Metal removal rate given workpiece removal parameter Calculator

✖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 [Λ_w]			+10% -10%

✖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.ⓘ Metal removal rate given workpiece removal parameter [Z_ω]

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Formula

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Metal removal rate given workpiece removal parameter

Formula

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

Example

`"430m³/s"=("45N"-"2N")*"10"`

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Metal removal rate given workpiece removal parameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Thrust Force: 45 Newton --> 45 Newton No Conversion Required
Threshold Thrust Force: 2 Newton --> 2 Newton No Conversion Required
Workpiece Removal Parameter: 10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z_ω = (F_t-F_t0)*Λ_w --> (45-2)*10

Evaluating ... ...

Z_ω = 430

STEP 3: Convert Result to Output's Unit

430 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

430 Cubic Meter per Second <-- Material Removal Rate

(Calculation completed in 00.004 seconds)

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Credits

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

Metal removal rate given workpiece removal parameter Formula

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

Which process has highest rate of metal removal?

Generally, the rate of metal removal for various machining processes are as follows:
1. Electric Discharge Machining (EDM) has a metal removal rate of about 10-20 mm3/s.
2. Electro-Chemical Machining (ECM) has the highest metal removal rate of about 200-300 mm3/s.

How to Calculate Metal removal rate given workpiece removal parameter?

Metal removal rate given workpiece removal parameter calculator uses Material Removal Rate = (Thrust Force-Threshold Thrust Force)*Workpiece Removal Parameter to calculate the Material Removal Rate, The Metal removal rate given workpiece removal parameter is the amount of material removed per time unit (usually per minute) when performing machining operations. Material Removal Rate is denoted by Z_ω symbol.

How to calculate Metal removal rate given workpiece removal parameter using this online calculator? To use this online calculator for Metal removal rate given workpiece removal parameter, enter Thrust Force (F_t), Threshold Thrust Force (F_t0) & Workpiece Removal Parameter (Λ_w) and hit the calculate button. Here is how the Metal removal rate given workpiece removal parameter calculation can be explained with given input values -> 430 = (45-2)*10.

FAQ

What is Metal removal rate given workpiece removal parameter?

The Metal removal rate given workpiece removal parameter is the amount of material removed per time unit (usually per minute) when performing machining operations and is represented as Z_ω = (F_t-F_t0)*Λ_w or Material Removal Rate = (Thrust Force-Threshold Thrust Force)*Workpiece Removal Parameter. 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 & Workpiece removal parameter is the ratio of the volume of workpiece removed per unit time per unit thrust force in grinding process.

How to calculate Metal removal rate given workpiece removal parameter?

The Metal removal rate given workpiece removal parameter is the amount of material removed per time unit (usually per minute) when performing machining operations is calculated using Material Removal Rate = (Thrust Force-Threshold Thrust Force)*Workpiece Removal Parameter. To calculate Metal removal rate given workpiece removal parameter, you need Thrust Force (F_t), Threshold Thrust Force (F_t0) & Workpiece Removal Parameter (Λ_w). With our tool, you need to enter the respective value for Thrust Force, Threshold Thrust Force & Workpiece Removal Parameter 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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