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Helix Angle of Helical Gear given Pressure Angle Formula

GoHelix Angle of Helical Gear given Normal Circular Pitch Formula

GoHelix Angle of Helical Gear given Normal Module Formula

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

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

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

Helix Angle of Helical Gear given Pressure Angle Example

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

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

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

25.0751 = a \cos (\frac{\tan (20.1)}{\tan (22)})

25.0751° = a \cos (\frac{\tan (20.1°)}{\tan (22°)})

25.0751 = a \cos (\frac{\tan (20.1)}{\tan (22)})

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Helix Angle of Helical Gear given Pressure Angle Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ψ = a \cos (\frac{\tan (20.1°)}{\tan (22°)})

Next Step Convert Units

∴

ψ = a \cos (\frac{\tan (0.3508rad)}{\tan (0.384rad)})

Next Step Prepare to Evaluate

∴

ψ = a \cos (\frac{\tan (0.3508)}{\tan (0.384)})

Next Step Evaluate

∴

ψ = 0.437642816760259rad

Next Step Convert to Output's Unit

∴

ψ = 25.0750863345848°

LAST Step Rounding Answer

∴

ψ = 25.0751°

Helix Angle of Helical Gear given Pressure Angle Formula Elements

Variables

Functions

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

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

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

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 to find Helix Angle of Helical Gear

Go Helix Angle of Helical Gear given Normal Circular Pitch

ψ = a \cos (\frac{P N}{p})

Go Helix Angle of Helical Gear given Normal Module

ψ = a \cos (\frac{m n}{m})

Go Helix Angle of Helical Gear given Axial Pitch

ψ = a \tan (\frac{p}{p a})

Go Helix Angle of Helical Gear given Pitch Circle Diameter

ψ = a \cos (z \cdot \frac{m n}{d})

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 Transverse Diametrical Pitch of Helical Gear given Transverse Module

P = \frac{1}{m}

Go Axial Pitch of Helical Gear given Helix Angle

p a = \frac{p}{\tan (ψ)}

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

Helix Angle of Helical Gear given Pressure Angle evaluator uses Helix Angle of Helical Gear = acos(tan(Normal Pressure Angle of Helical Gear)/tan(Transverse Pressure Angle of Helical Gear)) to evaluate the Helix Angle of Helical Gear, Helix Angle of Helical Gear given Pressure Angle formula is defined as the angle between the axis of the shaft and the center line of the tooth taken on the pitch plane. Helix Angle of Helical Gear is denoted by ψ symbol.

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

FAQs on Helix Angle of Helical Gear given Pressure Angle

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

The formula of Helix Angle of Helical Gear given Pressure Angle is expressed as Helix Angle of Helical Gear = acos(tan(Normal Pressure Angle of Helical Gear)/tan(Transverse Pressure Angle of Helical Gear)). Here is an example- 1436.697 = acos(tan(0.350811179650794)/tan(0.38397243543868)).

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

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

What are the other ways to Calculate Helix Angle of Helical Gear?

Here are the different ways to Calculate Helix Angle of Helical Gear-

Helix Angle of Helical Gear=acos(Normal Circular Pitch of Helical Gear/Pitch of Helical Gear)
Helix Angle of Helical Gear=acos(Normal Module of Helical Gear/Transverse Module of Helical Gear)
Helix Angle of Helical Gear=atan(Pitch of Helical Gear/Axial Pitch of Helical Gear)

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

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

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

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

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Helix Angle of Helical Gear given Pressure Angle Formula

​GoHelix Angle of Helical Gear given Normal Circular Pitch Formula

​GoHelix Angle of Helical Gear given Normal Module Formula

Helix Angle of Helical Gear given Pressure Angle Example

Helix Angle of Helical Gear given Pressure Angle Solution

Helix Angle of Helical Gear given Pressure Angle Formula Elements

Other Formulas to find Helix Angle of Helical Gear

Other formulas in Helix Geometry category

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

FAQs on Helix Angle of Helical Gear given Pressure Angle

Variable Name

GoHelix Angle of Helical Gear given Normal Circular Pitch Formula

GoHelix Angle of Helical Gear given Normal Module Formula