✖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%
✖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%
✖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%

✖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 given workpiece and wheel removal parameter [V_f]

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Formula

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Feed speed given workpiece and wheel removal parameter

Formula

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

Example

`"203.6042mm/s"="225.828mm/s"/(1+("2.4"*"227.4mm")/("10"*"500mm"))`

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Feed speed given workpiece and wheel removal parameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Machine Infeed Speed: 225.828 Millimeter per Second --> 0.225828 Meter per Second (Check conversion here)
Wheel Removal Parameter: 2.4 --> No Conversion Required
Diameter of Workpiece: 227.4 Millimeter --> 0.2274 Meter (Check conversion here)
Workpiece Removal Parameter: 10 --> No Conversion Required
Diameter of Grinding Tool Wheel: 500 Millimeter --> 0.5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_f = V_i/(1+(Λ_t*d_w)/(Λ_w*d_t)) --> 0.225828/(1+(2.4*0.2274)/(10*0.5))

Evaluating ... ...

V_f = 0.203604194916477

STEP 3: Convert Result to Output's Unit

0.203604194916477 Meter per Second -->203.604194916477 Millimeter per Second (Check conversion here)

FINAL ANSWER

203.604194916477 ≈ 203.6042 Millimeter per Second <-- Feed Speed

(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 » Feed speed given workpiece and wheel removal parameter

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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

Feed speed given workpiece and wheel removal parameter Formula

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

Significance of Metal/Wheel Removal Parameter in Grinding.

Hahn and Lindsay" have developed an relationship between Metal/Wheel removal rate and thrust force applied on workpiece by grinding wheel or vice versa. Experimentally it has been seen the relationship between these two is linear, therefore these two parameter are proportional to each other. The constant for proportionally is known as Metal/Wheel removal parameter. This parameter depends on the material of workpiece and grinding wheel, and gives us an understanding of how grinding force affects on Workpiece/Grinding wheel.

How to Calculate Feed speed given workpiece and wheel removal parameter?

Feed speed given workpiece and wheel removal parameter calculator uses Feed Speed = Machine Infeed Speed/(1+(Wheel Removal Parameter*Diameter of Workpiece)/(Workpiece Removal Parameter*Diameter of Grinding Tool Wheel)) to calculate the Feed Speed, Feed speed given workpiece and wheel removal parameter is the rate at which the grinding wheel or abrasive tool advances against the workpiece, that is being ground When 'wheel removal parameter' is known to us. It's essentially the speed at which the material is removed from the workpiece surface by the abrasive action of the grinding wheel. Feed speed plays a crucial role in overall efficiency in grinding. Feed Speed is denoted by V_f symbol.

How to calculate Feed speed given workpiece and wheel removal parameter using this online calculator? To use this online calculator for Feed speed given workpiece and wheel removal parameter, enter Machine Infeed Speed (V_i), Wheel Removal Parameter (Λ_t), Diameter of Workpiece (d_w), Workpiece Removal Parameter (Λ_w) & Diameter of Grinding Tool Wheel (d_t) and hit the calculate button. Here is how the Feed speed given workpiece and wheel removal parameter calculation can be explained with given input values -> 203604.2 = 0.225828/(1+(2.4*0.2274)/(10*0.5)).

FAQ

What is Feed speed given workpiece and wheel removal parameter?

Feed speed given workpiece and wheel removal parameter is the rate at which the grinding wheel or abrasive tool advances against the workpiece, that is being ground When 'wheel removal parameter' is known to us. It's essentially the speed at which the material is removed from the workpiece surface by the abrasive action of the grinding wheel. Feed speed plays a crucial role in overall efficiency in grinding and is represented as V_f = V_i/(1+(Λ_t*d_w)/(Λ_w*d_t)) or Feed Speed = Machine Infeed Speed/(1+(Wheel Removal Parameter*Diameter of Workpiece)/(Workpiece Removal Parameter*Diameter of Grinding Tool 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, 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, 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.

How to calculate Feed speed given workpiece and wheel removal parameter?

Feed speed given workpiece and wheel removal parameter is the rate at which the grinding wheel or abrasive tool advances against the workpiece, that is being ground When 'wheel removal parameter' is known to us. It's essentially the speed at which the material is removed from the workpiece surface by the abrasive action of the grinding wheel. Feed speed plays a crucial role in overall efficiency in grinding is calculated using Feed Speed = Machine Infeed Speed/(1+(Wheel Removal Parameter*Diameter of Workpiece)/(Workpiece Removal Parameter*Diameter of Grinding Tool Wheel)). To calculate Feed speed given workpiece and wheel removal parameter, you need Machine Infeed Speed (V_i), Wheel Removal Parameter (Λ_t), Diameter of Workpiece (d_w), Workpiece Removal Parameter (Λ_w) & Diameter of Grinding Tool Wheel (d_t). With our tool, you need to enter the respective value for Machine Infeed Speed, Wheel Removal Parameter, Diameter of Workpiece, Workpiece Removal Parameter & 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 Feed Speed?

In this formula, Feed Speed uses Machine Infeed Speed, Wheel Removal Parameter, Diameter of Workpiece, Workpiece Removal Parameter & Diameter of Grinding Tool Wheel. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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