✖Material removal rate during grinding (MRR) refers to the amount of volume removed form workpiece in a specified time frame. It is a crucial parameter in machining for different analysis.ⓘ Material Removal Rate During Grinding [Z_g]			+10% -10%
✖Thrust Force refers to the force acting in the direction parallel to the grinding wheel's axis during the material removal process. It's the feeding force applied to the workpiece against the wheel.ⓘ Thrust Force [F_t]			+10% -10%
✖Threshold Thrust Force refers to the minimum amount of force required between the grinding wheel and the workpiece to initiate effective material removal.ⓘ Threshold Thrust Force [F_t0]			+10% -10%

✖Workpiece removal parameter refers to the rate of removal of material from workpiece with thrust force induced between workpiece and wheel.ⓘ Workpiece removal parameter given metal removal rate [Λ_w]

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Formula

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Workpiece removal parameter given metal removal rate

Formula

`"Λ"_{"w"} = "Z"_{"g"}/("F"_{"t"}-"F"_{"t0"})`

Example

`"10"="430m³/s"/("45N"-"2N")`

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Workpiece removal parameter given metal removal rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Workpiece Removal Parameter = Material Removal Rate During Grinding/(Thrust Force-Threshold Thrust Force)
Λ_w = Z_g/(F_t-F_t0)
This formula uses 4 Variables

Variables Used

Workpiece Removal Parameter - Workpiece removal parameter refers to the rate of removal of material from workpiece with thrust force induced between workpiece and wheel.
Material Removal Rate During Grinding - (Measured in Cubic Meter per Second) - Material removal rate during grinding (MRR) refers to the amount of volume removed form workpiece in a specified time frame. It is a crucial parameter in machining for different analysis.
Thrust Force - (Measured in Newton) - Thrust Force refers to the force acting in the direction parallel to the grinding wheel's axis during the material removal process. It's the feeding force applied to the workpiece against the wheel.
Threshold Thrust Force - (Measured in Newton) - Threshold Thrust Force refers to the minimum amount of force required between the grinding wheel and the workpiece to initiate effective material removal.

STEP 1: Convert Input(s) to Base Unit

Material Removal Rate During Grinding: 430 Cubic Meter per Second --> 430 Cubic Meter per Second No Conversion Required
Thrust Force: 45 Newton --> 45 Newton No Conversion Required
Threshold Thrust Force: 2 Newton --> 2 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Λ_w = Z_g/(F_t-F_t0) --> 430/(45-2)

Evaluating ... ...

Λ_w = 10

STEP 3: Convert Result to Output's Unit

10 --> No Conversion Required

FINAL ANSWER

10 <-- Workpiece Removal Parameter

(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 Removal Parameters Calculators

Machine infeed speed given workpiece and wheel removal parameter

Go Machine Infeed Speed = Feed Speed*(1+(Wheel Removal Parameter*Diameter of Workpiece)/(Workpiece Removal Parameter*Diameter of Grinding Tool Wheel))

Feed speed given workpiece and wheel removal parameter

Go Feed Speed = Machine Infeed Speed/(1+(Wheel Removal Parameter*Diameter of Workpiece)/(Workpiece Removal Parameter*Diameter of Grinding Tool Wheel))

Workpiece removal parameter given feed and machine infeed speed

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

Wheel removal parameter given feed and machine infeed speed

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

Width of cut given Metal removal rate

Go Width of Grinding Path = Metal Removal Rate in Grinding/(Feed Speed*pi*Diameter of Workpiece)

Feed speed given Metal removal rate

Go Feed Speed = Metal Removal Rate in Grinding/(pi*Diameter of Workpiece*Width of Grinding Path)

Metal removal rate given Diameter of workpiece

Go Metal Removal Rate in Grinding = pi*Diameter of Workpiece*Width of Grinding Path*Feed Speed

Metal removal rate given workpiece removal parameter

Go Material Removal Rate During Grinding = (Thrust Force-Threshold Thrust Force)*Workpiece Removal Parameter

Workpiece removal parameter given metal removal rate

Go Workpiece Removal Parameter = Material Removal Rate During Grinding/(Thrust Force-Threshold Thrust Force)

Threshold thrust force given workpiece removal parameter

Go Threshold Thrust Force = Thrust Force-Material Removal Rate During Grinding/Workpiece Removal Parameter

Thrust force given workpiece removal parameter

Go Thrust Force = Material Removal Rate During Grinding/Workpiece Removal Parameter+Threshold Thrust Force

Wheel removal rate given Wheel removal parameter

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

Wheel removal parameter given wheel removal rate

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

Time taken for spark-out operation

Go Time Taken for Spark-Out Operation = Number of Workpiece Revolution/Rotational Frequency of Workpiece

