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Cutting Speed Angle using Resultant Cutting Speed Formula

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Resultant Cutting Speed Angle is the angle between cutting tool primary motion vector and resultant cutting motion vector. For most of the practical operations this parameter is very small. Check FAQs

η = a \cos (\frac{v}{v e})

η - Resultant Cutting Speed Angle?v - Cutting Velocity?v_e - Resultant Cutting Velocity?

Cutting Speed Angle using Resultant Cutting Speed Example

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Here is how the Cutting Speed Angle using Resultant Cutting Speed equation looks like with Values.

Here is how the Cutting Speed Angle using Resultant Cutting Speed equation looks like with Units.

Here is how the Cutting Speed Angle using Resultant Cutting Speed equation looks like.

1.4536 = a \cos (\frac{4.3489}{4.3503})

1.4536° = a \cos (\frac{4.3489m/s}{4.3503m/s})

1.4536 = a \cos (\frac{4.3489}{4.3503})

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Cutting Speed Angle using Resultant Cutting Speed Solution

Follow our step by step solution on how to calculate Cutting Speed Angle using Resultant Cutting Speed?

FIRST Step Consider the formula

η = a \cos (\frac{v}{v e})

Next Step Substitute values of Variables

∴

η = a \cos (\frac{4.3489m/s}{4.3503m/s})

Next Step Prepare to Evaluate

∴

η = a \cos (\frac{4.3489}{4.3503})

Next Step Evaluate

∴

η = 0.025370618782012rad

Next Step Convert to Output's Unit

∴

η = 1.4536293798449°

LAST Step Rounding Answer

∴

η = 1.4536°

Cutting Speed Angle using Resultant Cutting Speed Formula Elements

Variables

Functions

Resultant Cutting Speed Angle

Resultant Cutting Speed Angle is the angle between cutting tool primary motion vector and resultant cutting motion vector. For most of the practical operations this parameter is very small.

Symbol: η

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Resultant Cutting Speed Angle

Cutting Velocity

The Cutting Velocity refers to the speed of the material being removed at the point of contact between the cutting tool and the workpiece.

Symbol: v

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Cutting Velocity

Resultant Cutting Velocity

Resultant Cutting Velocity is the instantaneous velocity of the resultant cutting motion of the selected point on the cutting edge relative to the workpiece.

Symbol: v_e

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Resultant Cutting Velocity

cos

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

Syntax: cos(Angle)

acos

The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio.

Syntax: acos(Number)

Other formulas in Cutting Operation category

Go Cross sectional Area of Uncut Chip

A c = F \cdot D c

Go Mean Cutting Speed

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

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 Cutting Speed Angle using Resultant Cutting Speed?

Cutting Speed Angle using Resultant Cutting Speed evaluator uses Resultant Cutting Speed Angle = acos(Cutting Velocity/Resultant Cutting Velocity) to evaluate the Resultant Cutting Speed Angle, Cutting Speed Angle using Resultant Cutting Speed calculates the angle between Tool primary motion vector and Resultant cutting motion vector. For most the practical operations this angle is very small, therefore negligible. Resultant Cutting Speed Angle is denoted by η symbol.

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

FAQs on Cutting Speed Angle using Resultant Cutting Speed

What is the formula to find Cutting Speed Angle using Resultant Cutting Speed?

The formula of Cutting Speed Angle using Resultant Cutting Speed is expressed as Resultant Cutting Speed Angle = acos(Cutting Velocity/Resultant Cutting Velocity). Here is an example- 4367.813 = acos(4.3489/4.3503).

How to calculate Cutting Speed Angle using Resultant Cutting Speed?

With Cutting Velocity (v) & Resultant Cutting Velocity (v_e) we can find Cutting Speed Angle using Resultant Cutting Speed using the formula - Resultant Cutting Speed Angle = acos(Cutting Velocity/Resultant Cutting Velocity). This formula also uses Cosine (cos), Inverse Cosine (acos) function(s).

Can the Cutting Speed Angle using Resultant Cutting Speed be negative?

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

Which unit is used to measure Cutting Speed Angle using Resultant Cutting Speed?

Cutting Speed Angle using Resultant Cutting Speed is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Cutting Speed Angle using Resultant Cutting Speed can be measured.

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Cutting Speed Angle using Resultant Cutting Speed Formula

Cutting Speed Angle using Resultant Cutting Speed Example

Cutting Speed Angle using Resultant Cutting Speed Solution

Cutting Speed Angle using Resultant Cutting Speed Formula Elements

Other formulas in Cutting Operation category

How to Evaluate Cutting Speed Angle using Resultant Cutting Speed?

FAQs on Cutting Speed Angle using Resultant Cutting Speed

Variable Name