Diameter of wheel given 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%
✖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]			+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.ⓘ Diameter of wheel given Constant for grinding wheel [d_T]

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Diameter of wheel given Constant for grinding wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

The Diameter of Grinding Tool Wheel = (6/(Number of Active Grains per Area*Grain Aspect Ratio*Constant for Grinding Wheel))^2
d_T = (6/(c_g*r_e*K))^2
This formula uses 4 Variables

Variables Used

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.
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.
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.

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
Constant for Grinding Wheel: 2.54 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_T = (6/(c_g*r_e*K))^2 --> (6/(17.15*1.25*2.54))^2

Evaluating ... ...

d_T = 0.0121419039427935

STEP 3: Convert Result to Output's Unit

0.0121419039427935 Meter -->12.1419039427935 Millimeter (Check conversion here)

FINAL ANSWER

12.1419039427935 ≈ 12.1419 Millimeter <-- The Diameter of Grinding Tool 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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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

Diameter of wheel given Constant for grinding wheel Formula

LaTeX Go

The Diameter of Grinding Tool Wheel = (6/(Number of Active Grains per Area*Grain Aspect Ratio*Constant for Grinding Wheel))^2
d_T = (6/(c_g*r_e*K))^2

What are cut off wheels made of?

Discs. Often cutting discs, also known as cut-off wheels, are made from a solid abrasive disc. These discs are often used for cutting metal; they are composed of an abrasive mix of grit and adhesive that is formed into a thin, rigid disc with fiber webbing running through it for strength.

How to Calculate Diameter of wheel given Constant for grinding wheel?

Diameter of wheel given Constant for grinding wheel calculator uses The Diameter of Grinding Tool Wheel = (6/(Number of Active Grains per Area*Grain Aspect Ratio*Constant for Grinding Wheel))^2 to calculate the The Diameter of Grinding Tool Wheel, The Diameter of wheel given constant for grinding wheel is defined as the specific size chosen to ensure consistent performance in terms of material removal or surface finish, irrespective of other grinding parameters. The Diameter of Grinding Tool Wheel is denoted by d_T symbol.

How to calculate Diameter of wheel given Constant for grinding wheel using this online calculator? To use this online calculator for Diameter of wheel given Constant for grinding wheel, enter Number of Active Grains per Area (c_g), Grain Aspect Ratio (r_e) & Constant for Grinding Wheel (K) and hit the calculate button. Here is how the Diameter of wheel given Constant for grinding wheel calculation can be explained with given input values -> 12141.9 = (6/(17.15*1.25*2.54))^2.

FAQ

What is Diameter of wheel given Constant for grinding wheel?

The Diameter of wheel given constant for grinding wheel is defined as the specific size chosen to ensure consistent performance in terms of material removal or surface finish, irrespective of other grinding parameters and is represented as d_T = (6/(c_g*r_e*K))^2 or The Diameter of Grinding Tool Wheel = (6/(Number of Active Grains per Area*Grain Aspect Ratio*Constant for Grinding Wheel))^2. 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 & Constant for grinding wheel is a measure of how much material a grinding wheel removes compared to the amount of wear it experiences.

How to calculate Diameter of wheel given Constant for grinding wheel?

The Diameter of wheel given constant for grinding wheel is defined as the specific size chosen to ensure consistent performance in terms of material removal or surface finish, irrespective of other grinding parameters is calculated using The Diameter of Grinding Tool Wheel = (6/(Number of Active Grains per Area*Grain Aspect Ratio*Constant for Grinding Wheel))^2. To calculate Diameter of wheel given Constant for grinding wheel, you need Number of Active Grains per Area (c_g), Grain Aspect Ratio (r_e) & Constant for Grinding Wheel (K). With our tool, you need to enter the respective value for Number of Active Grains per Area, Grain Aspect Ratio & Constant for 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 The Diameter of Grinding Tool Wheel?

In this formula, The Diameter of Grinding Tool Wheel uses Number of Active Grains per Area, Grain Aspect Ratio & Constant for Grinding Wheel. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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