Constant for grinding wheel Calculator

✖Number of Active Grains per Area is defined as the number of grains present on the surface of grinding wheel per unit area.ⓘ Number of Active Grains per Area [c_g]			+10% -10%
✖Grain Aspect Ratio is the ratio of maximum width of the chip to the maximum undeformed chip thickness.ⓘ Grain Aspect Ratio [r_e]			+10% -10%
✖The Diameter of Grinding Tool Wheel is the size of grinding wheel and a critical parameter in grinding operations. It determines the wheel's cutting speed, material removal rate, and surface finish.ⓘ The Diameter of Grinding Tool Wheel [d_T]			+10% -10%

✖Constant for grinding wheel is a measure of how much material a grinding wheel removes compared to the amount of wear it experiences.ⓘ Constant for grinding wheel [K]

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Constant for grinding wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Constant for Grinding Wheel = 6/(Number of Active Grains per Area*Grain Aspect Ratio*sqrt(The Diameter of Grinding Tool Wheel))
K = 6/(c_g*r_e*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

Constant for Grinding Wheel - Constant for grinding wheel is a measure of how much material a grinding wheel removes compared to the amount of wear it experiences.
Number of Active Grains per Area - Number of Active Grains per Area is defined as the number of grains present on the surface of grinding wheel per unit area.
Grain Aspect Ratio - Grain Aspect Ratio is the ratio of maximum width of the chip to the maximum undeformed chip thickness.
The Diameter of Grinding Tool Wheel - (Measured in Meter) - The Diameter of Grinding Tool Wheel is the size of grinding wheel and a critical parameter in grinding operations. It determines the wheel's cutting speed, material removal rate, and surface finish.

STEP 1: Convert Input(s) to Base Unit

Number of Active Grains per Area: 17.15 --> No Conversion Required
Grain Aspect Ratio: 1.25 --> No Conversion Required
The Diameter of Grinding Tool Wheel: 12.01 Millimeter --> 0.01201 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = 6/(c_g*r_e*sqrt(d_T)) --> 6/(17.15*1.25*sqrt(0.01201))

Evaluating ... ...

K = 2.55391012156256

STEP 3: Convert Result to Output's Unit

2.55391012156256 --> No Conversion Required

FINAL ANSWER

2.55391012156256 ≈ 2.55391 <-- Constant for Grinding Wheel

(Calculation completed in 00.004 seconds)

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

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Verified by Kumar Siddhant

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

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< Wheel Calculators

Surface speed of wheel given number of chip produce per time

LaTeX Go Surface Speed of Wheel for Given No of Chips = Number of Chip Produced per Unit Time/(Width of Grinding Path*Number of Active Grains per Area)

Diameter of wheel for given Average Length of chip

LaTeX Go The Diameter of Grinding Tool Wheel = 2*Length of Chip/sin(Angle Made by the Length of Chip)

Diameter of wheel for given infeed

LaTeX Go The Diameter of Grinding Tool Wheel = 2*Feed/(1-cos(Angle Made by the Length of Chip))

Diameter of wheel given Average length of chip and Infeed

LaTeX Go The Diameter of Grinding Tool Wheel = (Length of Chip)^2/Feed

Constant for grinding wheel Formula

LaTeX Go

Constant for Grinding Wheel = 6/(Number of Active Grains per Area*Grain Aspect Ratio*sqrt(The Diameter of Grinding Tool Wheel))
K = 6/(c_g*r_e*sqrt(d_T))

What is the difference between cutting wheel and grinding wheel?

Cutting-off wheels are thin by design and do not have adequate lateral strength for side grinding. The fiberglass reinforcement is in the wheel to add strength. Regardless of what type of grinding wheel you are using, grinding must only be performed on the surface of the wheel for which it is designed.

How to Calculate Constant for grinding wheel?

Constant for grinding wheel calculator uses Constant for Grinding Wheel = 6/(Number of Active Grains per Area*Grain Aspect Ratio*sqrt(The Diameter of Grinding Tool Wheel)) to calculate the Constant for Grinding Wheel, Constant for grinding wheel is used to quantify the effectiveness of a grinding wheel in removing material during the grinding process and it depend on abrasive material, grit size, bond type, porosity, and shape of the grinding wheel. It relates the constant for the grinding wheel to the number of active grains, their aspect ratio, and the diameter of the wheel. Constant for Grinding Wheel is denoted by K symbol.

How to calculate Constant for grinding wheel using this online calculator? To use this online calculator for Constant for grinding wheel, enter Number of Active Grains per Area (c_g), Grain Aspect Ratio (r_e) & The Diameter of Grinding Tool Wheel (d_T) and hit the calculate button. Here is how the Constant for grinding wheel calculation can be explained with given input values -> 2.554974 = 6/(17.15*1.25*sqrt(0.01201)).

FAQ

What is Constant for grinding wheel?

Constant for grinding wheel is used to quantify the effectiveness of a grinding wheel in removing material during the grinding process and it depend on abrasive material, grit size, bond type, porosity, and shape of the grinding wheel. It relates the constant for the grinding wheel to the number of active grains, their aspect ratio, and the diameter of the wheel and is represented as K = 6/(c_g*r_e*sqrt(d_T)) or Constant for Grinding Wheel = 6/(Number of Active Grains per Area*Grain Aspect Ratio*sqrt(The Diameter of Grinding Tool Wheel)). Number of Active Grains per Area is defined as the number of grains present on the surface of grinding wheel per unit area, 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 size of grinding wheel and a critical parameter in grinding operations. It determines the wheel's cutting speed, material removal rate, and surface finish.

How to calculate Constant for grinding wheel?

Constant for grinding wheel is used to quantify the effectiveness of a grinding wheel in removing material during the grinding process and it depend on abrasive material, grit size, bond type, porosity, and shape of the grinding wheel. It relates the constant for the grinding wheel to the number of active grains, their aspect ratio, and the diameter of the wheel is calculated using Constant for Grinding Wheel = 6/(Number of Active Grains per Area*Grain Aspect Ratio*sqrt(The Diameter of Grinding Tool Wheel)). To calculate Constant for grinding wheel, you need Number of Active Grains per Area (c_g), Grain Aspect Ratio (r_e) & The Diameter of Grinding Tool Wheel (d_T). With our tool, you need to enter the respective value for Number of Active Grains per Area, Grain Aspect Ratio & The 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 Constant for Grinding Wheel?

In this formula, Constant for Grinding Wheel uses Number of Active Grains per Area, Grain Aspect Ratio & The Diameter of Grinding Tool Wheel. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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