Mean Cutting Speed Calculator

✖Workpiece Revolution is defined as the rotational frequency of the workpiece makes in a specified amount of time.ⓘ Workpiece Revolution [n]			+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%
✖Diameter of Machined Surface refers to the final diameter of a feature created by machining operation, specifically focusing on the measurement across the machined area.ⓘ Diameter of Machined Surface [d_m]			+10% -10%

✖Mean Cutting Speed in turning is the typical rate at which the cutting tool moves across the surface of the workpiece during machining. This determines efficient cutting operation.ⓘ Mean Cutting Speed [V_t]

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Formula

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Mean Cutting Speed

Formula

V t = n \cdot π \cdot \frac{d w + d m}{2}

Example

11.64424 m/s = 775 rev/min \cdot π \cdot \frac{55.72 mm + 35.62 mm}{2}

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Mean Cutting Speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Cutting Speed in Turning = Workpiece Revolution*pi*(Work Surface Diameter+Diameter of Machined Surface)/2
V_t = n*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 in Turning - (Measured in Meter per Second) - Mean Cutting Speed in turning is the typical rate at which the cutting tool moves across the surface of the workpiece during machining. This determines efficient cutting operation.
Workpiece Revolution - (Measured in Radian per Second) - Workpiece Revolution is defined as the rotational frequency of the workpiece makes in a specified 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.
Diameter of Machined Surface - (Measured in Meter) - Diameter of Machined Surface refers to the final diameter of a feature created by machining operation, specifically focusing on the measurement across the machined area.

STEP 1: Convert Input(s) to Base Unit

Workpiece Revolution: 775 Revolution per Minute --> 81.1578102136035 Radian per Second (Check conversion here)
Work Surface Diameter: 55.72 Millimeter --> 0.05572 Meter (Check conversion here)
Diameter of Machined Surface: 35.62 Millimeter --> 0.03562 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_t = n*pi*(d_w+d_m)/2 --> 81.1578102136035*pi*(0.05572+0.03562)/2

Evaluating ... ...

V_t = 11.6442415185156

STEP 3: Convert Result to Output's Unit

11.6442415185156 Meter per Second --> No Conversion Required

FINAL ANSWER

11.6442415185156 ≈ 11.64424 Meter per Second <-- Mean Cutting Speed in Turning

(Calculation completed in 00.020 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

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< Cutting Operation Calculators

Mean Cutting Speed

Go Mean Cutting Speed in Turning = Workpiece Revolution*pi*(Work Surface Diameter+Diameter of Machined Surface)/2

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

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 in Turning = Workpiece Revolution*pi*(Work Surface Diameter+Diameter of Machined Surface)/2
V_t = n*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 in Turning = Workpiece Revolution*pi*(Work Surface Diameter+Diameter of Machined Surface)/2 to calculate the Mean Cutting Speed in Turning, The Mean Cutting Speed is used to determine the time average of cutting speed by which the material is removed from the workpiece. It gives us useful information about estimated time required to complete machining operation. Mean Cutting Speed in Turning is denoted by V_t symbol.

How to calculate Mean Cutting Speed using this online calculator? To use this online calculator for Mean Cutting Speed, enter Workpiece Revolution (n), Work Surface Diameter (d_w) & Diameter of Machined Surface (d_m) and hit the calculate button. Here is how the Mean Cutting Speed calculation can be explained with given input values -> 11.64424 = 81.1578102136035*pi*(0.05572+0.03562)/2.

FAQ

What is Mean Cutting Speed?

The Mean Cutting Speed is used to determine the time average of cutting speed by which the material is removed from the workpiece. It gives us useful information about estimated time required to complete machining operation and is represented as V_t = n*pi*(d_w+d_m)/2 or Mean Cutting Speed in Turning = Workpiece Revolution*pi*(Work Surface Diameter+Diameter of Machined Surface)/2. Workpiece Revolution is defined as the rotational frequency of the workpiece makes in a specified amount of time, Work Surface Diameter is the diameter of a cylindrical job or workpiece before the machining operation has been done on it & Diameter of Machined Surface refers to the final diameter of a feature created by machining operation, specifically focusing on the measurement across the machined area.

How to calculate Mean Cutting Speed?

The Mean Cutting Speed is used to determine the time average of cutting speed by which the material is removed from the workpiece. It gives us useful information about estimated time required to complete machining operation is calculated using Mean Cutting Speed in Turning = Workpiece Revolution*pi*(Work Surface Diameter+Diameter of Machined Surface)/2. To calculate Mean Cutting Speed, you need Workpiece Revolution (n), Work Surface Diameter (d_w) & Diameter of Machined Surface (d_m). With our tool, you need to enter the respective value for Workpiece Revolution, Work Surface Diameter & Diameter of Machined Surface 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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