Diameter of wheel given Constant for grinding wheel Calculator

✖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 Area on wheel surface [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 particular grinding wheel is the constant for different material of grinding wheel used in grinding.ⓘ Constant for particular grinding wheel [K]			+10% -10%

✖The Diameter of Grinding Tool Wheel is the diameter of the wheel used for the grinding.ⓘ Diameter of wheel given Constant for grinding wheel [d_t]

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Formula

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Diameter of wheel given Constant for grinding wheel

Formula

`"d"_{"t"} = (6/("C"_{"g"}*"r"_{"e"}*"K"))^2`

Example

`"18.22044mm"=(6/("14"*"1.25"*"2.54"))^2`

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Diameter of wheel given Constant for grinding wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Grinding Tool Wheel = (6/(Number of active grains per Area on wheel surface*Grain aspect ratio*Constant for particular grinding wheel))^2
d_t = (6/(C_g*r_e*K))^2
This formula uses 4 Variables

Variables Used

Diameter of Grinding Tool Wheel - (Measured in Meter) - The Diameter of Grinding Tool Wheel is the diameter of the wheel used for the grinding.
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.
Grain aspect ratio - Grain aspect ratio is the ratio of maximum width of the chip to the maximum undeformed chip thickness.
Constant for particular grinding wheel - Constant for particular grinding wheel is the constant for different material of grinding wheel used in grinding.

STEP 1: Convert Input(s) to Base Unit

Number of active grains per Area on wheel surface: 14 --> No Conversion Required
Grain aspect ratio: 1.25 --> No Conversion Required
Constant for particular 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/(14*1.25*2.54))^2

Evaluating ... ...

d_t = 0.0182204446041545

STEP 3: Convert Result to Output's Unit

0.0182204446041545 Meter -->18.2204446041545 Millimeter (Check conversion here)

FINAL ANSWER

18.2204446041545 ≈ 18.22044 Millimeter <-- 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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< 19 Wheel Calculators

Diameter of wheel given feed and machine infeed speed

Go Diameter of Grinding Tool Wheel = Wheel Removal Parameter*Diameter of Workpiece/(((Machine Infeed speed/Feed Speed)-1)*Workpiece removal parameter)

Constant for grinding wheel given maximum undeformed chip thickness

Go Constant for particular grinding wheel = (Maximum Undeformed Chip Thickness^2)*Surface Speed of Wheel/(Surface Speed of Workpiece*sqrt(Feed))

Surface speed of Wheel given constant for grinding wheel

Go Surface Speed of Wheel = (Constant for particular grinding wheel*Surface Speed of Workpiece*sqrt(Feed))/(Maximum Undeformed Chip Thickness^2)

Constant for grinding wheel

Go Constant for particular grinding wheel = 6/(Number of active grains per Area on wheel surface*Grain aspect ratio*sqrt(Diameter of Grinding Tool Wheel))

Wheel diameter given equivalent wheel diameter

Go Diameter of Grinding Tool Wheel = Equivalent Wheel Diameter*Diameter of Workpiece/(Diameter of Workpiece-Equivalent Wheel Diameter)

Diameter of wheel given Constant for grinding wheel

Go Diameter of Grinding Tool Wheel = (6/(Number of active grains per Area on wheel surface*Grain aspect ratio*Constant for particular grinding wheel))^2

Surface speed of wheel given number of chip produce per time

Go Surface Speed of Wheel = Number of Chip Produced per Unit Time/(Width of Grinding Path*Number of active grains per Area on wheel surface)

Equivalent wheel diameter

Go Equivalent Wheel Diameter = Diameter of Grinding Tool Wheel/(1+(Diameter of Grinding Tool Wheel/Diameter of Workpiece))

Diameter of wheel for given Average Length of chip

Go Diameter of Grinding Tool Wheel = 2*Length of Chip/sin(Angle made by the length of the chip)

Diameter of wheel for given infeed

Go Diameter of Grinding Tool Wheel = 2*Feed/(1-cos(Angle made by the length of the chip))

Threshold thrust force given wheel removal parameter

Go Threshold Thrust Force = Thrust Force-(Wheel Removal Rate/Wheel Removal Parameter)

Thrust force given wheel removal parameter

Go Thrust Force = (Wheel Removal Rate/Wheel Removal Parameter)+Threshold Thrust Force

Wheel structure Number given Percentage Volume of Bond material in wheel

Go Wheel structure number = (Percentage Volume of Bond Material in Grinding+8-(1.33*Wheel hardness number))/2.2

Wheel hardness Number given Percentage Volume of Bond material in wheel

Go Wheel hardness number = (Percentage Volume of Bond Material in Grinding+8-(2.2*Wheel structure number))/1.33

Machine infeed speed given Feed speed in Grinding

Go Machine Infeed speed = Feed Speed+(Diameter of Grinding Tool Wheel/2)

Diameter of wheel given Feed speed in Grinding

Go Diameter of Grinding Tool Wheel = 2*(Machine Infeed speed-Feed Speed)

Feed speed in Grinding

Go Feed Speed = Machine Infeed speed-(Diameter of Grinding Tool Wheel/2)

Diameter of wheel given Average length of chip and Infeed

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

Grain Diameter of grinding wheel

Go Grain diameter of the grinding wheel = 0.0254/Grain size (in mm)

Diameter of wheel given Constant for grinding wheel Formula

Diameter of Grinding Tool Wheel = (6/(Number of active grains per Area on wheel surface*Grain aspect ratio*Constant for particular 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 Diameter of Grinding Tool Wheel = (6/(Number of active grains per Area on wheel surface*Grain aspect ratio*Constant for particular grinding wheel))^2 to calculate the Diameter of Grinding Tool Wheel, The Diameter of wheel given Constant for grinding wheel formula determines the diameter of the wheel used for the grinding. 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 on wheel surface (C_g), Grain aspect ratio (r_e) & Constant for particular 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 -> 18220.44 = (6/(14*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 formula determines the diameter of the wheel used for the grinding and is represented as d_t = (6/(C_g*r_e*K))^2 or Diameter of Grinding Tool Wheel = (6/(Number of active grains per Area on wheel surface*Grain aspect ratio*Constant for particular grinding wheel))^2. 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, Grain aspect ratio is the ratio of maximum width of the chip to the maximum undeformed chip thickness & Constant for particular grinding wheel is the constant for different material of grinding wheel used in grinding.

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

The Diameter of wheel given Constant for grinding wheel formula determines the diameter of the wheel used for the grinding is calculated using Diameter of Grinding Tool Wheel = (6/(Number of active grains per Area on wheel surface*Grain aspect ratio*Constant for particular grinding wheel))^2. To calculate Diameter of wheel given Constant for grinding wheel, you need Number of active grains per Area on wheel surface (C_g), Grain aspect ratio (r_e) & Constant for particular grinding wheel (K). With our tool, you need to enter the respective value for Number of active grains per Area on wheel surface, Grain aspect ratio & Constant for particular 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 Diameter of Grinding Tool Wheel?

In this formula, Diameter of Grinding Tool Wheel uses Number of active grains per Area on wheel surface, Grain aspect ratio & Constant for particular grinding wheel. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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