Average Material Removal Rate given Depth of Cut for Boring Operation 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 Boring 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 for Boring Operation [Z_w-Boring]

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Formula

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Average Material Removal Rate given Depth of Cut for Boring Operation

Formula

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

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_w-Boring = 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 Boring Operation - (Measured in Cubic Meter per Second) - Material Removal Rate in Boring 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-Boring = pi*f*d_cut*n_w*(d_mc-d_cut) --> pi*0.0027*0.013*78.5398163357453*(0.48-0.013)

Evaluating ... ...

Z_w-Boring = 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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< 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 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 single-point cutting tool, 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 time average of rate of Material Removal, directly from the Machining Conditions specifically for Boring Operation. Material Removal Rate in Boring Operation is denoted by Z_w-Boring 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_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 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 time average of rate of Material Removal, directly from the Machining Conditions specifically for Boring Operation and is represented as Z_w-Boring = pi*f*d_cut*n_w*(d_mc-d_cut) 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 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 for Boring Operation?

The Average Material Removal Rate given Depth of Cut for Boring Operation is a method to determine the time average of rate of Material Removal, directly from the Machining Conditions specifically for Boring Operation 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_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.

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