✖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%
✖Workpiece Diameter is defined as the size of the workpiece in grinding operation which influences the selection of grinding parameters such as wheel speed, feed rate, and depth of cut.ⓘ Workpiece Diameter [d_w]			+10% -10%

✖Equivalent Wheel Diameter is the size 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"_{"w"}))`

Example

`"6.747683mm"="12.01mm"/(1+("12.01mm"/"15.4mm"))`

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Equivalent wheel diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Equivalent Wheel Diameter = The Diameter of Grinding Tool Wheel/(1+(The Diameter of Grinding Tool Wheel/Workpiece Diameter))
d_e = d_T/(1+(d_T/d_w))
This formula uses 3 Variables

Variables Used

Equivalent Wheel Diameter - (Measured in Meter) - Equivalent Wheel Diameter is the size of the grinding wheel used in plunge surface that would give the same length of work wheel contact for the same feed speed.
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.
Workpiece Diameter - (Measured in Meter) - Workpiece Diameter is defined as the size of the workpiece in grinding operation which influences the selection of grinding parameters such as wheel speed, feed rate, and depth of cut.

STEP 1: Convert Input(s) to Base Unit

The Diameter of Grinding Tool Wheel: 12.01 Millimeter --> 0.01201 Meter (Check conversion here)
Workpiece Diameter: 15.4 Millimeter --> 0.0154 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_e = d_T/(1+(d_T/d_w)) --> 0.01201/(1+(0.01201/0.0154))

Evaluating ... ...

d_e = 0.00674768332725283

STEP 3: Convert Result to Output's Unit

0.00674768332725283 Meter -->6.74768332725283 Millimeter (Check conversion here)

FINAL ANSWER

6.74768332725283 ≈ 6.747683 Millimeter <-- Equivalent Wheel Diameter

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

Wheel diameter given equivalent wheel diameter

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

Constant for grinding wheel

Go Constant for Grinding Wheel = 6/(Number of Active Grains per Area*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 = Number of Chip Produced per Unit Time/(Width of Grinding Path*Number of Active Grains per Area)

Diameter of wheel given Constant for grinding wheel

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

Wheel structure Number given Percentage Volume of Bond material in wheel

Go Structure Number of Wheel = (Percentage Volume of Bond Material in Grinding+8-(1.33*Wheel Hardness Number of Grinding))/2.2

Wheel hardness Number given Percentage Volume of Bond material in wheel

Go Wheel Hardness Number of Grinding = (Percentage Volume of Bond Material in Grinding+8-(2.2*Structure Number of Wheel))/1.33

Diameter of wheel for given Average Length of chip

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

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

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 = (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 = The Diameter of Grinding Tool Wheel/(1+(The Diameter of Grinding Tool Wheel/Workpiece Diameter))
d_e = d_T/(1+(d_T/d_w))

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 = The Diameter of Grinding Tool Wheel/(1+(The Diameter of Grinding Tool Wheel/Workpiece Diameter)) 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 The Diameter of Grinding Tool Wheel (d_T) & Workpiece Diameter (d_w) and hit the calculate button. Here is how the Equivalent wheel diameter calculation can be explained with given input values -> 6744.526 = 0.01201/(1+(0.01201/0.0154)).

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_w)) or Equivalent Wheel Diameter = The Diameter of Grinding Tool Wheel/(1+(The Diameter of Grinding Tool Wheel/Workpiece Diameter)). 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 & Workpiece Diameter is defined as the size of the workpiece in grinding operation which influences the selection of grinding parameters such as wheel speed, feed rate, and depth of cut.

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 = The Diameter of Grinding Tool Wheel/(1+(The Diameter of Grinding Tool Wheel/Workpiece Diameter)). To calculate Equivalent wheel diameter, you need The Diameter of Grinding Tool Wheel (d_T) & Workpiece Diameter (d_w). With our tool, you need to enter the respective value for The Diameter of Grinding Tool Wheel & Workpiece Diameter 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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