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Cutting Speed given Angular Speed Formula

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Cutting Speed is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute). Check FAQs

V cutting = π \cdot d \cdot ω

V_cutting - Cutting Speed?d - Diameter?ω - Angular Speed?π - Archimedes' constant?

Cutting Speed given Angular Speed Example

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With units

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

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

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

1514.3593 = 3.1416 \cdot 11502 \cdot 6.67

1514.3593m/s = 3.1416 \cdot 11502mm \cdot 6.67rev/s

1514.3593 = 3.1416 \cdot 11502 \cdot 6.67

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Cutting Speed given Angular Speed Solution

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

FIRST Step Consider the formula

V cutting = π \cdot d \cdot ω

Next Step Substitute values of Variables

∴

V cutting = π \cdot 11502mm \cdot 6.67rev/s

Next Step Substitute values of Constants

∴

V cutting = 3.1416 \cdot 11502mm \cdot 6.67rev/s

Next Step Convert Units

∴

V cutting = 3.1416 \cdot 11.502m \cdot 41.9088rad/s

Next Step Prepare to Evaluate

∴

V cutting = 3.1416 \cdot 11.502 \cdot 41.9088

Next Step Evaluate

∴

V cutting = 1514.35933213942m/s

LAST Step Rounding Answer

∴

V cutting = 1514.3593m/s

Cutting Speed given Angular Speed Formula Elements

Variables

Constants

Cutting Speed

Cutting Speed is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute).

Symbol: V_cutting

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Cutting Speed

Diameter

Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter

Angular Speed

Angular speed is defined as the rate of change of angular displacement.

Symbol: ω

Measurement: Angular VelocityUnit: rev/s

Note: Value can be positive or negative.

Formulas to find Angular 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 in Metal Cutting category

Go Shear Angle

ϕ = a \tan (w \cdot \frac{\cos (θ)}{1 - w \cdot \sin (θ)})

Go Shear Force

F s = Fc \cdot \cos (θ) - P t \cdot \sin (θ)

Go Shear Plane Angle

ϕ = \arctan (\frac{r \cdot \cos (α)}{1 - r \cdot \sin (α)})

Go Shear Strain

𝜂 = \tan (ϕ) + \cot (ϕ - α)

How to Evaluate Cutting Speed given Angular Speed?

Cutting Speed given Angular Speed evaluator uses Cutting Speed = pi*Diameter*Angular Speed to evaluate the Cutting Speed, Cutting Speed given Angular Speed is defined as the speed at which the work moves with respect to the tool (usually measured in feet per minute). Cutting Speed is denoted by V_cutting symbol.

How to evaluate Cutting Speed given Angular Speed using this online evaluator? To use this online evaluator for Cutting Speed given Angular Speed, enter Diameter (d) & Angular Speed (ω) and hit the calculate button.

FAQs on Cutting Speed given Angular Speed

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

The formula of Cutting Speed given Angular Speed is expressed as Cutting Speed = pi*Diameter*Angular Speed. Here is an example- 1514.359 = pi*11.502*41.9088459967537.

How to calculate Cutting Speed given Angular Speed?

With Diameter (d) & Angular Speed (ω) we can find Cutting Speed given Angular Speed using the formula - Cutting Speed = pi*Diameter*Angular Speed. This formula also uses Archimedes' constant .

Can the Cutting Speed given Angular Speed be negative?

Yes, the Cutting Speed given Angular Speed, measured in Speed can be negative.

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

Cutting Speed given Angular 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 Angular Speed can be measured.

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