Number of Active Grains per Unit Area on Wheel Surface Calculator

✖The Number of Chip Produced Per Unit Time is defined as the number of chips produced during material removal operation in grinding in a specified unit time.ⓘ Number of Chip Produced Per Unit Time [N_c]			+10% -10%
✖Surface Speed of 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 Wheel [V_t]			+10% -10%
✖Back Engagement is the width of cut in the axial direction of grinding wheel, while the depth of cut is the engagement of the grinding wheel in the radial direction.ⓘ Back Engagement [a_p]			+10% -10%

✖Number of Active Grains Per Area on Wheel Surface is defined as the number of grains on a unit area of the surface of grinding wheel which are actively involved in grinding operation.ⓘ Number of Active Grains per Unit Area on Wheel Surface [C_g]

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Number of Active Grains per Unit Area on Wheel Surface Solution

STEP 0: Pre-Calculation Summary

Formula Used

Number of Active Grains Per Area on Wheel Surface = Number of Chip Produced Per Unit Time/(Surface Speed of Wheel*Back Engagement)
C_g = N_c/(V_t*a_p)
This formula uses 4 Variables

Variables Used

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 on a unit area of the surface of grinding wheel which are actively involved in grinding operation.
Number of Chip Produced Per Unit Time - The Number of Chip Produced Per Unit Time is defined as the number of chips produced during material removal operation in grinding in a specified unit time.
Surface Speed of Wheel - (Measured in Meter per Second) - Surface Speed of Wheel refers to the linear velocity of a point on the grinding wheel's circumference relative to the workpiece during grinding operation.
Back Engagement - (Measured in Meter) - Back Engagement is the width of cut in the axial direction of grinding wheel, while the depth of cut is the engagement of the grinding wheel in the radial direction.

STEP 1: Convert Input(s) to Base Unit

Number of Chip Produced Per Unit Time: 142.5 --> No Conversion Required
Surface Speed of Wheel: 50 Meter per Second --> 50 Meter per Second No Conversion Required
Back Engagement: 570 Millimeter --> 0.57 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_g = N_c/(V_t*a_p) --> 142.5/(50*0.57)

Evaluating ... ...

C_g = 5

STEP 3: Convert Result to Output's Unit

5 --> No Conversion Required

FINAL ANSWER

5 <-- Number of Active Grains Per Area on Wheel Surface

(Calculation completed in 00.004 seconds)

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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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< Grain Calculators

Width of Grinding Path given Metal Removal Rate

LaTeX Go Back Engagement = Metal Removal Rate/(Infeed in Grinding Operation*Surface Speed of Workpiece)

Metal removal rate during Grinding

LaTeX Go Metal Removal Rate = Infeed in Grinding Operation*Back Engagement*Surface Speed of Workpiece

Infeed given Metal Removal Rate during Grinding

LaTeX Go Infeed Given on Workpiece = Metal Removal Rate/(Width of Cut*Surface Speed of Workpiece)

Grain-aspect Ratio

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

Number of Active Grains per Unit Area on Wheel Surface Formula

LaTeX Go

Number of Active Grains Per Area on Wheel Surface = Number of Chip Produced Per Unit Time/(Surface Speed of Wheel*Back Engagement)
C_g = N_c/(V_t*a_p)

What is the process of grinding?

Grinding is an abrasive machining process that uses a grinding wheel or grinder as the cutting tool. Grinding is a subset of cutting, as grinding is a true metal-cutting process. Grinding is used to finish workpieces that must show high surface quality and high accuracy of shape and dimension.

How to Calculate Number of Active Grains per Unit Area on Wheel Surface?

Number of Active Grains per Unit Area on Wheel Surface calculator uses Number of Active Grains Per Area on Wheel Surface = Number of Chip Produced Per Unit Time/(Surface Speed of Wheel*Back Engagement) to calculate the Number of Active Grains Per Area on Wheel Surface, Number of Active Grains per Unit Area on Wheel Surface represents the density of abrasive grains that are effectively engaged in the grinding process. This parameter is crucial in understanding the efficiency and effectiveness of a grinding wheel. A higher number of active grains per unit area typically indicates a more aggressive and efficient grinding action, capable of removing material more rapidly. Number of Active Grains Per Area on Wheel Surface is denoted by C_g symbol.

How to calculate Number of Active Grains per Unit Area on Wheel Surface using this online calculator? To use this online calculator for Number of Active Grains per Unit Area on Wheel Surface, enter Number of Chip Produced Per Unit Time (N_c), Surface Speed of Wheel (V_t) & Back Engagement (a_p) and hit the calculate button. Here is how the Number of Active Grains per Unit Area on Wheel Surface calculation can be explained with given input values -> 4.508772 = 142.5/(50*0.57).

FAQ

What is Number of Active Grains per Unit Area on Wheel Surface?

Number of Active Grains per Unit Area on Wheel Surface represents the density of abrasive grains that are effectively engaged in the grinding process. This parameter is crucial in understanding the efficiency and effectiveness of a grinding wheel. A higher number of active grains per unit area typically indicates a more aggressive and efficient grinding action, capable of removing material more rapidly and is represented as C_g = N_c/(V_t*a_p) or Number of Active Grains Per Area on Wheel Surface = Number of Chip Produced Per Unit Time/(Surface Speed of Wheel*Back Engagement). The Number of Chip Produced Per Unit Time is defined as the number of chips produced during material removal operation in grinding in a specified unit time, Surface Speed of Wheel refers to the linear velocity of a point on the grinding wheel's circumference relative to the workpiece during grinding operation & Back Engagement is the width of cut in the axial direction of grinding wheel, while the depth of cut is the engagement of the grinding wheel in the radial direction.

How to calculate Number of Active Grains per Unit Area on Wheel Surface?

Number of Active Grains per Unit Area on Wheel Surface represents the density of abrasive grains that are effectively engaged in the grinding process. This parameter is crucial in understanding the efficiency and effectiveness of a grinding wheel. A higher number of active grains per unit area typically indicates a more aggressive and efficient grinding action, capable of removing material more rapidly is calculated using Number of Active Grains Per Area on Wheel Surface = Number of Chip Produced Per Unit Time/(Surface Speed of Wheel*Back Engagement). To calculate Number of Active Grains per Unit Area on Wheel Surface, you need Number of Chip Produced Per Unit Time (N_c), Surface Speed of Wheel (V_t) & Back Engagement (a_p). With our tool, you need to enter the respective value for Number of Chip Produced Per Unit Time, Surface Speed of Wheel & Back Engagement 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 Active Grains Per Area on Wheel Surface?

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

Number of Active Grains Per Area on Wheel Surface = 6/(Constant for Particular Grinding Wheel*Grain Aspect Ratio*sqrt(Diameter of Grinding Wheel))

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