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Normal Pressure Angle of Helical Gear given Helix Angle Formula

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

α n = a \tan (\tan (α) \cdot \cos (ψ))

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

Normal Pressure Angle of Helical Gear given Helix Angle Example

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

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

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

20.1113 = a \tan (\tan (22) \cdot \cos (25))

20.1113° = a \tan (\tan (22°) \cdot \cos (25°))

20.1113 = a \tan (\tan (22) \cdot \cos (25))

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Normal Pressure Angle of Helical Gear given Helix Angle Solution

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

FIRST Step Consider the formula

α n = a \tan (\tan (α) \cdot \cos (ψ))

Next Step Substitute values of Variables

∴

α n = a \tan (\tan (22°) \cdot \cos (25°))

Next Step Convert Units

∴

α n = a \tan (\tan (0.384rad) \cdot \cos (0.4363rad))

Next Step Prepare to Evaluate

∴

α n = a \tan (\tan (0.384) \cdot \cos (0.4363))

Next Step Evaluate

∴

α n = 0.351008782296775rad

Next Step Convert to Output's Unit

∴

α n = 20.1113217976353°

LAST Step Rounding Answer

∴

α n = 20.1113°

Normal Pressure Angle of Helical Gear given Helix Angle Formula Elements

Variables

Functions

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

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 Normal Pressure Angle of Helical Gear given Helix Angle?

Normal Pressure Angle of Helical Gear given Helix Angle evaluator uses Normal Pressure Angle of Helical Gear = atan(tan(Transverse Pressure Angle of Helical Gear)*cos(Helix Angle of Helical Gear)) to evaluate the Normal Pressure Angle of Helical Gear, Normal Pressure Angle of Helical Gear given Helix Angle formula is defined as the angle between the tooth face and the gear wheel tangent. Normal Pressure Angle of Helical Gear is denoted by α_n symbol.

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

FAQs on Normal Pressure Angle of Helical Gear given Helix Angle

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

The formula of Normal Pressure Angle of Helical Gear given Helix Angle is expressed as Normal Pressure Angle of Helical Gear = atan(tan(Transverse Pressure Angle of Helical Gear)*cos(Helix Angle of Helical Gear)). Here is an example- 1152.294 = atan(tan(0.38397243543868)*cos(0.4363323129985)).

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

With Transverse Pressure Angle of Helical Gear (α) & Helix Angle of Helical Gear (ψ) we can find Normal Pressure Angle of Helical Gear given Helix Angle using the formula - Normal Pressure Angle of Helical Gear = atan(tan(Transverse 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 Normal Pressure Angle of Helical Gear given Helix Angle be negative?

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

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

Normal 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 Normal Pressure Angle of Helical Gear given Helix Angle can be measured.

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Normal Pressure Angle of Helical Gear given Helix Angle Formula

Normal Pressure Angle of Helical Gear given Helix Angle Example

Normal Pressure Angle of Helical Gear given Helix Angle Solution

Normal Pressure Angle of Helical Gear given Helix Angle Formula Elements

Other formulas in Helix Geometry category

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

FAQs on Normal Pressure Angle of Helical Gear given Helix Angle

Variable Name