Workpiece diameter given equivalent wheel diameter Calculator

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

✖Grinding Workpiece diameter is defined as the diameter of the workpiece which is undergoing grinding.ⓘ Workpiece diameter given equivalent wheel diameter [d_wp]

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Formula

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Workpiece diameter given equivalent wheel diameter

Formula

`"d"_{"wp"} = "d"_{"E"}*"d"_{"t"}/("d"_{"t"}-"d"_{"E"})`

Example

`"100.5mm"="10.72mm"*"12mm"/("12mm"-"10.72mm")`

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Workpiece diameter given equivalent wheel diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Grinding Workpiece diameter = Equivalent Grinding Wheel diameter*Diameter of Grinding Tool Wheel/(Diameter of Grinding Tool Wheel-Equivalent Grinding Wheel diameter)
d_wp = d_E*d_t/(d_t-d_E)
This formula uses 3 Variables

Variables Used

Grinding Workpiece diameter - (Measured in Meter) - Grinding Workpiece diameter is defined as the diameter of the workpiece which is undergoing grinding.
Equivalent Grinding Wheel diameter - (Measured in Meter) - Equivalent Grinding 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) - Diameter of Grinding Tool Wheel is the diameter of the wheel used for the grinding.

STEP 1: Convert Input(s) to Base Unit

Equivalent Grinding Wheel diameter: 10.72 Millimeter --> 0.01072 Meter (Check conversion here)
Diameter of Grinding Tool Wheel: 12 Millimeter --> 0.012 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_wp = d_E*d_t/(d_t-d_E) --> 0.01072*0.012/(0.012-0.01072)

Evaluating ... ...

d_wp = 0.1005

STEP 3: Convert Result to Output's Unit

0.1005 Meter -->100.5 Millimeter (Check conversion here)

FINAL ANSWER

100.5 Millimeter <-- Grinding Workpiece diameter

(Calculation completed in 00.020 seconds)

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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

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< 14 Workpiece Calculators

Diameter of workpiece given feed and machine infeed speed

Go Grinding Workpiece diameter = Workpiece removal parameter per unit time*Diameter of Grinding Tool Wheel*((Machine Infeed speed/Feed Speed)-1)/The wheel removal parameter per unit time

Surface speed of workpiece given constant for grinding wheel

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

Workpiece diameter given equivalent wheel diameter

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

Workpiece removal parameter given number of workpiece revolution

Go Workpiece removal parameter per unit time = 2*The Surface Speed of Workpiece*The Width of grinding path/(The Number of Workpiece revolution*Effective stiffness)

Workpiece surface speed given number of workpiece revolutions

Go The Surface Speed of Workpiece = The Number of Workpiece revolution*Workpiece removal parameter per unit time*Effective stiffness/(2*The Width of grinding path)

Width of Grinding path given number of workpiece revolutions

Go The Width of grinding path = The Number of Workpiece revolution*Workpiece removal parameter per unit time*Effective stiffness/(2*The Surface Speed of Workpiece)

System stiffness given Number of workpiece revolution

Go Effective stiffness = 2*The Surface Speed of Workpiece*The Width of grinding path/(Workpiece removal parameter per unit time*The Number of Workpiece revolution)

Number of workpiece revolution

Go The Number of Workpiece revolution = 2*The Surface Speed of Workpiece*The Width of grinding path/(Workpiece removal parameter per unit time*Effective stiffness)

Diameter of workpiece given Metal removal rate

Go Grinding Workpiece diameter = Metal removal rate (MRR)/(Feed Speed*pi*The Width of grinding path)

Surface Speed of workpiece given Metal removal rate during grinding

Go The Surface Speed of Workpiece = Material removal rate (MRR)/(The Feed*The Width of grinding path)

Percentage Volume of Bond material in wheel of grinding

Go Percentage volume of bond material in grinding = (1.33*Wheel hardness number)+(2.2*Wheel structure number)-8

