Average Material Removal Rate given Depth of Cut Solution

STEP 0: Pre-Calculation Summary
Formula Used
Material Removal Rate in Drilling = pi*Feed Rate*Depth of Cut*Angular Velocity of Job or Workpiece*(Machine Surface Diameter+Depth of Cut)
Zw material = pi*f*dcut*Nv*(dm+dcut)
This formula uses 1 Constants, 5 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Material Removal Rate in Drilling - (Measured in Cubic Meter per Second) - Material removal rate in Drilling (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 - (Measured in Meter Per Revolution) - Feed Rate is defined as the tool's distance travelled during one spindle revolution.
Depth of Cut - (Measured in Meter) - Depth of Cut 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.
Angular Velocity of Job or Workpiece - (Measured in Radian per Second) - Angular Velocity of Job or Workpiece is defined as the number of rotations the workpiece makes in a unit amount of time.
Machine Surface Diameter - (Measured in Meter) - Machine Surface Diameter is the diameter of a cylindrical Job or Workpiece after Machining.
STEP 1: Convert Input(s) to Base Unit
Feed Rate: 0.7 Millimeter Per Revolution --> 0.0007 Meter Per Revolution (Check conversion here)
Depth of Cut: 13 Millimeter --> 0.013 Meter (Check conversion here)
Angular Velocity of Job or Workpiece: 200 Revolution per Minute --> 20.9439510228654 Radian per Second (Check conversion here)
Machine Surface Diameter: 48 Millimeter --> 0.048 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Zw material = pi*f*dcut*Nv*(dm+dcut) --> pi*0.0007*0.013*20.9439510228654*(0.048+0.013)
Evaluating ... ...
Zw material = 3.65241160184381E-05
STEP 3: Convert Result to Output's Unit
3.65241160184381E-05 Cubic Meter per Second --> No Conversion Required
FINAL ANSWER
3.65241160184381E-05 3.7E-5 Cubic Meter per Second <-- Material Removal Rate in Drilling
(Calculation completed in 00.004 seconds)

Credits

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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9 Material Removal Rate Calculators

Average Material Removal Rate given Depth of Cut for Boring Operation
Go Material Removal Rate in Drilling = pi*Feed Rate*Depth of Cut*Angular Velocity of Job or Workpiece*(Machine Surface Diameter-Depth of Cut)
Average Material Removal Rate given Depth of Cut
Go Material Removal Rate in Drilling = pi*Feed Rate*Depth of Cut*Angular Velocity of Job or Workpiece*(Machine Surface Diameter+Depth of Cut)
Material Removal Rate during Drilling Operation when Enlarging Existing Hole
Go Material Removal Rate in Drilling = pi*((Machine Surface Diameter^2)-(Work Surface Diameter^2))*Feed Speed/4
Material Removal Rate during Drilling Operation using Feed
Go Material Removal Rate in Drilling = pi*(Machine Surface Diameter^2)*Feed Rate*Rotational Frequency/4
Material Removal Rate in Cylindrical and Internal Grinder
Go Material Removal Rate in Drilling = pi*Feed Rate*Work Surface Diameter*Traverse Speed
Material Removal Rate in Plunge-Grinder
Go Material Removal Rate in Drilling = pi*Feed Rate*Work Surface Diameter*Feed Speed
Material Removal Rate during Drilling Operation
Go Material Removal Rate in Drilling = pi*(Machine Surface Diameter^2)*Feed Speed/4
Material Removal Rate in Horizontal and Vertical Spindle Surface-Grinder
Go Material Removal Rate in Drilling = Feed Rate*Depth of Cut*Traverse Speed
Average Material Removal Rate using Uncut Chip Cross-Section Area
Go Material Removal Rate in Drilling = Cross-sectional Area of Uncut Chip*Mean Cutting Speed

Average Material Removal Rate given Depth of Cut Formula

Material Removal Rate in Drilling = pi*Feed Rate*Depth of Cut*Angular Velocity of Job or Workpiece*(Machine Surface Diameter+Depth of Cut)
Zw material = pi*f*dcut*Nv*(dm+dcut)

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 Drilling = pi*Feed Rate*Depth of Cut*Angular Velocity of Job or Workpiece*(Machine Surface Diameter+Depth of Cut) to calculate the Material Removal Rate in Drilling, 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 Drilling is denoted by Zw material 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 (f), Depth of Cut (dcut), Angular Velocity of Job or Workpiece (Nv) & Machine Surface Diameter (dm) 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 -> 3.7E-5 = pi*0.0007*0.013*20.9439510228654*(0.048+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 Zw material = pi*f*dcut*Nv*(dm+dcut) or Material Removal Rate in Drilling = pi*Feed Rate*Depth of Cut*Angular Velocity of Job or Workpiece*(Machine Surface Diameter+Depth of Cut). Feed Rate is defined as the tool's distance travelled during one spindle revolution, Depth of Cut 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, Angular Velocity of Job or Workpiece is defined as the number of rotations the workpiece makes in a unit amount of time & Machine 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 Drilling = pi*Feed Rate*Depth of Cut*Angular Velocity of Job or Workpiece*(Machine Surface Diameter+Depth of Cut). To calculate Average Material Removal Rate given Depth of Cut, you need Feed Rate (f), Depth of Cut (dcut), Angular Velocity of Job or Workpiece (Nv) & Machine Surface Diameter (dm). With our tool, you need to enter the respective value for Feed Rate, Depth of Cut, Angular Velocity of Job or Workpiece & Machine 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 Drilling?
In this formula, Material Removal Rate in Drilling uses Feed Rate, Depth of Cut, Angular Velocity of Job or Workpiece & Machine Surface Diameter. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • Material Removal Rate in Drilling = Cross-sectional Area of Uncut Chip*Mean Cutting Speed
  • Material Removal Rate in Drilling = pi*Feed Rate*Depth of Cut*Angular Velocity of Job or Workpiece*(Machine Surface Diameter-Depth of Cut)
  • Material Removal Rate in Drilling = pi*(Machine Surface Diameter^2)*Feed Speed/4
  • Material Removal Rate in Drilling = pi*((Machine Surface Diameter^2)-(Work Surface Diameter^2))*Feed Speed/4
  • Material Removal Rate in Drilling = pi*(Machine Surface Diameter^2)*Feed Rate*Rotational Frequency/4
  • Material Removal Rate in Drilling = pi*Feed Rate*Work Surface Diameter*Feed Speed
  • Material Removal Rate in Drilling = pi*Feed Rate*Work Surface Diameter*Traverse Speed
  • Material Removal Rate in Drilling = Feed Rate*Depth of Cut*Traverse Speed
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