Wheel removal parameter given feed and machine infeed speed Calculator

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

✖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 given feed and machine infeed speed [Λ_t]

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Wheel removal parameter given feed and machine infeed speed

Formula

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

Example

`"2.399987"="10"*"500mm"*("225.828mm/s"/"203.6043mm/s"-1)/"227.4mm"`

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Wheel removal parameter given feed and machine infeed speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wheel Removal Parameter = Workpiece Removal Parameter*Diameter of Grinding Tool Wheel*(Machine Infeed Speed/Feed Speed-1)/Diameter of Workpiece
Λ_t = Λ_w*d_t*(V_i/V_f-1)/d_w
This formula uses 6 Variables

Variables Used

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.
Workpiece Removal Parameter - Workpiece removal parameter refers to the rate of removal of material from workpiece with thrust force induced between workpiece and wheel.
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.
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 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.

STEP 1: Convert Input(s) to Base Unit

Workpiece Removal Parameter: 10 --> No Conversion Required
Diameter of Grinding Tool Wheel: 500 Millimeter --> 0.5 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 Workpiece: 227.4 Millimeter --> 0.2274 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Λ_t = Λ_w*d_t*(V_i/V_f-1)/d_w --> 10*0.5*(0.225828/0.2036043-1)/0.2274

Evaluating ... ...

Λ_t = 2.39998741311425

STEP 3: Convert Result to Output's Unit

2.39998741311425 --> No Conversion Required

FINAL ANSWER

2.39998741311425 ≈ 2.399987 <-- Wheel Removal Parameter

(Calculation completed in 00.020 seconds)

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

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Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

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National Institute Of Technology (NIT), Hamirpur

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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

Wheel removal parameter given feed and machine infeed speed Formula

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

What is a grinding wheel?

A grinding wheel is a crucial tool in metalworking and machining. It's essentially a rotating disc composed of abrasive grains bonded together. These abrasive grains, often made from very hard materials like aluminum oxide or diamond, are the workhorses of the grinding process. As the wheel spins at high speeds, the abrasive grains wear away material from the workpiece, shaping and smoothing its surface. Grinding wheels come in various shapes and sizes, with the specific abrasive material and grain size chosen depending on the material being ground and the desired finish.

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

Wheel removal parameter given feed and machine infeed speed calculator uses Wheel Removal Parameter = Workpiece Removal Parameter*Diameter of Grinding Tool Wheel*(Machine Infeed Speed/Feed Speed-1)/Diameter of Workpiece to calculate the Wheel Removal Parameter, Wheel 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 grinding wheel material. This parameter essentially elucidates the relationship between the rate at which abrasive material is removed from the wheel 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. Wheel Removal Parameter is denoted by Λ_t symbol.

How to calculate Wheel removal parameter given feed and machine infeed speed using this online calculator? To use this online calculator for Wheel removal parameter given feed and machine infeed speed, enter Workpiece Removal Parameter (Λ_w), Diameter of Grinding Tool Wheel (d_t), Machine Infeed Speed (V_i), Feed Speed (V_f) & Diameter of Workpiece (d_w) and hit the calculate button. Here is how the Wheel removal parameter given feed and machine infeed speed calculation can be explained with given input values -> 2.399987 = 10*0.5*(0.225828/0.2036043-1)/0.2274.

FAQ

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

Wheel 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 grinding wheel material. This parameter essentially elucidates the relationship between the rate at which abrasive material is removed from the wheel 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_t = Λ_w*d_t*(V_i/V_f-1)/d_w or Wheel Removal Parameter = Workpiece Removal Parameter*Diameter of Grinding Tool Wheel*(Machine Infeed Speed/Feed Speed-1)/Diameter of Workpiece. Workpiece removal parameter refers to the rate of removal of material from workpiece with thrust force induced between workpiece and wheel, The Diameter of Grinding Tool Wheel is the distance across the widest part of grinding wheel, measured straight through the center of grinding wheel, 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 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.

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

Wheel 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 grinding wheel material. This parameter essentially elucidates the relationship between the rate at which abrasive material is removed from the wheel 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 Wheel Removal Parameter = Workpiece Removal Parameter*Diameter of Grinding Tool Wheel*(Machine Infeed Speed/Feed Speed-1)/Diameter of Workpiece. To calculate Wheel removal parameter given feed and machine infeed speed, you need Workpiece Removal Parameter (Λ_w), Diameter of Grinding Tool Wheel (d_t), Machine Infeed Speed (V_i), Feed Speed (V_f) & Diameter of Workpiece (d_w). With our tool, you need to enter the respective value for Workpiece Removal Parameter, Diameter of Grinding Tool Wheel, Machine Infeed Speed, Feed Speed & Diameter of Workpiece 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 Wheel Removal Parameter?

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

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

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