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Cutting Speed given Spindle Speed Formula

GoCutting Speed from Tool Temperature Formula

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Cutting velocity, cutting speed, it is the speed at which the cutting tool engages the workpiece material, directly impacting the efficiency, quality, and economics of the machining process. Check FAQs

V = π \cdot D \cdot N

V - Cutting Velocity?D - Workpiece Diameter?N - Spindle Speed?π - Archimedes' constant?

Cutting Speed given Spindle Speed Example

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With units

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

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

Here is how the Cutting Speed given Spindle Speed equation looks like.

2.0016 = 3.1416 \cdot 0.0101 \cdot 600

2.0016m/s = 3.1416 \cdot 0.0101m \cdot 600rev/min

2.0016 = 3.1416 \cdot 0.0101 \cdot 600

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Cutting Speed given Spindle Speed Solution

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

FIRST Step Consider the formula

V = π \cdot D \cdot N

Next Step Substitute values of Variables

∴

V = π \cdot 0.0101m \cdot 600rev/min

Next Step Substitute values of Constants

∴

V = 3.1416 \cdot 0.0101m \cdot 600rev/min

Next Step Convert Units

∴

V = 3.1416 \cdot 0.0101m \cdot 62.8319rad/s

Next Step Prepare to Evaluate

∴

V = 3.1416 \cdot 0.0101 \cdot 62.8319

Next Step Evaluate

∴

V = 2.001555772439m/s

LAST Step Rounding Answer

∴

V = 2.0016m/s

Cutting Speed given Spindle Speed Formula Elements

Variables

Constants

Cutting Velocity

Cutting velocity, cutting speed, it is the speed at which the cutting tool engages the workpiece material, directly impacting the efficiency, quality, and economics of the machining process.

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Cutting Velocity

Workpiece Diameter

Workpiece Diameter is the width of workpiece used in machining.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Workpiece Diameter

Spindle Speed

Spindle Speed is the speed of machine tool spindle given in revolutions per minute.

Symbol: N

Measurement: Angular VelocityUnit: rev/min

Note: Value can be positive or negative.

Formulas to find Spindle Speed

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 to find Cutting Velocity

Go Cutting Speed from Tool Temperature

V = {(\frac{θ \cdot k^{0.44} \cdot c^{0.56}}{C 0 \cdot U s \cdot A^{0.22}})}^{\frac{100}{44}}

Other formulas in Mechanics of Orthogonal Cutting category

Go Machining Time given Spindle Speed

t = \frac{L}{f \cdot N}

Go Machining Time given Cutting Speed

t = \frac{π \cdot D \cdot L}{f \cdot V}

Go Surface Finish Constraint

C = \frac{0.0321}{r nose}

Go Nose Radius of Tool from Surface Finish Constraint

r nose = \frac{0.0321}{C}

How to Evaluate Cutting Speed given Spindle Speed?

Cutting Speed given Spindle Speed evaluator uses Cutting Velocity = pi*Workpiece Diameter*Spindle Speed to evaluate the Cutting Velocity, Cutting Speed given Spindle Speed is defined as the speed with which the cutting tool cuts the workpiece expressed in m/min. Cutting Velocity is denoted by V symbol.

How to evaluate Cutting Speed given Spindle Speed using this online evaluator? To use this online evaluator for Cutting Speed given Spindle Speed, enter Workpiece Diameter (D) & Spindle Speed (N) and hit the calculate button.

FAQs on Cutting Speed given Spindle Speed

What is the formula to find Cutting Speed given Spindle Speed?

The formula of Cutting Speed given Spindle Speed is expressed as Cutting Velocity = pi*Workpiece Diameter*Spindle Speed. Here is an example- 7205.601 = pi*0.01014*62.8318530685963.

How to calculate Cutting Speed given Spindle Speed?

With Workpiece Diameter (D) & Spindle Speed (N) we can find Cutting Speed given Spindle Speed using the formula - Cutting Velocity = pi*Workpiece Diameter*Spindle Speed. This formula also uses Archimedes' constant .

What are the other ways to Calculate Cutting Velocity?

Here are the different ways to Calculate Cutting Velocity-

Cutting Velocity=((Tool Temperature*Thermal Conductivity^0.44*Specific Heat Capacity^0.56)/(Tool Temperature Constant*Specific Cutting Energy*Cutting Area^0.22))^(100/44)

Can the Cutting Speed given Spindle Speed be negative?

No, the Cutting Speed given Spindle Speed, measured in Speed cannot be negative.

Which unit is used to measure Cutting Speed given Spindle Speed?

Cutting Speed given Spindle 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 Cutting Speed given Spindle Speed can be measured.

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