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%
✖The Diameter of Grinding Tool Wheel is the diameter of the wheel used for the grinding.ⓘ The Diameter of Grinding Tool Wheel [d_T]			+10% -10%

✖Constant for particular grinding wheel is the constant for different material of grinding wheel used in grinding.ⓘ Constant for grinding wheel [K]

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Formula

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Constant for grinding wheel

Formula

`"K" = 6/("c"_{"g"}*"r"_{"e"}*sqrt("d"_{"T"}))`

Example

`"2.55391"=6/("17.15"*"1.25"*sqrt("12.01mm"))`

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Constant for grinding wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Constant for particular grinding wheel = 6/(Number of active grains per Area on wheel surface*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 particular grinding wheel - Constant for particular grinding wheel is the constant for different material of grinding wheel used in 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.
The 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

Number of active grains per Area on wheel surface: 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 particular 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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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 The Diameter of Grinding Tool Wheel = The wheel removal parameter*Workpiece diameter/(((Machine Infeed speed towards workpiece/The 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 before machining^2)*The Surface speed of wheel/(Surface Speed of Workpiece*sqrt(Feed))

Surface speed of Wheel given constant for grinding wheel

Go The Surface speed of wheel = (Constant for particular grinding wheel*Surface Speed of Workpiece*sqrt(Feed))/(Maximum Undeformed Chip Thickness before machining^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(The Diameter of Grinding Tool Wheel))

Surface speed of wheel given number of chip produce per time

Go Surface speed of wheel for given no of chips = The Number of Chip Produced per Unit Time/(Width of grinding path*Number of active grains per Area on wheel surface)

Wheel diameter given equivalent wheel diameter

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

Diameter of wheel given Constant for grinding wheel

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

Equivalent wheel diameter

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

Diameter of wheel for given Average Length of chip

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

Diameter of wheel for given infeed

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

Wheel structure Number given Percentage Volume of Bond material in wheel

Go Structure Number of Wheel = (The Percentage volume of bond material in grinding+8-(1.33*The wheel hardness number))/2.2

Wheel hardness Number given Percentage Volume of Bond material in wheel

Go The wheel hardness number = (The Percentage volume of bond material in grinding+8-(2.2*Structure Number of Wheel))/1.33

Threshold thrust force given wheel removal parameter

Go Threshold thrust force = Thrust force-(Wheel removal rate/The wheel removal parameter)

Thrust force given wheel removal parameter

Go Thrust force = (Wheel removal rate/The wheel removal parameter)+Threshold thrust force

Machine infeed speed given Feed speed in Grinding

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

Diameter of wheel given Feed speed in Grinding

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

Feed speed in Grinding

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

Diameter of wheel given Average length of chip and Infeed

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

Grain Diameter of grinding wheel

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

Constant for grinding wheel Formula

Constant for particular grinding wheel = 6/(Number of active grains per Area on wheel surface*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 particular grinding wheel = 6/(Number of active grains per Area on wheel surface*Grain aspect ratio*sqrt(The Diameter of Grinding Tool Wheel)) to calculate the Constant for particular grinding wheel, The Constant for grinding wheel is the constant for different materials of the grinding wheel used in grinding. Constant for particular 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 on wheel surface (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?

The Constant for grinding wheel is the constant for different materials of the grinding wheel used in grinding and is represented as K = 6/(c_g*r_e*sqrt(d_T)) or Constant for particular grinding wheel = 6/(Number of active grains per Area on wheel surface*Grain aspect ratio*sqrt(The Diameter of Grinding Tool Wheel)). 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 & The Diameter of Grinding Tool Wheel is the diameter of the wheel used for the grinding.

How to calculate Constant for grinding wheel?

The Constant for grinding wheel is the constant for different materials of the grinding wheel used in grinding is calculated using Constant for particular grinding wheel = 6/(Number of active grains per Area on wheel surface*Grain aspect ratio*sqrt(The Diameter of Grinding Tool Wheel)). To calculate Constant for grinding wheel, you need Number of active grains per Area on wheel surface (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 on wheel surface, 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 particular grinding wheel?

In this formula, Constant for particular grinding wheel uses Number of active grains per Area on wheel surface, 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 particular grinding wheel = (Maximum Undeformed Chip Thickness before machining^2)*The Surface speed of wheel/(Surface Speed of Workpiece*sqrt(Feed))

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