & Number of active grains per area on wheel surface is defined as the number of grains present on the surface of grinding wheel that is actively in contact with the workpiece surface.

How to calculate Number of chip produced per unit time in Grinding?

Number of chip produced per unit time in Grinding can be referred as the number of chip produced in a specified time frame for specific operational condition in grinding machine. It's important to note that this is a theoretical calculation, and the actual Number of Chip Produced per Unit Time may vary depending on various factors such as the grinding conditions, the workpiece material, and the grinding wheel properties is calculated using 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. To calculate Number of chip produced per unit time in Grinding, you need Surface Speed of Grinding Wheel (u_g), Width of Grinding Path (a_P) & Number of Active Grains Per Area on Wheel Surface (c_g). With our tool, you need to enter the respective value for Surface Speed of Grinding Wheel, Width of Grinding Path & Number of Active Grains Per Area on Wheel Surface 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 Number of Chip Produced Per Unit Time?

In this formula, Number of Chip Produced Per Unit Time uses Surface Speed of Grinding Wheel, Width of Grinding Path & Number of Active Grains Per Area on Wheel Surface. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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