Metal removal rate given Diameter of workpiece Calculator

✖The Diameter of Workpiece is defined as the diameter of the workpiece which is undergoing grinding.ⓘ Diameter of Workpiece [d_w]			+10% -10%
✖Width of grinding path, also referred as back engagement is the length of the grinding path made by grinding wheel.ⓘ Width of Grinding Path [a_p]			+10% -10%
✖Feed Speed is the distance a cutting tool travels during one spindle revolution.ⓘ Feed Speed [V_f]			+10% -10%

✖Metal 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 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 = 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 - (Measured in Cubic Meter per Second) - Metal 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.
Diameter of Workpiece - (Measured in Meter) - The Diameter of Workpiece is defined as the diameter of the workpiece which is undergoing grinding.
Width of Grinding Path - (Measured in Meter) - Width of grinding path, also referred as back engagement is the length of the grinding path made by grinding wheel.
Feed Speed - (Measured in Meter per Second) - Feed Speed is the distance a cutting tool travels during one spindle revolution.

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

(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 Diameter of workpiece Formula

Metal Removal Rate = 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?

The feed is the rate at which the tool is moved into the part or the part into the tool. The feed is measured in feet, inches, or millimeters per time period. Depth of Cut (DOC): The measurement. (normally in inches or millimeters) of how wide. and deep the tool cuts into the workpiece.

How to Calculate Metal removal rate given Diameter of workpiece?

Metal removal rate given Diameter of workpiece calculator uses Metal Removal Rate = pi*Diameter of Workpiece*Width of Grinding Path*Feed Speed to calculate the Metal Removal Rate, The Metal removal rate given Diameter of workpiece is the amount of material removed per time unit (usually per minute) when performing machining operations such as using grinding. Metal Removal Rate 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?

The Metal removal rate given Diameter of workpiece is the amount of material removed per time unit (usually per minute) when performing machining operations such as using grinding and is represented as Z_w = pi*d_w*a_p*V_f or Metal Removal Rate = pi*Diameter of Workpiece*Width of Grinding Path*Feed Speed. The Diameter of Workpiece is defined as the diameter of the workpiece which is undergoing grinding, Width of grinding path, also referred as back engagement is the length of the grinding path made by grinding wheel & Feed Speed is the distance a cutting tool travels during one spindle revolution.

How to calculate Metal removal rate given Diameter of workpiece?

The Metal removal rate given Diameter of workpiece is the amount of material removed per time unit (usually per minute) when performing machining operations such as using grinding is calculated using Metal Removal Rate = 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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