Normal Pressure Angle of Helical Gear given Helix Angle Calculator

✖The Transverse Pressure Angle of Helical Gear is defined as the pressure angle for the gear measured in the plane of rotation.ⓘ Transverse Pressure Angle of Helical Gear [α]			+10% -10%
✖Helix Angle of Helical Gear is the angle between any helical gear and an axial line on its right, circular cylinder, or cone.ⓘ Helix Angle of Helical Gear [ψ]			+10% -10%

✖The Normal Pressure Angle of Helical Gear is defined as the angle between the tooth face and the gear wheel tangent.ⓘ Normal Pressure Angle of Helical Gear given Helix Angle [α_n]

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Normal Pressure Angle of Helical Gear given Helix Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Normal Pressure Angle of Helical Gear = atan(tan(Transverse Pressure Angle of Helical Gear)*cos(Helix Angle of Helical Gear))
α_n = atan(tan(α)*cos(ψ))
This formula uses 3 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., 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., 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., atan(Number)

Variables Used

Normal Pressure Angle of Helical Gear - (Measured in Radian) - The Normal Pressure Angle of Helical Gear is defined as the angle between the tooth face and the gear wheel tangent.
Transverse Pressure Angle of Helical Gear - (Measured in Radian) - The Transverse Pressure Angle of Helical Gear is defined as the pressure angle for the gear measured in the plane of rotation.
Helix Angle of Helical Gear - (Measured in Radian) - Helix Angle of Helical Gear is the angle between any helical gear and an axial line on its right, circular cylinder, or cone.

STEP 1: Convert Input(s) to Base Unit

Transverse Pressure Angle of Helical Gear: 22 Degree --> 0.38397243543868 Radian (Check conversion here)
Helix Angle of Helical Gear: 25 Degree --> 0.4363323129985 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α_n = atan(tan(α)*cos(ψ)) --> atan(tan(0.38397243543868)*cos(0.4363323129985))

Evaluating ... ...

α_n = 0.351008782296775

STEP 3: Convert Result to Output's Unit

0.351008782296775 Radian -->20.1113217976353 Degree (Check conversion here)

FINAL ANSWER

20.1113217976353 ≈ 20.11132 Degree <-- Normal Pressure Angle of Helical Gear

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Gears » Design of Helical Gears » Mechanical » Helix Geometry » Normal Pressure Angle of Helical Gear given Helix Angle

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Helix Geometry Calculators

Helix Angle of Helical Gear given Normal Circular Pitch

LaTeX Go Helix Angle of Helical Gear = acos(Normal Circular Pitch of Helical Gear/Pitch of Helical Gear)

Pitch of Helical Gear given Normal Circular Pitch

LaTeX Go Pitch of Helical Gear = Normal Circular Pitch of Helical Gear/cos(Helix Angle of Helical Gear)

Normal Circular Pitch of Helical Gear

LaTeX Go Normal Circular Pitch of Helical Gear = Pitch of Helical Gear*cos(Helix Angle of Helical Gear)

Transverse Diametrical Pitch of Helical Gear given Transverse Module

LaTeX Go Transverse Diametrical Pitch of Helical Gear = 1/Transverse Module of Helical Gear

Normal Pressure Angle of Helical Gear given Helix Angle Formula

LaTeX Go

Normal Pressure Angle of Helical Gear = atan(tan(Transverse Pressure Angle of Helical Gear)*cos(Helix Angle of Helical Gear))
α_n = atan(tan(α)*cos(ψ))

Define Helical Gears

A helical gear has a cylindrical pitch surface and teeth that follow a helix on the pitch cylinder. External helical gears have teeth that project outwards, whereas internal helical gears have teeth that project inwards.

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

Normal Pressure Angle of Helical Gear given Helix Angle calculator uses Normal Pressure Angle of Helical Gear = atan(tan(Transverse Pressure Angle of Helical Gear)*cos(Helix Angle of Helical Gear)) to calculate 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 calculate Normal Pressure Angle of Helical Gear given Helix Angle using this online calculator? To use this online calculator 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. Here is how the Normal Pressure Angle of Helical Gear given Helix Angle calculation can be explained with given input values -> 1152.294 = atan(tan(0.38397243543868)*cos(0.4363323129985)).

FAQ

What is Normal Pressure Angle of Helical Gear given Helix Angle?

Normal Pressure Angle of Helical Gear given Helix Angle formula is defined as the angle between the tooth face and the gear wheel tangent and is represented as α_n = atan(tan(α)*cos(ψ)) or Normal Pressure Angle of Helical Gear = atan(tan(Transverse Pressure Angle of Helical Gear)*cos(Helix 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 & Helix Angle of Helical Gear is the angle between any helical gear and an axial line on its right, circular cylinder, or cone.

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

Normal Pressure Angle of Helical Gear given Helix Angle formula is defined as the angle between the tooth face and the gear wheel tangent is calculated using Normal Pressure Angle of Helical Gear = atan(tan(Transverse Pressure Angle of Helical Gear)*cos(Helix Angle of Helical Gear)). To calculate Normal Pressure Angle of Helical Gear given Helix Angle, you need Transverse Pressure Angle of Helical Gear (α) & Helix Angle of Helical Gear (ψ). With our tool, you need to enter the respective value for Transverse Pressure Angle of Helical Gear & Helix Angle of Helical Gear and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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