Number of workpiece revolutions given Time taken for spark out operation

Go The Number of Workpiece revolution = Time taken for spark-out operation*Rotational Frequency

Rotational frequency of workpiece given Number of workpiece revolution

Go Rotational Frequency = The Number of Workpiece revolution/Time taken for spark-out operation

Proportion of Total Energy flowing into workpiece

Go Proportion of total energy flowing into workpiece = (0.6+0.05*Relative Contact Area of Grain is the area)*100

Workpiece diameter given equivalent wheel diameter Formula

Grinding Workpiece diameter = Equivalent Grinding Wheel diameter*Diameter of Grinding Tool Wheel/(Diameter of Grinding Tool Wheel-Equivalent Grinding Wheel diameter)
d_wp = d_E*d_t/(d_t-d_E)

What is grinding wheel specification?

Diamond/CBN grinding wheels (super abrasive wheels) can be applied to various specifications by combining "abrasive grain (abrasive grain type)", "grain size (abrasive grain size)", "bond strength", "degree of concentration (grain concentration in bond)", and "bond type (bonding material)".

How to Calculate Workpiece diameter given equivalent wheel diameter?

Workpiece diameter given equivalent wheel diameter calculator uses Grinding Workpiece diameter = Equivalent Grinding Wheel diameter*Diameter of Grinding Tool Wheel/(Diameter of Grinding Tool Wheel-Equivalent Grinding Wheel diameter) to calculate the Grinding Workpiece diameter, The Workpiece diameter given equivalent wheel diameter is defined as the diameter of the workpiece which is undergoing grinding. Grinding Workpiece diameter is denoted by d_wp symbol.

How to calculate Workpiece diameter given equivalent wheel diameter using this online calculator? To use this online calculator for Workpiece diameter given equivalent wheel diameter, enter Equivalent Grinding Wheel diameter (d_E) & Diameter of Grinding Tool Wheel (d_t) and hit the calculate button. Here is how the Workpiece diameter given equivalent wheel diameter calculation can be explained with given input values -> 63789.47 = 0.01072*0.012/(0.012-0.01072).

FAQ

What is Workpiece diameter given equivalent wheel diameter?

The Workpiece diameter given equivalent wheel diameter is defined as the diameter of the workpiece which is undergoing grinding and is represented as d_wp = d_E*d_t/(d_t-d_E) or Grinding Workpiece diameter = Equivalent Grinding Wheel diameter*Diameter of Grinding Tool Wheel/(Diameter of Grinding Tool Wheel-Equivalent Grinding Wheel diameter). Equivalent Grinding 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 is the diameter of the wheel used for the grinding.

How to calculate Workpiece diameter given equivalent wheel diameter?

The Workpiece diameter given equivalent wheel diameter is defined as the diameter of the workpiece which is undergoing grinding is calculated using Grinding Workpiece diameter = Equivalent Grinding Wheel diameter*Diameter of Grinding Tool Wheel/(Diameter of Grinding Tool Wheel-Equivalent Grinding Wheel diameter). To calculate Workpiece diameter given equivalent wheel diameter, you need Equivalent Grinding Wheel diameter (d_E) & Diameter of Grinding Tool Wheel (d_t). With our tool, you need to enter the respective value for Equivalent Grinding Wheel diameter & 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 Grinding Workpiece diameter?

In this formula, Grinding Workpiece diameter uses Equivalent Grinding Wheel diameter & Diameter of Grinding Tool Wheel. We can use 2 other way(s) to calculate the same, which is/are as follows -

Grinding Workpiece diameter = Metal removal rate (MRR)/(Feed Speed*pi*The Width of grinding path)
Grinding Workpiece diameter = Workpiece removal parameter per unit time*Diameter of Grinding Tool Wheel*((Machine Infeed speed/Feed Speed)-1)/The wheel removal parameter per unit time

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