Mean Cutting Speed Calculator

✖Angular Velocity of Job or Workpiece is defined as the number of rotations the workpiece makes in a unit amount of time.ⓘ Angular Velocity of Job or Workpiece [N_v]			+10% -10%
✖Work Surface Diameter is the diameter of a cylindrical Job or Workpiece before the Machining operation has been done on it.ⓘ Work Surface Diameter [d_w]			+10% -10%
✖Machine Surface Diameter is the diameter of a cylindrical Job or Workpiece after Machining.ⓘ Machine Surface Diameter [d_m]			+10% -10%

✖Mean Cutting Speed is defined as the overall average cutting speed with which the tool cuts the workpiece.ⓘ Mean Cutting Speed [V_av]

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Formula

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Mean Cutting Speed

Formula

`"V"_{"av"} = "N"_{"v"}*pi*("d"_{"w"}+"d"_{"m"})/2`

Example

`"2.401604m/s"="200rev/min"*pi*("25mm"+"48mm")/2`

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Mean Cutting Speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Cutting Speed = Angular Velocity of Job or Workpiece*pi*(Work Surface Diameter+Machine Surface Diameter)/2
V_av = N_v*pi*(d_w+d_m)/2
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
Work Surface Diameter - (Measured in Meter) - Work Surface Diameter is the diameter of a cylindrical Job or Workpiece before the Machining operation has been done on it.
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

Angular Velocity of Job or Workpiece: 200 Revolution per Minute --> 20.9439510228654 Radian per Second (Check conversion here)
Work Surface Diameter: 25 Millimeter --> 0.025 Meter (Check conversion here)
Machine Surface Diameter: 48 Millimeter --> 0.048 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_av = N_v*pi*(d_w+d_m)/2 --> 20.9439510228654*pi*(0.025+0.048)/2

Evaluating ... ...

V_av = 2.40160373747611

STEP 3: Convert Result to Output's Unit

2.40160373747611 Meter per Second --> No Conversion Required

FINAL ANSWER

2.40160373747611 ≈ 2.401604 Meter per Second <-- Mean Cutting Speed

(Calculation completed in 00.005 seconds)

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Credits

Created by Kumar Siddhant

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

Kumar Siddhant has created this Calculator and 400+ more calculators!

Verified by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has verified this Calculator and 1200+ more calculators!

< 10+ Cutting Operation 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)

Mean Cutting Speed

Go Mean Cutting Speed = Angular Velocity of Job or Workpiece*pi*(Work Surface Diameter+Machine Surface Diameter)/2

Energy per Unit Material Removal given Efficiency of Motor Drive System

Go Rate of Energy Consumption during Machining = Electrical Power Available for Machining*Overall Machining Efficiency/Metal removal rate

Cutting Speed Angle using Resultant Cutting Speed

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

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

Overall Efficiency of Machine Tool and Motor Drive System

Go Overall Machining Efficiency = Machining Power/Electrical Power Available for 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*Rate of Energy Consumption during Machining

Cross sectional Area of Uncut Chip

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

Mean Cutting Speed Formula

Mean Cutting Speed = Angular Velocity of Job or Workpiece*pi*(Work Surface Diameter+Machine Surface Diameter)/2
V_av = N_v*pi*(d_w+d_m)/2

Maximum and Minimum Cutting Speed

The logic of Maximum and Minimum Cutting Speed is based on the larger and smaller diameter of the Work Surface and Machined Surface respectively. This happens when the rotational speed of the Spindle is kept constant (which is mostly the case).

How to Calculate Mean Cutting Speed?

Mean Cutting Speed calculator uses Mean Cutting Speed = Angular Velocity of Job or Workpiece*pi*(Work Surface Diameter+Machine Surface Diameter)/2 to calculate the Mean Cutting Speed, The Mean Cutting Speed is used to determine the time average of speed by which the material is removed from the workpiece. Mean Cutting Speed is denoted by V_av symbol.

How to calculate Mean Cutting Speed using this online calculator? To use this online calculator for Mean Cutting Speed, enter Angular Velocity of Job or Workpiece (N_v), Work Surface Diameter (d_w) & Machine Surface Diameter (d_m) and hit the calculate button. Here is how the Mean Cutting Speed calculation can be explained with given input values -> 2.401604 = 20.9439510228654*pi*(0.025+0.048)/2.

FAQ

What is Mean Cutting Speed?

The Mean Cutting Speed is used to determine the time average of speed by which the material is removed from the workpiece and is represented as V_av = N_v*pi*(d_w+d_m)/2 or Mean Cutting Speed = Angular Velocity of Job or Workpiece*pi*(Work Surface Diameter+Machine Surface Diameter)/2. Angular Velocity of Job or Workpiece is defined as the number of rotations the workpiece makes in a unit amount of time, Work Surface Diameter is the diameter of a cylindrical Job or Workpiece before the Machining operation has been done on it & Machine Surface Diameter is the diameter of a cylindrical Job or Workpiece after Machining.

How to calculate Mean Cutting Speed?

The Mean Cutting Speed is used to determine the time average of speed by which the material is removed from the workpiece is calculated using Mean Cutting Speed = Angular Velocity of Job or Workpiece*pi*(Work Surface Diameter+Machine Surface Diameter)/2. To calculate Mean Cutting Speed, you need Angular Velocity of Job or Workpiece (N_v), Work Surface Diameter (d_w) & Machine Surface Diameter (d_m). With our tool, you need to enter the respective value for Angular Velocity of Job or Workpiece, Work Surface Diameter & Machine 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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