Machine infeed speed given workpiece and wheel removal parameter Calculator

✖Feed Speed is the Feed given against a workpiece per unit time.ⓘ Feed Speed [V_f]			+10% -10%
✖The wheel removal parameter is the ratio of the volume of wheel removed per unit time per unit thrust force.ⓘ Wheel Removal Parameter [Λ_t]			+10% -10%
✖The Diameter of Workpiece is defined as the diameter of the workpiece which is undergoing grinding.ⓘ Diameter of Workpiece [d_workpiece]			+10% -10%
✖Workpiece removal parameter is the ratio of the volume of workpiece removed per unit time per unit thrust force.ⓘ Workpiece removal parameter [Λ_W]			+10% -10%
✖The Diameter of Grinding Tool Wheel is the diameter of the wheel used for the grinding.ⓘ Diameter of Grinding Tool Wheel [d_t]			+10% -10%

✖Machine Infeed speed is the speed at which the wheel is moving towards the workpiece.ⓘ Machine infeed speed given workpiece and wheel removal parameter [v_i]

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Formula

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Machine infeed speed given workpiece and wheel removal parameter

Formula

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

Example

`"8.834mm/s"="3.5mm/s"*(1+("2.4"*"76.20mm"/("10"*"12mm")))`

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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)))
v_i = V_f*(1+(Λ_t*d_workpiece/(Λ_W*d_t)))
This formula uses 6 Variables

Variables Used

Machine Infeed speed - (Measured in Meter per Second) - Machine Infeed speed is the speed at which the wheel is moving towards the workpiece.
Feed Speed - (Measured in Meter per Second) - Feed Speed is the Feed given against a workpiece per unit time.
Wheel Removal Parameter - The wheel removal parameter is the ratio of the volume of wheel removed per unit time per unit thrust force.
Diameter of Workpiece - (Measured in Meter) - The Diameter of Workpiece is defined as the diameter of the workpiece which is undergoing grinding.
Workpiece removal parameter - Workpiece removal parameter is the ratio of the volume of workpiece removed per unit time per unit thrust force.
Diameter of Grinding Tool Wheel - (Measured in Meter) - The Diameter of Grinding Tool Wheel is the diameter of the wheel used for the grinding.

STEP 1: Convert Input(s) to Base Unit

Feed Speed: 3.5 Millimeter per Second --> 0.0035 Meter per Second (Check conversion here)
Wheel Removal Parameter: 2.4 --> No Conversion Required
Diameter of Workpiece: 76.2 Millimeter --> 0.0762 Meter (Check conversion here)
Workpiece removal parameter: 10 --> No Conversion Required
Diameter of Grinding Tool Wheel: 12 Millimeter --> 0.012 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_i = V_f*(1+(Λ_t*d_workpiece/(Λ_W*d_t))) --> 0.0035*(1+(2.4*0.0762/(10*0.012)))

Evaluating ... ...

v_i = 0.008834

STEP 3: Convert Result to Output's Unit

0.008834 Meter per Second -->8.834 Millimeter per Second (Check conversion here)

FINAL ANSWER

8.834 Millimeter per Second <-- Machine Infeed 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 » Machine infeed speed given workpiece and wheel removal parameter

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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

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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)))

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)

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)))

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/(Feed Speed*pi*Diameter of Workpiece)

Feed speed given Metal removal rate

Go Feed Speed = Metal removal rate/(pi*Diameter of Workpiece*Width of Grinding Path)

Metal removal rate given Diameter of workpiece

Go Metal removal rate = pi*Diameter of Workpiece*Width of Grinding Path*Feed Speed

Threshold thrust force given workpiece removal parameter

Go Threshold Thrust Force = Thrust Force-(Metal removal rate/Workpiece removal parameter)

Metal removal rate given workpiece removal parameter

Go Metal removal rate = (Thrust Force-Threshold Thrust Force)*Workpiece removal parameter

Workpiece removal parameter given metal removal rate

Go Workpiece removal parameter = Metal removal rate/(Thrust Force-Threshold Thrust Force)

Thrust force given workpiece removal parameter

Go Thrust Force = (Metal removal rate/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

Relative contact area of grains given Total Energy flowing into workpiece

Go Relative Contact Area of Grain = ((Proportion of total energy flowing into workpiece/100)-0.6)/0.05

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

Grain size given grain Diameter

Go Grain size (in mm) = 0.0254/Grain diameter of the grinding wheel

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)))
v_i = V_f*(1+(Λ_t*d_workpiece/(Λ_W*d_t)))

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, The Machine infeed speed given workpiece and wheel removal parameter is the speed at which the wheel is moving towards the workpiece. Machine Infeed speed is denoted by v_i 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 (V_f), Wheel Removal Parameter (Λ_t), Diameter of Workpiece (d_workpiece), Workpiece removal parameter (Λ_W) & Diameter of Grinding Tool Wheel (d_t) 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 -> 4033.4 = 0.0035*(1+(2.4*0.0762/(10*0.012))).

FAQ

What is Machine infeed speed given workpiece and wheel removal parameter?

The Machine infeed speed given workpiece and wheel removal parameter is the speed at which the wheel is moving towards the workpiece and is represented as v_i = V_f*(1+(Λ_t*d_workpiece/(Λ_W*d_t))) 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 Feed given against a workpiece per unit time, The wheel removal parameter is the ratio of the volume of wheel removed per unit time per unit thrust force, The Diameter of Workpiece is defined as the diameter of the workpiece which is undergoing grinding, Workpiece removal parameter is the ratio of the volume of workpiece removed per unit time per unit thrust force & The Diameter of Grinding Tool Wheel is the diameter of the wheel used for the grinding.

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

The Machine infeed speed given workpiece and wheel removal parameter is the speed at which the wheel is moving towards the workpiece 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 (V_f), Wheel Removal Parameter (Λ_t), Diameter of Workpiece (d_workpiece), Workpiece removal parameter (Λ_W) & Diameter of Grinding Tool Wheel (d_t). 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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