✖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%
✖Width of grinding path is defined as the width of cut in the axial direction of grinding wheel, also known as back engagement. It's purpose to apply consistent pressure to the grinding wheel.ⓘ Width of Grinding Path [a_p]			+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 [V_f]			+10% -10%

✖Metal removal rate in grinding (MRR) is the amount of volume removed from material in a specified time frame (usually per minute) when performing different machining operations.ⓘ Metal removal rate given Diameter of workpiece [Z_w]

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Formula

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Metal removal rate given Diameter of workpiece

Formula

`"Z"_{"w"} = pi*"d"_{"w"}*"a"_{"p"}*"V"_{"f"}`

Example

`"0.16m³/s"=pi*"227.4mm"*"1100mm"*"203.6043mm/s"`

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Metal removal rate given Diameter of workpiece Solution

STEP 0: Pre-Calculation Summary

Formula Used

Metal Removal Rate in Grinding = pi*Diameter of Workpiece*Width of Grinding Path*Feed Speed
Z_w = pi*d_w*a_p*V_f
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Metal Removal Rate in Grinding - (Measured in Cubic Meter per Second) - Metal removal rate in grinding (MRR) is the amount of volume removed from material in a specified time frame (usually per minute) when performing different machining operations.
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.
Width of Grinding Path - (Measured in Meter) - Width of grinding path is defined as the width of cut in the axial direction of grinding wheel, also known as back engagement. It's purpose to apply consistent pressure to the grinding wheel.
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.

STEP 1: Convert Input(s) to Base Unit

Diameter of Workpiece: 227.4 Millimeter --> 0.2274 Meter (Check conversion here)
Width of Grinding Path: 1100 Millimeter --> 1.1 Meter (Check conversion here)
Feed Speed: 203.6043 Millimeter per Second --> 0.2036043 Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z_w = pi*d_w*a_p*V_f --> pi*0.2274*1.1*0.2036043

Evaluating ... ...

Z_w = 0.15999999312806

STEP 3: Convert Result to Output's Unit

0.15999999312806 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

0.15999999312806 ≈ 0.16 Cubic Meter per Second <-- Metal Removal Rate in Grinding

(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 » Metal removal rate given Diameter of workpiece

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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

Metal removal rate given Diameter of workpiece Formula

Metal Removal Rate in Grinding = pi*Diameter of Workpiece*Width of Grinding Path*Feed Speed
Z_w = pi*d_w*a_p*V_f

what is feed and depth of cut?

1.Feed (infeed rate): Feed is the speed at which the workpiece moves into the grinding wheel, determining how much material is removed per unit time. Higher feed rates remove material faster but can create a rougher finish. 2.Depth of cut: Depth of cut refers to the amount of material removed by the grinding wheel in a single pass. A larger depth of cut removes more material quickly, but also increases grinding force and might affect surface quality.

How to Calculate Metal removal rate given Diameter of workpiece?

Metal removal rate given Diameter of workpiece calculator uses Metal Removal Rate in Grinding = pi*Diameter of Workpiece*Width of Grinding Path*Feed Speed to calculate the Metal Removal Rate in Grinding, Metal removal rate given Diameter of workpiece is the amount of volume removed from workpiece in a specified time frame. MRR in grinding depends on several key parameters such as workpiece speed, grinding wheel speed, machine infeed etc. By adjusting these parameters, we can control the aggressiveness of the grinding process and optimize the MRR for our specific needs. Metal Removal Rate in Grinding is denoted by Z_w symbol.

How to calculate Metal removal rate given Diameter of workpiece using this online calculator? To use this online calculator for Metal removal rate given Diameter of workpiece, enter Diameter of Workpiece (d_w), Width of Grinding Path (a_p) & Feed Speed (V_f) and hit the calculate button. Here is how the Metal removal rate given Diameter of workpiece calculation can be explained with given input values -> 0.231552 = pi*0.2274*1.1*0.2036043.

FAQ

What is Metal removal rate given Diameter of workpiece?

Metal removal rate given Diameter of workpiece is the amount of volume removed from workpiece in a specified time frame. MRR in grinding depends on several key parameters such as workpiece speed, grinding wheel speed, machine infeed etc. By adjusting these parameters, we can control the aggressiveness of the grinding process and optimize the MRR for our specific needs and is represented as Z_w = pi*d_w*a_p*V_f or Metal Removal Rate in Grinding = pi*Diameter of Workpiece*Width of Grinding Path*Feed Speed. 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, Width of grinding path is defined as the width of cut in the axial direction of grinding wheel, also known as back engagement. It's purpose to apply consistent pressure to the grinding 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.

How to calculate Metal removal rate given Diameter of workpiece?

Metal removal rate given Diameter of workpiece is the amount of volume removed from workpiece in a specified time frame. MRR in grinding depends on several key parameters such as workpiece speed, grinding wheel speed, machine infeed etc. By adjusting these parameters, we can control the aggressiveness of the grinding process and optimize the MRR for our specific needs is calculated using Metal Removal Rate in Grinding = pi*Diameter of Workpiece*Width of Grinding Path*Feed Speed. To calculate Metal removal rate given Diameter of workpiece, you need Diameter of Workpiece (d_w), Width of Grinding Path (a_p) & Feed Speed (V_f). With our tool, you need to enter the respective value for Diameter of Workpiece, Width of Grinding Path & Feed Speed 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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