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Mean Cutting Speed Formula

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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. Check FAQs

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

V_t - Mean Cutting Speed in Turning?n - Workpiece Revolution?d_w - Work Surface Diameter?d_m - Diameter of Machined Surface?π - Archimedes' constant?

Mean Cutting Speed Example

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With units

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Here is how the Mean Cutting Speed equation looks like with Values.

Here is how the Mean Cutting Speed equation looks like with Units.

Here is how the Mean Cutting Speed equation looks like.

11.6442 = 775 \cdot 3.1416 \cdot \frac{55.72 + 35.62}{2}

11.6442m/s = 775rev/min \cdot 3.1416 \cdot \frac{55.72mm + 35.62mm}{2}

11.6442 = 775 \cdot 3.1416 \cdot \frac{55.72 + 35.62}{2}

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Mean Cutting Speed Solution

Follow our step by step solution on how to calculate Mean Cutting Speed?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V t = 775rev/min \cdot π \cdot \frac{55.72mm + 35.62mm}{2}

Next Step Substitute values of Constants

∴

V t = 775rev/min \cdot 3.1416 \cdot \frac{55.72mm + 35.62mm}{2}

Next Step Convert Units

∴

V t = 81.1578rad/s \cdot 3.1416 \cdot \frac{0.0557m + 0.0356m}{2}

Next Step Prepare to Evaluate

∴

V t = 81.1578 \cdot 3.1416 \cdot \frac{0.0557 + 0.0356}{2}

Next Step Evaluate

∴

V t = 11.6442415185156m/s

LAST Step Rounding Answer

∴

V t = 11.6442m/s

Mean Cutting Speed Formula Elements

Variables

Constants

Mean Cutting Speed in Turning

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.

Symbol: V_t

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Mean Cutting Speed in Turning

Workpiece Revolution

Workpiece Revolution is defined as the rotational frequency of the workpiece makes in a specified amount of time.

Symbol: n

Measurement: Angular VelocityUnit: rev/min

Note: Value should be greater than 0.

Formulas to find Workpiece Revolution

Work Surface Diameter

Work Surface Diameter is the diameter of a cylindrical job or workpiece before the machining operation has been done on it.

Symbol: d_w

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Work Surface Diameter

Diameter of Machined Surface

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.

Symbol: d_m

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Machined Surface

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Cutting Operation category

Go Cutting Speed Angle using Resultant Cutting Speed

η = a \cos (\frac{v}{v e})

Go Cross sectional Area of Uncut Chip

A c = F \cdot D c

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

Z t = A cs \cdot V

Go Power required for Machining Operation

P m = Z w \cdot P s

How to Evaluate Mean Cutting Speed?

Mean Cutting Speed evaluator uses Mean Cutting Speed in Turning = Workpiece Revolution*pi*(Work Surface Diameter+Diameter of Machined Surface)/2 to evaluate 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 evaluate Mean Cutting Speed using this online evaluator? To use this online evaluator for Mean Cutting Speed, enter Workpiece Revolution (n), Work Surface Diameter (d_w) & Diameter of Machined Surface (d_m) and hit the calculate button.

FAQs on Mean Cutting Speed

What is the formula to find Mean Cutting Speed?

The formula of Mean Cutting Speed is expressed as Mean Cutting Speed in Turning = Workpiece Revolution*pi*(Work Surface Diameter+Diameter of Machined Surface)/2. Here is an example- 11.64424 = 81.1578102136035*pi*(0.05572+0.03562)/2.

How to calculate Mean Cutting Speed?

With Workpiece Revolution (n), Work Surface Diameter (d_w) & Diameter of Machined Surface (d_m) we can find Mean Cutting Speed using the formula - Mean Cutting Speed in Turning = Workpiece Revolution*pi*(Work Surface Diameter+Diameter of Machined Surface)/2. This formula also uses Archimedes' constant .

Can the Mean Cutting Speed be negative?

No, the Mean Cutting Speed, measured in Speed cannot be negative.

Which unit is used to measure Mean Cutting Speed?

Mean Cutting Speed is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Mean Cutting Speed can be measured.

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Mean Cutting Speed Formula

Mean Cutting Speed Example

Mean Cutting Speed Solution

Mean Cutting Speed Formula Elements

Other formulas in Cutting Operation category

How to Evaluate Mean Cutting Speed?

FAQs on Mean Cutting Speed

Variable Name