Transverse Pressure Angle of Helical Gear given Helix Angle Calculator

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Design of Gears

Basics Of Machine Design

Design of Coupling

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Design of Helical Gears

Design of Bevel Gears

Design of Spur Gears

Design of Worm Gears

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Helix Geometry

Core Design Parameters

✖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 [α_n]			+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 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 given Helix Angle [α]

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Formula

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Transverse Pressure Angle of Helical Gear given Helix Angle

Formula

`"α" = atan(tan("α"_{"n"})/cos("ψ"))`

Example

`"21.98782°"=atan(tan("20.1°")/cos("25°"))`

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Transverse Pressure Angle of Helical Gear given Helix Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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

Normal Pressure Angle of Helical Gear: 20.1 Degree --> 0.350811179650794 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 = atan(tan(α_n)/cos(ψ)) --> atan(tan(0.350811179650794)/cos(0.4363323129985))

Evaluating ... ...

α = 0.383759866843445

STEP 3: Convert Result to Output's Unit

0.383759866843445 Radian -->21.987820716636 Degree (Check conversion here)

FINAL ANSWER

21.987820716636 ≈ 21.98782 Degree <-- Transverse 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 » Helix Geometry » Transverse Pressure Angle of Helical Gear given Helix Angle

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< 25 Helix Geometry Calculators

Helix Angle of Helical Gear given Center to Center Distance between Two Gears

Go Helix Angle of Helical Gear = acos(Normal Module of Helical Gear*(Number of Teeth on 1st Helical Gear+Number of Teeth on 2nd Helical Gear)/(2*Center to Center Distance of Helical Gears))

Helix Angle of Helical Gear given Virtual Number of Teeth

Go Helix Angle of Helical Gear = acos((Diameter of Pitch Circle of Helical Gear/(Normal Module of Helical Gear*Virtual Number of Teeth on Helical Gear))^(1/2))

Transverse Pressure Angle of Helical Gear given Helix Angle

Go Transverse Pressure Angle of Helical Gear = atan(tan(Normal Pressure Angle of Helical Gear)/cos(Helix Angle of Helical Gear))

Normal Pressure Angle of Helical Gear given Helix Angle

Go Normal Pressure Angle of Helical Gear = atan(tan(Transverse Pressure Angle of Helical Gear)*cos(Helix Angle of Helical Gear))

Helix Angle of Helical Gear given Pressure Angle

Go Helix Angle of Helical Gear = acos(tan(Normal Pressure Angle of Helical Gear)/tan(Transverse Pressure Angle of Helical Gear))

Pitch Circular Diameter of Gear given Virtual Number of Teeth

Go Diameter of Pitch Circle of Helical Gear = Normal Module of Helical Gear*Virtual Number of Teeth on Helical Gear*(cos(Helix Angle of Helical Gear)^2)

Helix Angle of Helical Gear given Pitch Circle Diameter

Go Helix Angle of Helical Gear = acos(Number of Teeth on Helical Gear*Normal Module of Helical Gear/Diameter of Pitch Circle of Helical Gear)

Helix Angle of Helical Gear given Radius of Curvature at Point

Go Helix Angle of Helical Gear = sqrt(acos(Diameter of Pitch Circle of Helical Gear/(2*Radius of Curvature of Helical Gear)))

Radius of Curvature of Virtual Gear given Virtual Number of Teeth

Go Virtual Pitch Circle Radius for Helical Gear = Virtual Number of Teeth on Helical Gear*Normal Circular Pitch of Helical Gear/(2*pi)

Normal Circular Pitch of Helical Gear given Virtual Number of Teeth

Go Normal Circular Pitch of Helical Gear = 2*pi*Virtual Pitch Circle Radius for Helical Gear/Virtual Number of Teeth on Helical Gear

Semi Major Axis of Elliptical Profile given Radius of Curvature at Point

Go Semi Major Axis of Helical Gear Teeth = sqrt(Radius of Curvature of Helical Gear*Semi Minor Axis of Helical Gear Teeth)

Radius of Curvature at Point on Virtual Gear

Go Radius of Curvature of Helical Gear = Diameter of Pitch Circle of Helical Gear/(2*(cos(Helix Angle of Helical Gear))^2)

Pitch Circular Diameter of Gear given Virtual Gear

Go Diameter of Pitch Circle of Helical Gear = 2*Radius of Curvature of Helical Gear*(cos(Helix Angle of Helical Gear))^2

Helix Angle of Helical Gear given Normal Module

Go Helix Angle of Helical Gear = acos(Normal Module of Helical Gear/Transverse Module of Helical Gear)

Helix Angle of Helical Gear given Normal Circular Pitch

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

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

Normal Circular Pitch of Helical Gear

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

Semi Minor Axis of Elliptical Profile given Radius of Curvature at Point

Go Semi Minor Axis of Helical Gear Teeth = Semi Major Axis of Helical Gear Teeth^2/Radius of Curvature of Helical Gear

Helix Angle of Helical Gear given Axial Pitch

Go Helix Angle of Helical Gear = atan(Pitch of Helical Gear/Axial Pitch of Helical Gear)

Radius of Curvature at Point on Helical Gear

Go Radius of Curvature of Helical Gear = Semi Major Axis of Helical Gear Teeth^2/Semi Minor Axis of Helical Gear Teeth

Axial Pitch of Helical Gear given Helix Angle

Go Axial Pitch of Helical Gear = Pitch of Helical Gear/tan(Helix Angle of Helical Gear)

Pitch of Helical Gear given Axial Pitch

Go Pitch of Helical Gear = Axial Pitch of Helical Gear*tan(Helix Angle of Helical Gear)

Radius of Curvature of Virtual Gear given Pitch Circular Diameter

Go Radius of Curvature of Helical Gear = Pitch Circular Diameter of Helical Virtual Gear/2

Pitch Circular Diameter of Gear given Radius of Curvature

Go Pitch Circular Diameter of Helical Virtual Gear = 2*Radius of Curvature of Helical Gear

Transverse Diametrical Pitch of Helical Gear given Transverse Module

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

Transverse Pressure Angle of Helical Gear given Helix Angle Formula

Transverse Pressure Angle of Helical Gear = atan(tan(Normal Pressure Angle of Helical Gear)/cos(Helix Angle of Helical Gear))
α = atan(tan(α_n)/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 Transverse Pressure Angle of Helical Gear given Helix Angle?

Transverse Pressure Angle of Helical Gear given Helix Angle calculator uses Transverse Pressure Angle of Helical Gear = atan(tan(Normal Pressure Angle of Helical Gear)/cos(Helix Angle of Helical Gear)) to calculate 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 calculate Transverse Pressure Angle of Helical Gear given Helix Angle using this online calculator? To use this online calculator 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. Here is how the Transverse Pressure Angle of Helical Gear given Helix Angle calculation can be explained with given input values -> 1259.809 = atan(tan(0.350811179650794)/cos(0.4363323129985)).

FAQ

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

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 and is represented as α = atan(tan(α_n)/cos(ψ)) or Transverse Pressure Angle of Helical Gear = atan(tan(Normal Pressure Angle of Helical Gear)/cos(Helix 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 & 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 Transverse Pressure Angle of Helical Gear given Helix Angle?

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 is calculated using Transverse Pressure Angle of Helical Gear = atan(tan(Normal Pressure Angle of Helical Gear)/cos(Helix Angle of Helical Gear)). To calculate Transverse Pressure Angle of Helical Gear given Helix Angle, you need Normal Pressure Angle of Helical Gear (α_n) & Helix Angle of Helical Gear (ψ). With our tool, you need to enter the respective value for Normal 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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