Equivalent wheel diameter Calculator

✖The Diameter of Grinding Tool Wheel is the diameter of the wheel used for the grinding.ⓘ Diameter of Grinding Tool Wheel [d_t]			+10% -10%
✖The Diameter of Workpiece is defined as the diameter of the workpiece which is undergoing grinding.ⓘ Diameter of Workpiece [d_workpiece]			+10% -10%

✖Equivalent Wheel Diameter is the diameter of the grinding wheel used in plunge surface that would give the same length of work wheel contact for the same feed speed.ⓘ Equivalent wheel diameter [d_e]

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Formula

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Equivalent wheel diameter

Formula

`"d"_{"e"} = "d"_{"t"}/(1+("d"_{"t"}/"d"_{"workpiece"}))`

Example

`"10.36735mm"="12mm"/(1+("12mm"/"76.20mm"))`

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Equivalent wheel diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Equivalent Wheel Diameter = Diameter of Grinding Tool Wheel/(1+(Diameter of Grinding Tool Wheel/Diameter of Workpiece))
d_e = d_t/(1+(d_t/d_workpiece))
This formula uses 3 Variables

Variables Used

Equivalent Wheel Diameter - (Measured in Meter) - Equivalent Wheel Diameter is the diameter of the grinding wheel used in plunge surface that would give the same length of work wheel contact for the same feed speed.
Diameter of Grinding Tool Wheel - (Measured in Meter) - The Diameter of Grinding Tool Wheel is the diameter of the wheel used for the grinding.
Diameter of Workpiece - (Measured in Meter) - The Diameter of Workpiece is defined as the diameter of the workpiece which is undergoing grinding.

STEP 1: Convert Input(s) to Base Unit

Diameter of Grinding Tool Wheel: 12 Millimeter --> 0.012 Meter (Check conversion here)
Diameter of Workpiece: 76.2 Millimeter --> 0.0762 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_e = d_t/(1+(d_t/d_workpiece)) --> 0.012/(1+(0.012/0.0762))

Evaluating ... ...

d_e = 0.0103673469387755

STEP 3: Convert Result to Output's Unit

0.0103673469387755 Meter -->10.3673469387755 Millimeter (Check conversion here)

FINAL ANSWER

10.3673469387755 ≈ 10.36735 Millimeter <-- Equivalent Wheel Diameter

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Machine Tools and Operations » Grinding Operation » Analysis of Grinding Process » Cylindrical Grinding cycle » Wheel » Equivalent wheel diameter

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has created this Calculator and 300+ more calculators!

Verified by Kumar Siddhant

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

Kumar Siddhant has verified this Calculator and 100+ more calculators!

< 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)

Equivalent wheel diameter Formula

Equivalent Wheel Diameter = Diameter of Grinding Tool Wheel/(1+(Diameter of Grinding Tool Wheel/Diameter of Workpiece))
d_e = d_t/(1+(d_t/d_workpiece))

What is grade of grinding wheel?

The term "grade" as applied to a grinding wheel refers to the tenacity or hardness with which the bond holds the cutting points or abrasive grains in place. It does not refer to the hardness of the abrasive grain.

How to Calculate Equivalent wheel diameter?

Equivalent wheel diameter calculator uses Equivalent Wheel Diameter = Diameter of Grinding Tool Wheel/(1+(Diameter of Grinding Tool Wheel/Diameter of Workpiece)) to calculate the Equivalent Wheel Diameter, The Equivalent wheel diameter formula is used to find the diameter of the grinding wheel used in plunge surface that would give the same length of work wheel contact for the same feed speed. Equivalent Wheel Diameter is denoted by d_e symbol.

How to calculate Equivalent wheel diameter using this online calculator? To use this online calculator for Equivalent wheel diameter, enter Diameter of Grinding Tool Wheel (d_t) & Diameter of Workpiece (d_workpiece) and hit the calculate button. Here is how the Equivalent wheel diameter calculation can be explained with given input values -> 46605.5 = 0.012/(1+(0.012/0.0762)).

FAQ

What is Equivalent wheel diameter?

The Equivalent wheel diameter formula is used to find the diameter of the grinding wheel used in plunge surface that would give the same length of work wheel contact for the same feed speed and is represented as d_e = d_t/(1+(d_t/d_workpiece)) or Equivalent Wheel Diameter = Diameter of Grinding Tool Wheel/(1+(Diameter of Grinding Tool Wheel/Diameter of Workpiece)). The Diameter of Grinding Tool Wheel is the diameter of the wheel used for the grinding & The Diameter of Workpiece is defined as the diameter of the workpiece which is undergoing grinding.

How to calculate Equivalent wheel diameter?

The Equivalent wheel diameter formula is used to find the diameter of the grinding wheel used in plunge surface that would give the same length of work wheel contact for the same feed speed is calculated using Equivalent Wheel Diameter = Diameter of Grinding Tool Wheel/(1+(Diameter of Grinding Tool Wheel/Diameter of Workpiece)). To calculate Equivalent wheel diameter, you need Diameter of Grinding Tool Wheel (d_t) & Diameter of Workpiece (d_workpiece). With our tool, you need to enter the respective value for Diameter of Grinding Tool Wheel & Diameter of Workpiece and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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