Average Material Removal Rate given Depth of Cut Calculator

✖Feed Rate in Machining is defined as the tool's distance travelled during one spindle revolution.ⓘ Feed Rate in Machining [f]			+10% -10%
✖Depth of Cut in Machining is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction.ⓘ Depth of Cut in Machining [d_cut]			+10% -10%
✖Rotational Frequency of the Workpiece is defined as the number of rotations the workpiece makes in a unit amount of time.ⓘ Rotational Frequency of the Workpiece [n_w]			+10% -10%
✖Machined Surface Diameter is the diameter of a cylindrical Job or Workpiece after Machining.ⓘ Machined Surface Diameter [d_mc]			+10% -10%

✖Material removal rate in turning operation (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.ⓘ Average Material Removal Rate given Depth of Cut [Z_w-Turning]

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Formula

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Average Material Removal Rate given Depth of Cut

Formula

`"Z"_{"w-Turning"} = pi*"f"*"d"_{"cut"}*"n"_{"w"}*("d"_{"mc"}+"d"_{"cut"})`

Example

`"0.00427m³/s"=pi*"2.7mm/rev"*"13mm"*"750rev/min"*("480mm"+"13mm")`

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Average Material Removal Rate given Depth of Cut Solution

STEP 0: Pre-Calculation Summary

Formula Used

Material Removal Rate in Turning Operation = pi*Feed Rate in Machining*Depth of Cut in Machining*Rotational Frequency of the Workpiece*(Machined Surface Diameter+Depth of Cut in Machining)
Z_w-Turning = pi*f*d_cut*n_w*(d_mc+d_cut)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Material Removal Rate in Turning Operation - (Measured in Cubic Meter per Second) - Material removal rate in turning operation (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.
Feed Rate in Machining - (Measured in Meter Per Revolution) - Feed Rate in Machining is defined as the tool's distance travelled during one spindle revolution.
Depth of Cut in Machining - (Measured in Meter) - Depth of Cut in Machining is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction.
Rotational Frequency of the Workpiece - (Measured in Radian per Second) - Rotational Frequency of the Workpiece is defined as the number of rotations the workpiece makes in a unit amount of time.
Machined Surface Diameter - (Measured in Meter) - Machined Surface Diameter is the diameter of a cylindrical Job or Workpiece after Machining.

STEP 1: Convert Input(s) to Base Unit

Feed Rate in Machining: 2.7 Millimeter Per Revolution --> 0.0027 Meter Per Revolution (Check conversion here)
Depth of Cut in Machining: 13 Millimeter --> 0.013 Meter (Check conversion here)
Rotational Frequency of the Workpiece: 750 Revolution per Minute --> 78.5398163357453 Radian per Second (Check conversion here)
Machined Surface Diameter: 480 Millimeter --> 0.48 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z_w-Turning = pi*f*d_cut*n_w*(d_mc+d_cut) --> pi*0.0027*0.013*78.5398163357453*(0.48+0.013)

Evaluating ... ...

Z_w-Turning = 0.00426966488572684

STEP 3: Convert Result to Output's Unit

0.00426966488572684 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

0.00426966488572684 ≈ 0.00427 Cubic Meter per Second <-- Material Removal Rate in Turning Operation

(Calculation completed in 00.004 seconds)

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Created by Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

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< 10+ Cutting Operation Calculators

Average Material Removal Rate given Depth of Cut

Go Material Removal Rate in Turning Operation = pi*Feed Rate in Machining*Depth of Cut in Machining*Rotational Frequency of the Workpiece*(Machined Surface Diameter+Depth of Cut in Machining)

Average Material Removal Rate given Depth of Cut for Boring Operation

Go Material Removal Rate in Boring Operation = pi*Feed Rate in Machining*Depth of Cut in Machining*Rotational Frequency of the Workpiece*(Machined Surface Diameter-Depth of Cut in Machining)

Mean Cutting Speed

Go Mean Cutting Speed in Turning = Workpiece Revolution*pi*(Work Surface Diameter+Machine Surface Diameter)/2

Energy per Unit Material Removal given Efficiency of Motor Drive System

Go Energy Required for Unit Volume Removal = Electrical Power Consumed in Machining*Overall Efficiency of Prime Mover/Metal removal rate

Average Material Removal Rate using Uncut Chip Cross-Section Area

Go Material Removal Rate in Turning Operation = Cross-Sectional Area of the Uncut Chip*Mean Cutting Speed

