Workpiece removal parameter given metal removal rate Calculator

✖Material removal rate (MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations such as using a lathe or milling machine.ⓘ Material Removal Rate [Z_ω]			+10% -10%
✖Thrust Force which is acting perpendicular to the job piece in grinding operation.ⓘ Thrust Force [F_t]			+10% -10%
✖Threshold Thrust Force is the thrust force required to initiate and maintain the grinding process at the beginning of the cutting region.ⓘ Threshold Thrust Force [F_t0]			+10% -10%

✖Workpiece removal parameter is the ratio of the volume of workpiece removed per unit time per unit thrust force in grinding process.ⓘ Workpiece removal parameter given metal removal rate [Λ_w]

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Formula

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Workpiece removal parameter given metal removal rate

Formula

`"Λ"_{"w"} = "Z"_{"ω"}/("F"_{"t"}-"F"_{"t0"})`

Example

`"10"="430m³/s"/("45N"-"2N")`

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Workpiece removal parameter given metal removal rate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Workpiece Removal Parameter = Material Removal Rate/(Thrust Force-Threshold Thrust Force)
Λ_w = Z_ω/(F_t-F_t0)
This formula uses 4 Variables

Variables Used

Workpiece Removal Parameter - Workpiece removal parameter is the ratio of the volume of workpiece removed per unit time per unit thrust force in grinding process.
Material Removal Rate - (Measured in Cubic Meter per Second) - Material removal rate (MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations such as using a lathe or milling machine.
Thrust Force - (Measured in Newton) - Thrust Force which is acting perpendicular to the job piece in grinding operation.
Threshold Thrust Force - (Measured in Newton) - Threshold Thrust Force is the thrust force required to initiate and maintain the grinding process at the beginning of the cutting region.

STEP 1: Convert Input(s) to Base Unit

Material Removal Rate: 430 Cubic Meter per Second --> 430 Cubic Meter per Second No Conversion Required
Thrust Force: 45 Newton --> 45 Newton No Conversion Required
Threshold Thrust Force: 2 Newton --> 2 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Λ_w = Z_ω/(F_t-F_t0) --> 430/(45-2)

Evaluating ... ...

Λ_w = 10

STEP 3: Convert Result to Output's Unit

10 --> No Conversion Required

FINAL ANSWER

10 <-- Workpiece Removal Parameter

(Calculation completed in 00.004 seconds)

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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)))

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-(Material Removal Rate/Workpiece Removal Parameter)

Metal removal rate given workpiece removal parameter

Go Material Removal Rate = (Thrust Force-Threshold Thrust Force)*Workpiece Removal Parameter

Workpiece removal parameter given metal removal rate

Go Workpiece Removal Parameter = Material Removal Rate/(Thrust Force-Threshold Thrust Force)

Thrust force given workpiece removal parameter

Go Thrust Force = (Material 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 of Workpiece

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

Workpiece removal parameter given metal removal rate Formula

Workpiece Removal Parameter = Material Removal Rate/(Thrust Force-Threshold Thrust Force)
Λ_w = Z_ω/(F_t-F_t0)

what is feed force?

The axial or feed force acts in the longitudinal direction. It is also called the feed force because it is in the feed direction of the tool. This force tends to push the tool away from the chuck. The radial or thrust force acts in the radial direction and tends to push the tool away from the workpiece.

How to Calculate Workpiece removal parameter given metal removal rate?

Workpiece removal parameter given metal removal rate calculator uses Workpiece Removal Parameter = Material Removal Rate/(Thrust Force-Threshold Thrust Force) to calculate the Workpiece Removal Parameter, The Workpiece removal parameter given metal removal rate is the ratio of the volume of workpiece removed per unit time per unit thrust force. Workpiece Removal Parameter is denoted by Λ_w symbol.

How to calculate Workpiece removal parameter given metal removal rate using this online calculator? To use this online calculator for Workpiece removal parameter given metal removal rate, enter Material Removal Rate (Z_ω), Thrust Force (F_t) & Threshold Thrust Force (F_t0) and hit the calculate button. Here is how the Workpiece removal parameter given metal removal rate calculation can be explained with given input values -> 0.003721 = 430/(45-2).

FAQ

What is Workpiece removal parameter given metal removal rate?

The Workpiece removal parameter given metal removal rate is the ratio of the volume of workpiece removed per unit time per unit thrust force and is represented as Λ_w = Z_ω/(F_t-F_t0) or Workpiece Removal Parameter = Material Removal Rate/(Thrust Force-Threshold Thrust Force). Material removal rate (MRR) is the amount of material removed per time unit (usually per minute) when performing machining operations such as using a lathe or milling machine, Thrust Force which is acting perpendicular to the job piece in grinding operation & Threshold Thrust Force is the thrust force required to initiate and maintain the grinding process at the beginning of the cutting region.

How to calculate Workpiece removal parameter given metal removal rate?

The Workpiece removal parameter given metal removal rate is the ratio of the volume of workpiece removed per unit time per unit thrust force is calculated using Workpiece Removal Parameter = Material Removal Rate/(Thrust Force-Threshold Thrust Force). To calculate Workpiece removal parameter given metal removal rate, you need Material Removal Rate (Z_ω), Thrust Force (F_t) & Threshold Thrust Force (F_t0). With our tool, you need to enter the respective value for Material Removal Rate, Thrust Force & Threshold Thrust Force 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 Material Removal Rate, Thrust Force & Threshold Thrust Force. We can use 2 other way(s) to calculate the same, which is/are as follows -

Workpiece Removal Parameter = Wheel Removal Parameter*Diameter of Workpiece/(((Machine Infeed speed/Feed Speed)-1)*Diameter of Grinding Tool Wheel)
Workpiece Removal Parameter = Grinding Ratio*Wheel Removal Parameter

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