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

✖Constant for particular grinding wheel is the constant for different material of grinding wheel used in grinding.ⓘ Constant for Particular Grinding Wheel [K]			+10% -10%
✖Grain aspect ratio is the ratio of maximum width of the chip to the maximum undeformed chip thickness.ⓘ Grain aspect ratio [r_g]			+10% -10%
✖Diameter of Grinding Wheel is the diameter of the wheel used for the grinding.ⓘ Diameter of Grinding Wheel [d_t]			+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 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 present on the surface of grinding wheel per unit area.
Constant for Particular Grinding Wheel - Constant for particular grinding wheel is the constant for different material of grinding wheel used in grinding.
Grain aspect ratio - Grain aspect ratio is the ratio of maximum width of the chip to the maximum undeformed chip thickness.
Diameter of Grinding Wheel - (Measured in Meter) - Diameter of Grinding Wheel is the diameter of the wheel used for the grinding.

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

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 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?

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

The Number of active Grains per unit area given Constant for grinding wheel is defined as the number of grains present on the surface of the grinding wheel per unit area 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 for different material of grinding wheel used in grinding, Grain aspect ratio is the ratio of maximum width of the chip to the maximum undeformed chip thickness & Diameter of Grinding Wheel is the diameter of the wheel used for the grinding.

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

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