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 Tool Wheel))
Cg = 6/(K*re*sqrt(dt))
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 Tool Wheel - (Measured in Meter) - The Diameter of Grinding Tool Wheel is the diameter of the wheel used for the grinding.
STEP 1: Convert Input(s) to Base Unit
Constant for particular grinding wheel: 2.54 --> No Conversion Required
Grain aspect ratio: 1.25 --> No Conversion Required
Diameter of Grinding Tool Wheel: 120 Millimeter --> 0.12 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cg = 6/(K*re*sqrt(dt)) --> 6/(2.54*1.25*sqrt(0.12))
Evaluating ... ...
Cg = 5.4552781340752
STEP 3: Convert Result to Output's Unit
5.4552781340752 --> No Conversion Required
FINAL ANSWER
5.4552781340752 5.455278 <-- Number of active grains per Area on wheel surface
(Calculation completed in 00.020 seconds)

Credits

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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23 Grinding 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 Tool 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 Tool 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
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 Wheel*Number of active grains per Area on wheel surface)
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*Width of Grinding Path)
Number of chip produced per unit time in Grinding
Go Number of Chip Produced per Unit Time = Surface Speed of 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 Length of 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*Length of Chip)
Average Volume of each Chip
Go Average volume of each Chip = Maximum width of chip*Maximum Undeformed Chip Thickness*Length of Chip/6
Angle made by length of chip
Go Angle made by the length of the chip = asin(2*Length of Chip/Diameter of Grinding Tool Wheel)
Average length of chip
Go Length of Chip = Diameter of Grinding Tool Wheel*sin(Angle made by the length of the chip)/2
Angle made by length of chip given Infeed
Go Angle made by the length of the chip = acos(1-(2*Feed/Diameter of Grinding Tool Wheel))
Infeed for given Angle made by length of chip
Go Feed = (1-cos(Angle made by the length of the chip))*Diameter of Grinding Tool Wheel/2
Infeed given Metal removal rate during Grinding
Go Infeed = Metal removal rate/(Width of Grinding Path*Surface Speed of Workpiece)
Width of Grinding path given Metal removal rate
Go Width of Grinding Path = Metal removal rate/(Feed*Surface Speed of Workpiece)
Metal removal rate during Grinding
Go Metal removal rate = Feed*Width of Grinding Path*Surface Speed of Workpiece
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
Average Volume of each chip given metal removal rate in grinding
Go Average volume of each Chip = 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
Average length of chip given Infeed
Go Length of Chip = sqrt(Feed*Diameter of Grinding Tool Wheel)
Maximum Width of Chip given Max undeformed Chip thickness
Go Maximum width of chip = Grain aspect ratio*Maximum Undeformed Chip Thickness
Grain-aspect Ratio
Go Grain aspect ratio = Maximum width of chip/Maximum Undeformed Chip Thickness
Infeed given Diameter of wheel and average length of chip
Go Feed = (Length of Chip^2)/Diameter of Grinding Tool Wheel

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 Tool Wheel))
Cg = 6/(K*re*sqrt(dt))

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 Tool 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 Cg 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 (re) & Diameter of Grinding Tool Wheel (dt) 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 -> 5.455278 = 6/(2.54*1.25*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 Cg = 6/(K*re*sqrt(dt)) or Number of active grains per Area on wheel surface = 6/(Constant for particular grinding wheel*Grain aspect ratio*sqrt(Diameter of Grinding Tool 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 & The Diameter of Grinding Tool 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 Tool 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 (re) & Diameter of Grinding Tool Wheel (dt). With our tool, you need to enter the respective value for Constant for particular grinding wheel, Grain aspect ratio & Diameter of Grinding Tool 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 Tool 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*Width of Grinding Path)
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