Workpiece removal parameter given Grinding ratio

Go Workpiece Removal Parameter = Grinding Ratio*Wheel Removal Parameter

Wheel removal parameter given Grinding ratio

Go Wheel Removal Parameter = Workpiece Removal Parameter/Grinding Ratio

Grinding ratio

Go Grinding Ratio = Workpiece Removal Parameter/Wheel Removal Parameter

Relative contact area of grains given Total Energy flowing into workpiece

Go Relative Contact Area = (Percentage of Total Energy Flowing into Workpiece-60)/5

Grain size given grain Diameter

Go Grain Size = 0.0254/Grain Diameter

Workpiece removal parameter given metal removal rate Formula

Workpiece Removal Parameter = Material Removal Rate During Grinding/(Thrust Force-Threshold Thrust Force)
Λ_w = Z_g/(F_t-F_t0)

What is Material Removal Rate?

Metal removal rate (MRR) in grinding refers to the speed at which material is ground away from the workpiece, typically measured in volume per unit of time (often cubic millimeters per second). It's a key indicator of the grinding process's efficiency. A higher MRR signifies faster material removal, potentially leading to quicker completion of grinding tasks. However, there's a balance to be struck. Pushing for an excessively high MRR can increase grinding forces, potentially damaging the grinding wheel, workpiece, or both. Finding the optimal MRR allows for efficient material removal while maintaining quality and avoiding damage.

How to Calculate Workpiece removal parameter given metal removal rate?

Workpiece removal parameter given metal removal rate calculator uses Workpiece Removal Parameter = Material Removal Rate During Grinding/(Thrust Force-Threshold Thrust Force) to calculate the Workpiece Removal Parameter, Workpiece removal parameter given metal removal rate is a value established by Hahn and Lindsay in grinding analysis. It's determined experimentally and depends on factors like the workpiece material. This parameter essentially elucidates the relationship between the rate at which material is removed from the workpiece and the thrust force applied between the workpiece and the grinding wheel. It's a crucial aspect of understanding and optimizing the grinding process for efficiency and quality. Workpiece Removal Parameter is denoted by Λ_w symbol.

How to calculate Workpiece removal parameter given metal removal rate using this online calculator? To use this online calculator for Workpiece removal parameter given metal removal rate, enter Material Removal Rate During Grinding (Z_g), Thrust Force (F_t) & Threshold Thrust Force (F_t0) and hit the calculate button. Here is how the Workpiece removal parameter given metal removal rate calculation can be explained with given input values -> 0.003721 = 430/(45-2).

FAQ

What is Workpiece removal parameter given metal removal rate?

Workpiece removal parameter given metal removal rate is a value established by Hahn and Lindsay in grinding analysis. It's determined experimentally and depends on factors like the workpiece material. This parameter essentially elucidates the relationship between the rate at which material is removed from the workpiece and the thrust force applied between the workpiece and the grinding wheel. It's a crucial aspect of understanding and optimizing the grinding process for efficiency and quality and is represented as Λ_w = Z_g/(F_t-F_t0) or Workpiece Removal Parameter = Material Removal Rate During Grinding/(Thrust Force-Threshold Thrust Force). Material removal rate during grinding (MRR) refers to the amount of volume removed form workpiece in a specified time frame. It is a crucial parameter in machining for different analysis, Thrust Force refers to the force acting in the direction parallel to the grinding wheel's axis during the material removal process. It's the feeding force applied to the workpiece against the wheel & Threshold Thrust Force refers to the minimum amount of force required between the grinding wheel and the workpiece to initiate effective material removal.

How to calculate Workpiece removal parameter given metal removal rate?

Workpiece removal parameter given metal removal rate is a value established by Hahn and Lindsay in grinding analysis. It's determined experimentally and depends on factors like the workpiece material. This parameter essentially elucidates the relationship between the rate at which material is removed from the workpiece and the thrust force applied between the workpiece and the grinding wheel. It's a crucial aspect of understanding and optimizing the grinding process for efficiency and quality is calculated using Workpiece Removal Parameter = Material Removal Rate During Grinding/(Thrust Force-Threshold Thrust Force). To calculate Workpiece removal parameter given metal removal rate, you need Material Removal Rate During Grinding (Z_g), Thrust Force (F_t) & Threshold Thrust Force (F_t0). With our tool, you need to enter the respective value for Material Removal Rate During Grinding, Thrust Force & Threshold Thrust Force 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 Workpiece Removal Parameter?

In this formula, Workpiece Removal Parameter uses Material Removal Rate During Grinding, Thrust Force & Threshold Thrust Force. We can use 2 other way(s) to calculate the same, which is/are as follows -

Workpiece Removal Parameter = Wheel Removal Parameter*Diameter of Workpiece/((Machine Infeed Speed/Feed Speed-1)*Diameter of Grinding Tool Wheel)
Workpiece Removal Parameter = Grinding Ratio*Wheel Removal Parameter

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