Average Material Removal Rate given Depth of Cut for Boring Operation Calculator

✖Feed Rate in Machining refers to the speed at which the cutting tool advances against the workpiece. It essentially controls how much material is removed with each pass of the tool.ⓘ 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_c]			+10% -10%
✖Rotational frequency of the workpiece is defined as the number of rotations the workpiece around the tip of single point cutting tool makes in a specified time frame.ⓘ Rotational Frequency of The Workpiece [n_w]			+10% -10%
✖Machined Surface Diameter is the diameter of the machined surface refers to the final diameter of a feature created by machining, specifically focusing on the measurement across the machined area.ⓘ Machined Surface Diameter [d'_m]			+10% -10%

✖Material Removal Rate in Boring Operation (MRR) is the volume of material removed per unit time from workpiece while performing boring operation.ⓘ Average Material Removal Rate given Depth of Cut for Boring Operation [Z_b]

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Formula

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Average Material Removal Rate given Depth of Cut for Boring Operation

Formula

`"Z"_{"b"} = pi*"f"*"d"_{"c"}*"n"_{"w"}*("d'"_{"m"}-"d"_{"c"})`

Example

`"0.004044m³/s"=pi*"2.7mm/rev"*"13mm"*"750rev/min"*("480mm"-"13mm")`

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Average Material Removal Rate given Depth of Cut for Boring Operation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
Z_b = pi*f*d_c*n_w*(d'_m-d_c)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Material Removal Rate in Boring Operation - (Measured in Cubic Meter per Second) - Material Removal Rate in Boring Operation (MRR) is the volume of material removed per unit time from workpiece while performing boring operation.
Feed Rate in Machining - (Measured in Meter Per Revolution) - Feed Rate in Machining refers to the speed at which the cutting tool advances against the workpiece. It essentially controls how much material is removed with each pass of the tool.
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 around the tip of single point cutting tool makes in a specified time frame.
Machined Surface Diameter - (Measured in Meter) - Machined Surface Diameter is the diameter of the machined surface refers to the final diameter of a feature created by machining, specifically focusing on the measurement across the machined area.

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_b = pi*f*d_c*n_w*(d'_m-d_c) --> pi*0.0027*0.013*78.5398163357453*(0.48-0.013)

Evaluating ... ...

Z_b = 0.00404448986132745

STEP 3: Convert Result to Output's Unit

0.00404448986132745 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

0.00404448986132745 ≈ 0.004044 Cubic Meter per Second <-- Material Removal Rate in Boring Operation

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Machine Tools and Operations » Cutting Operation » Average Material Removal Rate given Depth of Cut for Boring Operation

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Created by Kumar Siddhant

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

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Osmania University (OU), Hyderabad

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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+Diameter of Machined Surface)/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 Machine Tool/Metal Removal Rate

Cutting Speed Angle using Resultant Cutting Speed

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

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

Overall Efficiency of Machine Tool and Motor Drive System

Go Overall Efficiency of Machine Tool = 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 for Boring Operation Formula

Boring Operation

In machining, Boring is the process of enlarging a hole that has already been drilled by means of a boring tool attachment in lathe (boring bar), such as in boring a gun barrel or an engine cylinder. Boring is used to achieve greater accuracy of the diameter of a hole and can even be used to cut a tapered hole.

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

Average Material Removal Rate given Depth of Cut for Boring Operation calculator uses 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) to calculate the Material Removal Rate in Boring Operation, The Average Material Removal Rate given Depth of Cut for Boring Operation is a method to determine the average volume removed from workpiece in a specified time frame, while performing boring operation on lathe. A higher MRR indicates a faster boring process, meaning you can remove material and create the desired hole quicker. Material Removal Rate in Boring Operation is denoted by Z_b symbol.

How to calculate Average Material Removal Rate given Depth of Cut for Boring Operation using this online calculator? To use this online calculator for Average Material Removal Rate given Depth of Cut for Boring Operation, enter Feed Rate in Machining (f), Depth of Cut in Machining (d_c), Rotational Frequency of The Workpiece (n_w) & Machined Surface Diameter (d'_m) and hit the calculate button. Here is how the Average Material Removal Rate given Depth of Cut for Boring Operation calculation can be explained with given input values -> 0.004044 = pi*0.0027*0.013*78.5398163357453*(0.48-0.013).

FAQ

What is Average Material Removal Rate given Depth of Cut for Boring Operation?

The Average Material Removal Rate given Depth of Cut for Boring Operation is a method to determine the average volume removed from workpiece in a specified time frame, while performing boring operation on lathe. A higher MRR indicates a faster boring process, meaning you can remove material and create the desired hole quicker and is represented as Z_b = pi*f*d_c*n_w*(d'_m-d_c) or 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). Feed Rate in Machining refers to the speed at which the cutting tool advances against the workpiece. It essentially controls how much material is removed with each pass of the tool, 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 around the tip of single point cutting tool makes in a specified time frame & Machined Surface Diameter is the diameter of the machined surface refers to the final diameter of a feature created by machining, specifically focusing on the measurement across the machined area.

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

The Average Material Removal Rate given Depth of Cut for Boring Operation is a method to determine the average volume removed from workpiece in a specified time frame, while performing boring operation on lathe. A higher MRR indicates a faster boring process, meaning you can remove material and create the desired hole quicker is calculated using 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). To calculate Average Material Removal Rate given Depth of Cut for Boring Operation, you need Feed Rate in Machining (f), Depth of Cut in Machining (d_c), Rotational Frequency of The Workpiece (n_w) & Machined Surface Diameter (d'_m). 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.

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