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 per revolution/minute.ⓘ Number of Chip Produced per Unit Time [N_c]			+10% -10%
✖Surface speed of wheel is defined as the speed of the surface of the wheel which is used for grinding.ⓘ Surface Speed of Wheel [V_t]			+10% -10%
✖Back Engagement is the width of the grinding wheel in the axial direction, 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 present on the surface of grinding wheel per unit area.ⓘ Number of active Grains per unit area on wheel surface [C_g]

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Formula

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Number of active Grains per unit area on wheel surface

Formula

`"C"_{"g"} = "N"_{"c"}/("V"_{"t"}*"a"_{"p"})`

Example

`"5"="142.5"/("50m/s"*"570mm")`

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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 present on the surface of grinding wheel per unit area.
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.
Surface Speed of Wheel - (Measured in Meter per Second) - Surface speed of wheel is defined as the speed of the surface of the wheel which is used for grinding.
Back Engagement - (Measured in Meter) - Back Engagement is the width of the grinding wheel in the axial direction, 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

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

< 13 Grain Calculators

Number of active Grains per unit area given Constant for grinding wheel

Go Number of Active Grains per Area on Wheel Surface = 6/(Constant for Particular Grinding Wheel*Grain aspect ratio*sqrt(Diameter of Grinding Wheel))

Grain-aspect Ratio given Constant for grinding wheel

Go Grain aspect ratio = 6/(Number of Active Grains per Area on Wheel Surface*Constant for Particular Grinding Wheel*sqrt(Diameter of Grinding Wheel))

Infeed given constant for grinding wheel

Go Feed = ((Maximum Undeformed Chip Thickness^2)*Surface Speed of Wheel/(Constant for Particular Grinding Wheel*Surface Speed of Workpiece))^2

Material Removal Rate in Plunge-Grinder

Go Maximum Material Removal Rate = pi*Back Engagement*Machined Surface Diameter*Feed Speed in Plunge Grinding

Material Removal Rate in Cylindrical and Internal Grinder

Go Maximum Material Removal Rate = pi*Feed Rate of the Machine Table*Diameter of Work Surface*Traverse Speed

Number of active Grains per unit area on wheel surface

Go Number of Active Grains per Area on Wheel Surface = Number of Chip Produced per Unit Time/(Surface Speed of Wheel*Back Engagement)

Traverse Speed for Cylindrical and Internal Grinder given MRR

Go Traverse Speed of Work-table = pi*Feed Rate*Work Surface Diameter/Metal removal rate

Width of Grinding path given Metal removal rate

Go Back Engagement = Metal removal rate/(Infeed in Grinding Operation*Surface Speed of Workpiece)

Metal removal rate during Grinding

Go Metal removal rate = Infeed in Grinding Operation*Back Engagement*Surface Speed of Workpiece

Infeed given Metal removal rate during Grinding

Go Infeed = Metal removal rate/(Back Engagement in Grinding*Surface Speed of Workpiece)

Traverse Speed in Horizontal and Vertical Spindle Surface-Grinder given MRR

Go Traverse Speed of Work-table = Feed Rate*Depth of Cut/Metal removal rate

Material Removal Rate in Horizontal and Vertical Spindle Surface-Grinder

Go Material Removal Rate = Cross Feed*Back Engagement*Traverse Speed

Grain-aspect Ratio

Go Grain aspect ratio = Maximum Width of Chip/Maximum Undeformed Chip Thickness

Number of active Grains per unit area on wheel surface Formula

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, The Number of active Grains per unit area on wheel surface is defined as number of grains present on surface of grinding wheel per unit area. 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?

The Number of active Grains per unit area on wheel surface is defined as number of grains present on surface of grinding wheel per unit area 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 per revolution/minute, Surface speed of wheel is defined as the speed of the surface of the wheel which is used for grinding & Back Engagement is the width of the grinding wheel in the axial direction, 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?

The Number of active Grains per unit area on wheel surface is defined as number of grains present on surface of grinding wheel per unit area 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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