Workpiece removal parameter given feed and machine infeed speed Calculator

✖The wheel removal parameter refers to the rate of removal of abrasive grains from grinding wheel with thrust force induced between workpiece and wheel.ⓘ Wheel Removal Parameter [Λ_t]			+10% -10%
✖The Diameter of Workpiece is the initial diameter of the workpiece before machining is done. This would be the diameter of the raw material stock that gets fed into the machine for processing.ⓘ Diameter of Workpiece [d_w]			+10% -10%
✖Machine Infeed speed refers to the controlled movement of the grinding wheel with respect to time towards the workpiece to achieve a desired depth of cut or removal of material.ⓘ Machine Infeed Speed [V_i]			+10% -10%
✖Feed Speed is the distance a cutting tool travels during one spindle revolution. It determines the rate at which the cutting tool advances against the workpiece during the machining process.ⓘ Feed Speed [V_f]			+10% -10%
✖The Diameter of Grinding Tool Wheel is the distance across the widest part of grinding wheel, measured straight through the center of grinding wheel.ⓘ Diameter of Grinding Tool Wheel [d_t]			+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 feed and machine infeed speed [Λ_w]

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Formula

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Workpiece removal parameter given feed and machine infeed speed

Formula

`"Λ"_{"w"} = "Λ"_{"t"}*"d"_{"w"}/(("V"_{"i"}/"V"_{"f"}-1)*"d"_{"t"})`

Example

`"10.00005"="2.4"*"227.4mm"/(("225.828mm/s"/"203.6043mm/s"-1)*"500mm")`

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Workpiece removal parameter given feed and machine infeed speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Workpiece Removal Parameter = Wheel Removal Parameter*Diameter of Workpiece/((Machine Infeed Speed/Feed Speed-1)*Diameter of Grinding Tool Wheel)
Λ_w = Λ_t*d_w/((V_i/V_f-1)*d_t)
This formula uses 6 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.
Wheel Removal Parameter - The wheel removal parameter refers to the rate of removal of abrasive grains from grinding wheel with thrust force induced between workpiece and wheel.
Diameter of Workpiece - (Measured in Meter) - The Diameter of Workpiece is the initial diameter of the workpiece before machining is done. This would be the diameter of the raw material stock that gets fed into the machine for processing.
Machine Infeed Speed - (Measured in Meter per Second) - Machine Infeed speed refers to the controlled movement of the grinding wheel with respect to time towards the workpiece to achieve a desired depth of cut or removal of material.
Feed Speed - (Measured in Meter per Second) - Feed Speed is the distance a cutting tool travels during one spindle revolution. It determines the rate at which the cutting tool advances against the workpiece during the machining process.
Diameter of Grinding Tool Wheel - (Measured in Meter) - The Diameter of Grinding Tool Wheel is the distance across the widest part of grinding wheel, measured straight through the center of grinding wheel.

STEP 1: Convert Input(s) to Base Unit

Wheel Removal Parameter: 2.4 --> No Conversion Required
Diameter of Workpiece: 227.4 Millimeter --> 0.2274 Meter (Check conversion here)
Machine Infeed Speed: 225.828 Millimeter per Second --> 0.225828 Meter per Second (Check conversion here)
Feed Speed: 203.6043 Millimeter per Second --> 0.2036043 Meter per Second (Check conversion here)
Diameter of Grinding Tool Wheel: 500 Millimeter --> 0.5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Λ_w = Λ_t*d_w/((V_i/V_f-1)*d_t) --> 2.4*0.2274/((0.225828/0.2036043-1)*0.5)

Evaluating ... ...

Λ_w = 10.0000524456324

STEP 3: Convert Result to Output's Unit

10.0000524456324 --> No Conversion Required

FINAL ANSWER

10.0000524456324 ≈ 10.00005 <-- Workpiece Removal Parameter

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Machine Tools and Operations » Grinding Operation » Material Removed » Removal Parameters » Workpiece removal parameter given feed and machine infeed speed

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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 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 feed and machine infeed speed Formula

Workpiece Removal Parameter = Wheel Removal Parameter*Diameter of Workpiece/((Machine Infeed Speed/Feed Speed-1)*Diameter of Grinding Tool Wheel)
Λ_w = Λ_t*d_w/((V_i/V_f-1)*d_t)

What is the basic principle of grinding process?

The basic principle of grinding involves using a rotating abrasive wheel to remove material from a workpiece in tiny chips. Each abrasive grain on the wheel acts like a miniature cutting tool, fracturing the workpiece material and creating chips as the wheel spins. This process allows for shaping and finishing the workpiece to achieve the desired dimensions and surface quality.

How to Calculate Workpiece removal parameter given feed and machine infeed speed?

Workpiece removal parameter given feed and machine infeed speed calculator uses Workpiece Removal Parameter = Wheel Removal Parameter*Diameter of Workpiece/((Machine Infeed Speed/Feed Speed-1)*Diameter of Grinding Tool Wheel) to calculate the Workpiece Removal Parameter, Workpiece removal parameter given feed and machine infeed speed 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 feed and machine infeed speed using this online calculator? To use this online calculator for Workpiece removal parameter given feed and machine infeed speed, enter Wheel Removal Parameter (Λ_t), Diameter of Workpiece (d_w), Machine Infeed Speed (V_i), Feed Speed (V_f) & Diameter of Grinding Tool Wheel (d_t) and hit the calculate button. Here is how the Workpiece removal parameter given feed and machine infeed speed calculation can be explained with given input values -> 10.00005 = 2.4*0.2274/((0.225828/0.2036043-1)*0.5).

FAQ

What is Workpiece removal parameter given feed and machine infeed speed?

Workpiece removal parameter given feed and machine infeed speed 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 = Λ_t*d_w/((V_i/V_f-1)*d_t) or Workpiece Removal Parameter = Wheel Removal Parameter*Diameter of Workpiece/((Machine Infeed Speed/Feed Speed-1)*Diameter of Grinding Tool Wheel). The wheel removal parameter refers to the rate of removal of abrasive grains from grinding wheel with thrust force induced between workpiece and wheel, The Diameter of Workpiece is the initial diameter of the workpiece before machining is done. This would be the diameter of the raw material stock that gets fed into the machine for processing, Machine Infeed speed refers to the controlled movement of the grinding wheel with respect to time towards the workpiece to achieve a desired depth of cut or removal of material, Feed Speed is the distance a cutting tool travels during one spindle revolution. It determines the rate at which the cutting tool advances against the workpiece during the machining process & The Diameter of Grinding Tool Wheel is the distance across the widest part of grinding wheel, measured straight through the center of grinding wheel.

How to calculate Workpiece removal parameter given feed and machine infeed speed?

Workpiece removal parameter given feed and machine infeed speed 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 = Wheel Removal Parameter*Diameter of Workpiece/((Machine Infeed Speed/Feed Speed-1)*Diameter of Grinding Tool Wheel). To calculate Workpiece removal parameter given feed and machine infeed speed, you need Wheel Removal Parameter (Λ_t), Diameter of Workpiece (d_w), Machine Infeed Speed (V_i), Feed Speed (V_f) & Diameter of Grinding Tool Wheel (d_t). With our tool, you need to enter the respective value for Wheel Removal Parameter, Diameter of Workpiece, Machine Infeed Speed, Feed Speed & 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 Workpiece Removal Parameter?

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

Workpiece Removal Parameter = Material Removal Rate During Grinding/(Thrust Force-Threshold Thrust Force)
Workpiece Removal Parameter = Grinding Ratio*Wheel Removal Parameter

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