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Resultant Cutting Velocity Formula

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Resultant Cutting Velocity is the result from simultaneous primary tool velocity and feed velocity given to the tool during machining. Check FAQs

V r = \frac{v c}{\cos ((η))}

V_r - Resultant Cutting Velocity?v_c - Cutting Velocity?η - Cutting Speed Angle?

Resultant Cutting Velocity Example

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Here is how the Resultant Cutting Velocity equation looks like with Values.

Here is how the Resultant Cutting Velocity equation looks like with Units.

Here is how the Resultant Cutting Velocity equation looks like.

2.3094 = \frac{2}{\cos ((30))}

2.3094m/s = \frac{2m/s}{\cos ((30°))}

2.3094 = \frac{2}{\cos ((30))}

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Resultant Cutting Velocity Solution

Follow our step by step solution on how to calculate Resultant Cutting Velocity?

FIRST Step Consider the formula

V r = \frac{v c}{\cos ((η))}

Next Step Substitute values of Variables

∴

V r = \frac{2m/s}{\cos ((30°))}

Next Step Convert Units

∴

V r = \frac{2m/s}{\cos ((0.5236rad))}

Next Step Prepare to Evaluate

∴

V r = \frac{2}{\cos ((0.5236))}

Next Step Evaluate

∴

V r = 2.3094010767585m/s

LAST Step Rounding Answer

∴

V r = 2.3094m/s

Resultant Cutting Velocity Formula Elements

Variables

Functions

Resultant Cutting Velocity

Resultant Cutting Velocity is the result from simultaneous primary tool velocity and feed velocity given to the tool during machining.

Symbol: V_r

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Resultant Cutting Velocity

Cutting Velocity

The Cutting Velocity is the tangential velocity at the periphery of the cutter or workpiece (whichever is rotating).

Symbol: v_c

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Cutting Velocity

Cutting Speed Angle

Cutting Speed Angle is the angle between the direction of primary motion of the tool and resultant cutting direction.

Symbol: η

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Cutting Speed Angle

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Cutting Velocity category

Go Crater Depth for Sintered-Carbide Tools

K t = 0.06 + 0.3 \cdot f r

Go Feed for Sintered-Carbide Tools using Crater Depth

f r = \frac{K t - 0.06}{0.3}

Go Cutting Velocity using Taylor's Tool Life and Intercept

V' cut = \frac{X}{{T v}^{x}}

Go Taylor's Intercept given Cutting Velocity and Taylor's Tool Life

X = V' cut \cdot ({T v}^{x})

How to Evaluate Resultant Cutting Velocity?

Resultant Cutting Velocity evaluator uses Resultant Cutting Velocity = Cutting Velocity/cos((Cutting Speed Angle)) to evaluate the Resultant Cutting Velocity, Resultant Cutting Velocity is the resultant velocity from simultaneous Primary Tool Velocity and Feed Velocity, given to the Tool during Machining. Under ideal conditions, it is taken considered to be the same as Cutting Velocity. Resultant Cutting Velocity is denoted by V_r symbol.

How to evaluate Resultant Cutting Velocity using this online evaluator? To use this online evaluator for Resultant Cutting Velocity, enter Cutting Velocity (v_c) & Cutting Speed Angle (η) and hit the calculate button.

FAQs on Resultant Cutting Velocity

What is the formula to find Resultant Cutting Velocity?

The formula of Resultant Cutting Velocity is expressed as Resultant Cutting Velocity = Cutting Velocity/cos((Cutting Speed Angle)). Here is an example- 2.309401 = 2/cos((0.5235987755982)).

How to calculate Resultant Cutting Velocity?

With Cutting Velocity (v_c) & Cutting Speed Angle (η) we can find Resultant Cutting Velocity using the formula - Resultant Cutting Velocity = Cutting Velocity/cos((Cutting Speed Angle)). This formula also uses Cosine (cos) function(s).

Can the Resultant Cutting Velocity be negative?

No, the Resultant Cutting Velocity, measured in Speed cannot be negative.

Which unit is used to measure Resultant Cutting Velocity?

Resultant Cutting Velocity 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 Resultant Cutting Velocity can be measured.

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Resultant Cutting Velocity Formula

Resultant Cutting Velocity Example

Resultant Cutting Velocity Solution

Resultant Cutting Velocity Formula Elements

Other formulas in Cutting Velocity category

How to Evaluate Resultant Cutting Velocity?

FAQs on Resultant Cutting Velocity

Variable Name