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Transverse Pressure Angle of Helical Gear given Helix Angle Formula

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The Transverse Pressure Angle of Helical Gear is defined as the pressure angle for the gear measured in the plane of rotation. Check FAQs

α = a \tan (\frac{\tan (α n)}{\cos (ψ)})

α - Transverse Pressure Angle of Helical Gear?α_n - Normal Pressure Angle of Helical Gear?ψ - Helix Angle of Helical Gear?

Transverse Pressure Angle of Helical Gear given Helix Angle Example

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Here is how the Transverse Pressure Angle of Helical Gear given Helix Angle equation looks like with Values.

Here is how the Transverse Pressure Angle of Helical Gear given Helix Angle equation looks like with Units.

Here is how the Transverse Pressure Angle of Helical Gear given Helix Angle equation looks like.

21.9878 = a \tan (\frac{\tan (20.1)}{\cos (25)})

21.9878° = a \tan (\frac{\tan (20.1°)}{\cos (25°)})

21.9878 = a \tan (\frac{\tan (20.1)}{\cos (25)})

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Transverse Pressure Angle of Helical Gear given Helix Angle Solution

Follow our step by step solution on how to calculate Transverse Pressure Angle of Helical Gear given Helix Angle?

FIRST Step Consider the formula

α = a \tan (\frac{\tan (α n)}{\cos (ψ)})

Next Step Substitute values of Variables

∴

α = a \tan (\frac{\tan (20.1°)}{\cos (25°)})

Next Step Convert Units

∴

α = a \tan (\frac{\tan (0.3508rad)}{\cos (0.4363rad)})

Next Step Prepare to Evaluate

∴

α = a \tan (\frac{\tan (0.3508)}{\cos (0.4363)})

Next Step Evaluate

∴

α = 0.383759866843445rad

Next Step Convert to Output's Unit

∴

α = 21.987820716636°

LAST Step Rounding Answer

∴

α = 21.9878°

Transverse Pressure Angle of Helical Gear given Helix Angle Formula Elements

Variables

Functions

Transverse Pressure Angle of Helical Gear

The Transverse Pressure Angle of Helical Gear is defined as the pressure angle for the gear measured in the plane of rotation.

Symbol: α

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Transverse Pressure Angle of Helical Gear

Normal Pressure Angle of Helical Gear

The Normal Pressure Angle of Helical Gear is defined as the angle between the tooth face and the gear wheel tangent.

Symbol: α_n

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Normal Pressure Angle of Helical Gear

Helix Angle of Helical Gear

Helix Angle of Helical Gear is the angle between any helical gear and an axial line on its right, circular cylinder, or cone.

Symbol: ψ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Helix Angle of Helical Gear

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)

atan

Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle.

Syntax: atan(Number)

Other formulas in Helix Geometry category

Go Normal Circular Pitch of Helical Gear

P N = p \cdot \cos (ψ)

Go Pitch of Helical Gear given Normal Circular Pitch

p = \frac{P N}{\cos (ψ)}

Go Helix Angle of Helical Gear given Normal Circular Pitch

ψ = a \cos (\frac{P N}{p})

Go Transverse Diametrical Pitch of Helical Gear given Transverse Module

P = \frac{1}{m}

How to Evaluate Transverse Pressure Angle of Helical Gear given Helix Angle?

Transverse Pressure Angle of Helical Gear given Helix Angle evaluator uses Transverse Pressure Angle of Helical Gear = atan(tan(Normal Pressure Angle of Helical Gear)/cos(Helix Angle of Helical Gear)) to evaluate the Transverse Pressure Angle of Helical Gear, Transverse Pressure Angle of Helical Gear given Helix Angle formula is Moderation: FormulaName and def Updated!a module of the gear measured in the plane of rotation. It is the same as in the case of Spur gear. Transverse Pressure Angle of Helical Gear is denoted by α symbol.

How to evaluate Transverse Pressure Angle of Helical Gear given Helix Angle using this online evaluator? To use this online evaluator for Transverse Pressure Angle of Helical Gear given Helix Angle, enter Normal Pressure Angle of Helical Gear (α_n) & Helix Angle of Helical Gear (ψ) and hit the calculate button.

FAQs on Transverse Pressure Angle of Helical Gear given Helix Angle

What is the formula to find Transverse Pressure Angle of Helical Gear given Helix Angle?

The formula of Transverse Pressure Angle of Helical Gear given Helix Angle is expressed as Transverse Pressure Angle of Helical Gear = atan(tan(Normal Pressure Angle of Helical Gear)/cos(Helix Angle of Helical Gear)). Here is an example- 1259.809 = atan(tan(0.350811179650794)/cos(0.4363323129985)).

How to calculate Transverse Pressure Angle of Helical Gear given Helix Angle?

With Normal Pressure Angle of Helical Gear (α_n) & Helix Angle of Helical Gear (ψ) we can find Transverse Pressure Angle of Helical Gear given Helix Angle using the formula - Transverse Pressure Angle of Helical Gear = atan(tan(Normal Pressure Angle of Helical Gear)/cos(Helix Angle of Helical Gear)). This formula also uses Cosine (cos)Tangent (tan), Inverse Tan (atan) function(s).

Can the Transverse Pressure Angle of Helical Gear given Helix Angle be negative?

No, the Transverse Pressure Angle of Helical Gear given Helix Angle, measured in Angle cannot be negative.

Which unit is used to measure Transverse Pressure Angle of Helical Gear given Helix Angle?

Transverse Pressure Angle of Helical Gear given Helix Angle is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Transverse Pressure Angle of Helical Gear given Helix Angle can be measured.

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Transverse Pressure Angle of Helical Gear given Helix Angle Formula

Transverse Pressure Angle of Helical Gear given Helix Angle Example

Transverse Pressure Angle of Helical Gear given Helix Angle Solution

Transverse Pressure Angle of Helical Gear given Helix Angle Formula Elements

Other formulas in Helix Geometry category

How to Evaluate Transverse Pressure Angle of Helical Gear given Helix Angle?

FAQs on Transverse Pressure Angle of Helical Gear given Helix Angle

Variable Name