Machine infeed speed given workpiece and wheel removal parameter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Machine Infeed Speed = Feed Speed*(1+(Wheel Removal Parameter*Diameter of Workpiece)/(Workpiece Removal Parameter*Diameter of Grinding Tool Wheel))
Vi = Vf*(1+(Λt*dw)/(Λw*dt))
This formula uses 6 Variables
Variables Used
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.
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
Feed Speed: 203.6043 Millimeter per Second --> 0.2036043 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
Vi = Vf*(1+(Λt*dw)/(Λw*dt)) --> 0.2036043*(1+(2.4*0.2274)/(10*0.5))
Evaluating ... ...
Vi = 0.2258281165536
STEP 3: Convert Result to Output's Unit
0.2258281165536 Meter per Second -->225.8281165536 Millimeter per Second (Check conversion ​here)
FINAL ANSWER
225.8281165536 225.8281 Millimeter per Second <-- Machine Infeed Speed
(Calculation completed in 00.004 seconds)

Credits

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Created by Parul Keshav
National Institute of Technology (NIT), Srinagar
Parul Keshav has created this Calculator and 300+ more calculators!
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Verified by Kumar Siddhant
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

Machine infeed speed given workpiece and wheel removal parameter Formula

Machine Infeed Speed = Feed Speed*(1+(Wheel Removal Parameter*Diameter of Workpiece)/(Workpiece Removal Parameter*Diameter of Grinding Tool Wheel))
Vi = Vf*(1+(Λt*dw)/(Λw*dt))

What is a grinding wheel used for?

A grinding wheel is a wheel composed of an abrasive compound and used for various grinding (abrasive cutting) and abrasive machining operations. Such wheels are used in grinding machines.

How to Calculate Machine infeed speed given workpiece and wheel removal parameter?

Machine infeed speed given workpiece and wheel removal parameter calculator uses Machine Infeed Speed = Feed Speed*(1+(Wheel Removal Parameter*Diameter of Workpiece)/(Workpiece Removal Parameter*Diameter of Grinding Tool Wheel)) to calculate the Machine Infeed Speed, Machine infeed speed given workpiece and wheel removal parameter is the required movement of grinding wheel towards the workpiece to achieve a desired depth of cut for achieving desired MRR from workpiece, when we known the wheel removal parameter for the specific grinding wheel material. Machine infeed gives us a valuable insight for determining the factors such as MRR, Surface finish on workpiece, Grinding efficiency and Wheel Wear. Machine Infeed Speed is denoted by Vi symbol.

How to calculate Machine infeed speed given workpiece and wheel removal parameter using this online calculator? To use this online calculator for Machine infeed speed given workpiece and wheel removal parameter, enter Feed Speed (Vf), Wheel Removal Parameter t), Diameter of Workpiece (dw), Workpiece Removal Parameter w) & Diameter of Grinding Tool Wheel (dt) and hit the calculate button. Here is how the Machine infeed speed given workpiece and wheel removal parameter calculation can be explained with given input values -> 225828.1 = 0.2036043*(1+(2.4*0.2274)/(10*0.5)).

FAQ

What is Machine infeed speed given workpiece and wheel removal parameter?
Machine infeed speed given workpiece and wheel removal parameter is the required movement of grinding wheel towards the workpiece to achieve a desired depth of cut for achieving desired MRR from workpiece, when we known the wheel removal parameter for the specific grinding wheel material. Machine infeed gives us a valuable insight for determining the factors such as MRR, Surface finish on workpiece, Grinding efficiency and Wheel Wear and is represented as Vi = Vf*(1+(Λt*dw)/(Λw*dt)) or Machine Infeed Speed = Feed Speed*(1+(Wheel Removal Parameter*Diameter of Workpiece)/(Workpiece Removal Parameter*Diameter of Grinding Tool Wheel)). 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 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 Machine infeed speed given workpiece and wheel removal parameter?
Machine infeed speed given workpiece and wheel removal parameter is the required movement of grinding wheel towards the workpiece to achieve a desired depth of cut for achieving desired MRR from workpiece, when we known the wheel removal parameter for the specific grinding wheel material. Machine infeed gives us a valuable insight for determining the factors such as MRR, Surface finish on workpiece, Grinding efficiency and Wheel Wear is calculated using Machine Infeed Speed = Feed Speed*(1+(Wheel Removal Parameter*Diameter of Workpiece)/(Workpiece Removal Parameter*Diameter of Grinding Tool Wheel)). To calculate Machine infeed speed given workpiece and wheel removal parameter, you need Feed Speed (Vf), Wheel Removal Parameter t), Diameter of Workpiece (dw), Workpiece Removal Parameter w) & Diameter of Grinding Tool Wheel (dt). With our tool, you need to enter the respective value for Feed 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.
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