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

✖Constant for particular grinding wheel is the constant value for the specific grinding wheel used in grinding operation. This constant depends on different grinding wheel parameters.ⓘ Constant for Particular Grinding Wheel [K]			+10% -10%
✖Grain aspect ratio describes the shape of the abrasive grains embedded within the grinding wheel. It signifies efficiency of grinding wheel based on the grain's shape and fracturing behavior.ⓘ Grain Aspect Ratio [r_g]			+10% -10%
✖Diameter of Grinding Wheel is the distance across the widest part of grinding wheel, measured straight through the center of grinding wheel.ⓘ Diameter of Grinding Wheel [D_t]			+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 given Constant for grinding wheel [C_g]

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Formula

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

Formula

`"C"_{"g"} = 6/("K"*"r"_{"g"}*sqrt("D"_{"t"}))`

Example

`"5.000003"=6/("13.32346"*"0.26"*sqrt("120mm"))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Number of Active Grains per Area on Wheel Surface = 6/(Constant for Particular Grinding Wheel*Grain Aspect Ratio*sqrt(Diameter of Grinding Wheel))
C_g = 6/(K*r_g*sqrt(D_t))
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
Constant for Particular Grinding Wheel - Constant for particular grinding wheel is the constant value for the specific grinding wheel used in grinding operation. This constant depends on different grinding wheel parameters.
Grain Aspect Ratio - Grain aspect ratio describes the shape of the abrasive grains embedded within the grinding wheel. It signifies efficiency of grinding wheel based on the grain's shape and fracturing behavior.
Diameter of Grinding Wheel - (Measured in Meter) - Diameter of Grinding Wheel is the distance across the widest part of grinding wheel, measured straight through the center of grinding wheel.

STEP 1: Convert Input(s) to Base Unit

Constant for Particular Grinding Wheel: 13.32346 --> No Conversion Required
Grain Aspect Ratio: 0.26 --> No Conversion Required
Diameter of Grinding Wheel: 120 Millimeter --> 0.12 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_g = 6/(K*r_g*sqrt(D_t)) --> 6/(13.32346*0.26*sqrt(0.12))

Evaluating ... ...

C_g = 5.0000029086025

STEP 3: Convert Result to Output's Unit

5.0000029086025 --> No Conversion Required

FINAL ANSWER

5.0000029086025 ≈ 5.000003 <-- Number of Active Grains per Area on Wheel Surface

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Machine Tools and Operations » Grinding Operation » Material Removed » Grain » Number of active Grains per unit area given Constant for grinding wheel

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

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Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

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< 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

Traverse Speed for Cylindrical and Internal Grinder given MRR

Go Traverse Speed in Cylindrical Grinding = Metal removal rate/(pi*Feed Rate*Diameter of Machined Surface)

Material Removal Rate in Cylindrical and Internal Grinder

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

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)

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 Given on Workpiece = Metal removal rate/(Width of Cut*Surface Speed of Workpiece)

Material Removal Rate in Horizontal and Vertical Spindle Surface-Grinder

Go Material Removal Rate = Cross Feed per Cutting Stroke*Back Engagement*Traverse

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

Go Traverse Speed of Work Table = Metal removal rate/(Feed Rate*Depth of Cut)

Grain-aspect Ratio

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

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

Number of Active Grains per Area on Wheel Surface = 6/(Constant for Particular Grinding Wheel*Grain Aspect Ratio*sqrt(Diameter of Grinding Wheel))
C_g = 6/(K*r_g*sqrt(D_t))

What are the different types of grinding?

Some of the popular grinding techniques are - Surface grinding, Cylindrical grinding, Internal grinding, Centerless grinding, Contour grinding, Gear grinding, Thread grinding.

How to Calculate Number of active Grains per unit area given Constant for grinding wheel?

Number of active Grains per unit area given Constant for grinding wheel calculator uses Number of Active Grains per Area on Wheel Surface = 6/(Constant for Particular Grinding Wheel*Grain Aspect Ratio*sqrt(Diameter of Grinding Wheel)) to calculate the Number of Active Grains per Area on Wheel Surface, Number of active Grains per unit area given Constant for grinding wheel is measuring the numbers of abrasive grains that are effectively engaged in the grinding process, using grinding wheel constant 'K', which is specific for that grinding wheel only. This parameter gives us the idea of how much material can be removed from workpiece per pass of grinding wheel. 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 given Constant for grinding wheel using this online calculator? To use this online calculator for Number of active Grains per unit area given Constant for grinding wheel, enter Constant for Particular Grinding Wheel (K), Grain Aspect Ratio (r_g) & Diameter of Grinding Wheel (D_t) and hit the calculate button. Here is how the Number of active Grains per unit area given Constant for grinding wheel calculation can be explained with given input values -> 4.999988 = 6/(13.32346*0.26*sqrt(0.12)).

FAQ

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

Number of active Grains per unit area given Constant for grinding wheel is measuring the numbers of abrasive grains that are effectively engaged in the grinding process, using grinding wheel constant 'K', which is specific for that grinding wheel only. This parameter gives us the idea of how much material can be removed from workpiece per pass of grinding wheel and is represented as C_g = 6/(K*r_g*sqrt(D_t)) or Number of Active Grains per Area on Wheel Surface = 6/(Constant for Particular Grinding Wheel*Grain Aspect Ratio*sqrt(Diameter of Grinding Wheel)). Constant for particular grinding wheel is the constant value for the specific grinding wheel used in grinding operation. This constant depends on different grinding wheel parameters, Grain aspect ratio describes the shape of the abrasive grains embedded within the grinding wheel. It signifies efficiency of grinding wheel based on the grain's shape and fracturing behavior & Diameter of Grinding Wheel is the distance across the widest part of grinding wheel, measured straight through the center of grinding wheel.

How to calculate Number of active Grains per unit area given Constant for grinding wheel?

Number of active Grains per unit area given Constant for grinding wheel is measuring the numbers of abrasive grains that are effectively engaged in the grinding process, using grinding wheel constant 'K', which is specific for that grinding wheel only. This parameter gives us the idea of how much material can be removed from workpiece per pass of grinding wheel is calculated using Number of Active Grains per Area on Wheel Surface = 6/(Constant for Particular Grinding Wheel*Grain Aspect Ratio*sqrt(Diameter of Grinding Wheel)). To calculate Number of active Grains per unit area given Constant for grinding wheel, you need Constant for Particular Grinding Wheel (K), Grain Aspect Ratio (r_g) & Diameter of Grinding Wheel (D_t). With our tool, you need to enter the respective value for Constant for Particular Grinding Wheel, Grain Aspect Ratio & Diameter of Grinding Wheel 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 Constant for Particular Grinding Wheel, Grain Aspect Ratio & Diameter of Grinding Wheel. 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 = Number of Chip Produced per Unit Time/(Surface Speed of Wheel*Back Engagement)

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