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Tool Side Rake Angle using Angle Set from Axis B Formula

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The Side Rake Angle is an angle between the tool face and a line parallel to the base of the tool and measured in a plane perpendicular to the base at the side cutting edge. Check FAQs

α s = (a \cos (\frac{\tan (γ set)}{\tan (α t)}))

α_s - Side Rake Angle?γ_set - Angle Set from Axis b?α_t - Top Rake Angle?

Tool Side Rake Angle using Angle Set from Axis B Example

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Here is how the Tool Side Rake Angle using Angle Set from Axis B equation looks like with Values.

Here is how the Tool Side Rake Angle using Angle Set from Axis B equation looks like with Units.

Here is how the Tool Side Rake Angle using Angle Set from Axis B equation looks like.

10.2089 = (a \cos (\frac{\tan (10.83)}{\tan (11)}))

10.2089° = (a \cos (\frac{\tan (10.83°)}{\tan (11°)}))

10.2089 = (a \cos (\frac{\tan (10.83)}{\tan (11)}))

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Tool Side Rake Angle using Angle Set from Axis B Solution

Follow our step by step solution on how to calculate Tool Side Rake Angle using Angle Set from Axis B?

FIRST Step Consider the formula

α s = (a \cos (\frac{\tan (γ set)}{\tan (α t)}))

Next Step Substitute values of Variables

∴

α s = (a \cos (\frac{\tan (10.83°)}{\tan (11°)}))

Next Step Convert Units

∴

α s = (a \cos (\frac{\tan (0.189rad)}{\tan (0.192rad)}))

Next Step Prepare to Evaluate

∴

α s = (a \cos (\frac{\tan (0.189)}{\tan (0.192)}))

Next Step Evaluate

∴

α s = 0.178178587472198rad

Next Step Convert to Output's Unit

∴

α s = 10.2088810617614°

LAST Step Rounding Answer

∴

α s = 10.2089°

Tool Side Rake Angle using Angle Set from Axis B Formula Elements

Variables

Functions

Side Rake Angle

The Side Rake Angle is an angle between the tool face and a line parallel to the base of the tool and measured in a plane perpendicular to the base at the side cutting edge.

Symbol: α_s

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Side Rake Angle

Angle Set from Axis b

Angle Set from Axis b is defined as the angle set by the tool from axis b.

Symbol: γ_set

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle Set from Axis b

Top Rake Angle

The Top Rake Angle or Back Rake Angle is the angle between the face of the tool and a line parallel to the base of the tool and measured in a plane (perpendicular) through the side cutting edge.

Symbol: α_t

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Top Rake 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)

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(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 Metal Cutting Tools category

Go Orthogonal Rake Angle

α = \arctan ((\tan (α sr) \cdot \sin (λ)) + (\tan (α b) \cdot \cos (λ)))

Go Back Rake Angle

α b = a \tan ((\cos (λ) \cdot \tan (α)) + (\sin (λ) \cdot \tan (𝒊)))

Go Side Rake Angle

α sr = a \tan ((\sin (λ) \cdot \tan (α)) - (\cos (λ) \cdot \tan (𝒊)))

Go Inclination Angle

𝒊 = a \tan ((\tan (α b) \cdot \sin (λ)) - (\tan (α sr) \cdot \cos (λ)))

How to Evaluate Tool Side Rake Angle using Angle Set from Axis B?

Tool Side Rake Angle using Angle Set from Axis B evaluator uses Side Rake Angle = (acos(tan(Angle Set from Axis b)/tan(Top Rake Angle))) to evaluate the Side Rake Angle, The Tool Side Rake Angle using Angle Set from Axis B is the angle that measures the slope of the tool face from the cutting edge. Side Rake Angle is denoted by α_s symbol.

How to evaluate Tool Side Rake Angle using Angle Set from Axis B using this online evaluator? To use this online evaluator for Tool Side Rake Angle using Angle Set from Axis B, enter Angle Set from Axis b (γ_set) & Top Rake Angle (α_t) and hit the calculate button.

FAQs on Tool Side Rake Angle using Angle Set from Axis B

What is the formula to find Tool Side Rake Angle using Angle Set from Axis B?

The formula of Tool Side Rake Angle using Angle Set from Axis B is expressed as Side Rake Angle = (acos(tan(Angle Set from Axis b)/tan(Top Rake Angle))). Here is an example- 584.9258 = (acos(tan(0.18901915799095)/tan(0.19198621771934))).

How to calculate Tool Side Rake Angle using Angle Set from Axis B?

With Angle Set from Axis b (γ_set) & Top Rake Angle (α_t) we can find Tool Side Rake Angle using Angle Set from Axis B using the formula - Side Rake Angle = (acos(tan(Angle Set from Axis b)/tan(Top Rake Angle))). This formula also uses Cosine (cos)Tangent (tan), Inverse Cosine (acos) function(s).

Can the Tool Side Rake Angle using Angle Set from Axis B be negative?

No, the Tool Side Rake Angle using Angle Set from Axis B, measured in Angle cannot be negative.

Which unit is used to measure Tool Side Rake Angle using Angle Set from Axis B?

Tool Side Rake Angle using Angle Set from Axis B is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Tool Side Rake Angle using Angle Set from Axis B can be measured.

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Tool Side Rake Angle using Angle Set from Axis B Formula

Tool Side Rake Angle using Angle Set from Axis B Example

Tool Side Rake Angle using Angle Set from Axis B Solution

Tool Side Rake Angle using Angle Set from Axis B Formula Elements

Other formulas in Metal Cutting Tools category

How to Evaluate Tool Side Rake Angle using Angle Set from Axis B?

FAQs on Tool Side Rake Angle using Angle Set from Axis B

Variable Name