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Helix Angle in terms of Pressure Angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
helix_angle = acos(tan(Normal Pressure Angle)/tan(Transverse Pressure Angle))
α = acos(tan(αn)/tan(α))
This formula uses 3 Functions, 2 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
tan - Trigonometric tangent function, tan(Angle)
acos - Inverse trigonometric cosine function, acos(Number)
Variables Used
Normal Pressure Angle - Normal Pressure Angle is defined as the angle between the tooth face and the gear wheel tangent. (Measured in Degree)
Transverse Pressure Angle - Transverse Pressure Angle is defined as the angle of the projection of the load into the plane to the shaft axis. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Normal Pressure Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Transverse Pressure Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
α = acos(tan(αn)/tan(α)) --> acos(tan(0.5235987755982)/tan(0.5235987755982))
Evaluating ... ...
α = 0
STEP 3: Convert Result to Output's Unit
0 Radian -->0 Degree (Check conversion here)
FINAL ANSWER
0 Degree <-- Helix Angle
(Calculation completed in 00.016 seconds)

10+ Design of Helical Gears Calculators

Helix Angle When Normal Circular pitch is Given
helix_angle = acos(Transverse Diametrical Pitch/Circular pitch) Go
Transverse Diametrical Pitch When Normal Circular Pitch is Given
transverse_diametrical_pitch = Circular pitch*cos(Helix Angle) Go
Normal Circular Pitch of Helical Gear
circular_pitch = Transverse Diametrical Pitch/cos(Helix Angle) Go
Transverse Diametrical Pitch When Axial Pitch is Given
transverse_diametrical_pitch = Axial Pitch*tan(Helix Angle) Go
Axial Pitch in terms of helix angle
axial_pitch = Transverse Diametrical Pitch/tan(Helix Angle) Go
Helix Angle When Normal Module is Given
helix_angle = acos(Normal Module/Transverse Module) Go
Transverse Module When Normal Module is Given
transverse_module = Normal Module/cos(Helix Angle) Go
Normal Module
normal_module = Transverse Module*cos(Helix Angle) Go
Transverse Module When Transverse Diametrical Pitch is Given
transverse_module = 1/Transverse Diametrical Pitch Go
Transverse Diametrical Pitch in Terms of Transverse Module
transverse_diametrical_pitch = 1/Transverse Module Go

Helix Angle in terms of Pressure Angle Formula

helix_angle = acos(tan(Normal Pressure Angle)/tan(Transverse Pressure Angle))
α = acos(tan(αn)/tan(α))

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 Helix Angle in terms of Pressure Angle?

Helix Angle in terms of Pressure Angle calculator uses helix_angle = acos(tan(Normal Pressure Angle)/tan(Transverse Pressure Angle)) to calculate the Helix Angle, The Helix Angle in terms of Pressure Angle formula is defined as the angle between the axis of the shaft and the centre line of the tooth taken on the pitch plane. Helix Angle and is denoted by α symbol.

How to calculate Helix Angle in terms of Pressure Angle using this online calculator? To use this online calculator for Helix Angle in terms of Pressure Angle, enter Normal Pressure Angle n) and Transverse Pressure Angle (α) and hit the calculate button. Here is how the Helix Angle in terms of Pressure Angle calculation can be explained with given input values -> 0 = acos(tan(0.5235987755982)/tan(0.5235987755982)).

FAQ

What is Helix Angle in terms of Pressure Angle?
The Helix Angle in terms of Pressure Angle formula is defined as the angle between the axis of the shaft and the centre line of the tooth taken on the pitch plane and is represented as α = acos(tan(αn)/tan(α)) or helix_angle = acos(tan(Normal Pressure Angle)/tan(Transverse Pressure Angle)). Normal Pressure Angle is defined as the angle between the tooth face and the gear wheel tangent and Transverse Pressure Angle is defined as the angle of the projection of the load into the plane to the shaft axis.
How to calculate Helix Angle in terms of Pressure Angle?
The Helix Angle in terms of Pressure Angle formula is defined as the angle between the axis of the shaft and the centre line of the tooth taken on the pitch plane is calculated using helix_angle = acos(tan(Normal Pressure Angle)/tan(Transverse Pressure Angle)). To calculate Helix Angle in terms of Pressure Angle, you need Normal Pressure Angle n) and Transverse Pressure Angle (α). With our tool, you need to enter the respective value for Normal Pressure Angle and Transverse Pressure Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Helix Angle?
In this formula, Helix Angle uses Normal Pressure Angle and Transverse Pressure Angle. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • circular_pitch = Transverse Diametrical Pitch/cos(Helix Angle)
  • transverse_diametrical_pitch = Circular pitch*cos(Helix Angle)
  • helix_angle = acos(Transverse Diametrical Pitch/Circular pitch)
  • transverse_diametrical_pitch = 1/Transverse Module
  • transverse_module = 1/Transverse Diametrical Pitch
  • normal_module = Transverse Module*cos(Helix Angle)
  • transverse_module = Normal Module/cos(Helix Angle)
  • helix_angle = acos(Normal Module/Transverse Module)
  • axial_pitch = Transverse Diametrical Pitch/tan(Helix Angle)
  • transverse_diametrical_pitch = Axial Pitch*tan(Helix Angle)
Where is the Helix Angle in terms of Pressure Angle calculator used?
Among many, Helix Angle in terms of Pressure Angle calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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