Average Material Removal Rate using Uncut Chip Cross-Section Area Calculator

✖The Cross-Sectional Area of the Uncut Chip is the area enclosed within the outer surface of the workpiece and the line of cut followed by the single-point cutting edge. It is calculated for one pass.ⓘ Cross-Sectional Area of the Uncut Chip [A_cross]			+10% -10%
✖Mean Cutting Speed is defined as the overall average cutting speed with which the tool cuts the workpiece.ⓘ Mean Cutting Speed [V_mean]			+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 using Uncut Chip Cross-Section Area [Z_w-Turning]

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Formula

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Average Material Removal Rate using Uncut Chip Cross-Section Area

Formula

`"Z"_{"w-Turning"} = "A"_{"cross"}*"V"_{"mean"}`

Example

`"0.00427m³/s"="54.4mm²"*"78.5m/s"`

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Average Material Removal Rate using Uncut Chip Cross-Section Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Material Removal Rate in Turning Operation = Cross-Sectional Area of the Uncut Chip*Mean Cutting Speed
Z_w-Turning = A_cross*V_mean
This formula uses 3 Variables

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.
Cross-Sectional Area of the Uncut Chip - (Measured in Square Meter) - The Cross-Sectional Area of the Uncut Chip is the area enclosed within the outer surface of the workpiece and the line of cut followed by the single-point cutting edge. It is calculated for one pass.
Mean Cutting Speed - (Measured in Meter per Second) - Mean Cutting Speed is defined as the overall average cutting speed with which the tool cuts the workpiece.

STEP 1: Convert Input(s) to Base Unit

Cross-Sectional Area of the Uncut Chip: 54.4 Square Millimeter --> 5.44E-05 Square Meter (Check conversion here)
Mean Cutting Speed: 78.5 Meter per Second --> 78.5 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z_w-Turning = A_cross*V_mean --> 5.44E-05*78.5

Evaluating ... ...

Z_w-Turning = 0.0042704

STEP 3: Convert Result to Output's Unit

0.0042704 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

0.0042704 ≈ 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 using Uncut Chip Cross-Section Area Formula

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

Reason for considering Average Material Removal Rate

The main reason for considering the Average Material Removal Rate is to determine different after-effects of Machining like Heat Generation etc and make appropriate amendments to the manufacturing layout for improved production with minimal effort and wastage.

How to Calculate Average Material Removal Rate using Uncut Chip Cross-Section Area?

Average Material Removal Rate using Uncut Chip Cross-Section Area calculator uses Material Removal Rate in Turning Operation = Cross-Sectional Area of the Uncut Chip*Mean Cutting Speed to calculate the Material Removal Rate in Turning Operation, The Average Material Removal Rate using Uncut Chip Cross-Section Area formula is defined as the time average of rate of Material Removal during a Machining operation. It is the average amount of scrap generated per unit time during Machining. Material Removal Rate in Turning Operation is denoted by Z_w-Turning symbol.

How to calculate Average Material Removal Rate using Uncut Chip Cross-Section Area using this online calculator? To use this online calculator for Average Material Removal Rate using Uncut Chip Cross-Section Area, enter Cross-Sectional Area of the Uncut Chip (A_cross) & Mean Cutting Speed (V_mean) and hit the calculate button. Here is how the Average Material Removal Rate using Uncut Chip Cross-Section Area calculation can be explained with given input values -> 0.000816 = 5.44E-05*78.5.

FAQ

What is Average Material Removal Rate using Uncut Chip Cross-Section Area?

The Average Material Removal Rate using Uncut Chip Cross-Section Area formula is defined as the time average of rate of Material Removal during a Machining operation. It is the average amount of scrap generated per unit time during Machining and is represented as Z_w-Turning = A_cross*V_mean or Material Removal Rate in Turning Operation = Cross-Sectional Area of the Uncut Chip*Mean Cutting Speed. The Cross-Sectional Area of the Uncut Chip is the area enclosed within the outer surface of the workpiece and the line of cut followed by the single-point cutting edge. It is calculated for one pass & Mean Cutting Speed is defined as the overall average cutting speed with which the tool cuts the workpiece.

How to calculate Average Material Removal Rate using Uncut Chip Cross-Section Area?

The Average Material Removal Rate using Uncut Chip Cross-Section Area formula is defined as the time average of rate of Material Removal during a Machining operation. It is the average amount of scrap generated per unit time during Machining is calculated using Material Removal Rate in Turning Operation = Cross-Sectional Area of the Uncut Chip*Mean Cutting Speed. To calculate Average Material Removal Rate using Uncut Chip Cross-Section Area, you need Cross-Sectional Area of the Uncut Chip (A_cross) & Mean Cutting Speed (V_mean). With our tool, you need to enter the respective value for Cross-Sectional Area of the Uncut Chip & Mean Cutting Speed 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 Cross-Sectional Area of the Uncut Chip & Mean Cutting Speed. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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