Cutting Speed Angle using Resultant Cutting Speed

Go Cutting Speed Angle = acos(Cutting Velocity/Resultant Cutting Velocity)

Overall Efficiency of Machine Tool and Motor Drive System

Go Overall Efficiency of Prime Mover = Machining Power/Electrical Power Consumed in Machining

Cutting Speed in Turning

Go Cutting Speed = pi*Diameter of Workpiece*Spindle Speed

Power required for Machining Operation

Go Machining Power = Metal removal rate*Energy Required for Unit Volume Removal

Cross sectional Area of Uncut Chip

Go Cross-sectional Area of Uncut Chip = Feed Rate*Depth of Cut

Average Material Removal Rate given Depth of Cut Formula

Assumptions for The Average Material Removal Rate when Depth of Cut is Given

This method to determine the Average Material Removal Rate (MRR) is an approximation method based on the assumption that the workpiece is uniform throughout, both dimensionally and homogeneously.

How to Calculate Average Material Removal Rate given Depth of Cut?

Average Material Removal Rate given Depth of Cut calculator uses Material Removal Rate in Turning Operation = pi*Feed Rate in Machining*Depth of Cut in Machining*Rotational Frequency of the Workpiece*(Machined Surface Diameter+Depth of Cut in Machining) to calculate the Material Removal Rate in Turning Operation, The Average Material Removal Rate given Depth of Cut is a method to determine the time average of rate of Material Removal, directly from the Machining Conditions. It is an approximation method based on the assumption that the workpiece is uniform throughout. Material Removal Rate in Turning Operation is denoted by Z_w-Turning symbol.

How to calculate Average Material Removal Rate given Depth of Cut using this online calculator? To use this online calculator for Average Material Removal Rate given Depth of Cut, enter Feed Rate in Machining (f), Depth of Cut in Machining (d_cut), Rotational Frequency of the Workpiece (n_w) & Machined Surface Diameter (d_mc) and hit the calculate button. Here is how the Average Material Removal Rate given Depth of Cut calculation can be explained with given input values -> 0.00427 = pi*0.0027*0.013*78.5398163357453*(0.48+0.013).

FAQ

What is Average Material Removal Rate given Depth of Cut?

The Average Material Removal Rate given Depth of Cut is a method to determine the time average of rate of Material Removal, directly from the Machining Conditions. It is an approximation method based on the assumption that the workpiece is uniform throughout and is represented as Z_w-Turning = pi*f*d_cut*n_w*(d_mc+d_cut) or Material Removal Rate in Turning Operation = pi*Feed Rate in Machining*Depth of Cut in Machining*Rotational Frequency of the Workpiece*(Machined Surface Diameter+Depth of Cut in Machining). Feed Rate in Machining is defined as the tool's distance travelled during one spindle revolution, Depth of Cut in Machining is the tertiary cutting motion that provides a necessary depth of material that is required to remove by machining. It is usually given in the third perpendicular direction, Rotational Frequency of the Workpiece is defined as the number of rotations the workpiece makes in a unit amount of time & Machined Surface Diameter is the diameter of a cylindrical Job or Workpiece after Machining.

How to calculate Average Material Removal Rate given Depth of Cut?

The Average Material Removal Rate given Depth of Cut is a method to determine the time average of rate of Material Removal, directly from the Machining Conditions. It is an approximation method based on the assumption that the workpiece is uniform throughout is calculated using Material Removal Rate in Turning Operation = pi*Feed Rate in Machining*Depth of Cut in Machining*Rotational Frequency of the Workpiece*(Machined Surface Diameter+Depth of Cut in Machining). To calculate Average Material Removal Rate given Depth of Cut, you need Feed Rate in Machining (f), Depth of Cut in Machining (d_cut), Rotational Frequency of the Workpiece (n_w) & Machined Surface Diameter (d_mc). With our tool, you need to enter the respective value for Feed Rate in Machining, Depth of Cut in Machining, Rotational Frequency of the Workpiece & Machined Surface Diameter 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 Material Removal Rate in Turning Operation?

In this formula, Material Removal Rate in Turning Operation uses Feed Rate in Machining, Depth of Cut in Machining, Rotational Frequency of the Workpiece & Machined Surface Diameter. We can use 1 other way(s) to calculate the same, which is/are as follows -

Material Removal Rate in Turning Operation = Cross-Sectional Area of the Uncut Chip*Mean Cutting Speed

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