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Axial Pitch in terms of helix angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
axial_pitch = Transverse Diametrical Pitch/tan(Helix Angle)
Pa = P/tan(α)
This formula uses 1 Functions, 2 Variables
Functions Used
tan - Trigonometric tangent function, tan(Angle)
Variables Used
Transverse Diametrical Pitch - Transverse Diametrical Pitch is defined as the pitch that is present on the plane of rotation (Measured in Millimeter)
Helix Angle - Helix Angle denotes the standard pitch circle unless otherwise specified. Application of the helix angle typically employs a magnitude ranging from 15° to 30° for helical gears, with 45° capping the safe operation limit. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Transverse Diametrical Pitch: 30 Millimeter --> 0.03 Meter (Check conversion here)
Helix Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pa = P/tan(α) --> 0.03/tan(0.5235987755982)
Evaluating ... ...
Pa = 0.0519615242270663
STEP 3: Convert Result to Output's Unit
0.0519615242270663 Meter -->51.9615242270663 Millimeter (Check conversion here)
FINAL ANSWER
51.9615242270663 Millimeter <-- Axial Pitch
(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

Axial Pitch in terms of helix angle Formula

axial_pitch = Transverse Diametrical Pitch/tan(Helix Angle)
Pa = P/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 Axial Pitch in terms of helix angle?

Axial Pitch in terms of helix angle calculator uses axial_pitch = Transverse Diametrical Pitch/tan(Helix Angle) to calculate the Axial Pitch, The Axial Pitch in terms of helix angle formula is defined as the axial advance of a helix or screw during one complete turn (360°) The lead for a screw thread is the axial travel for a single revolution. Axial Pitch and is denoted by Pa symbol.

How to calculate Axial Pitch in terms of helix angle using this online calculator? To use this online calculator for Axial Pitch in terms of helix angle, enter Transverse Diametrical Pitch (P) and Helix Angle (α) and hit the calculate button. Here is how the Axial Pitch in terms of helix angle calculation can be explained with given input values -> 51.96152 = 0.03/tan(0.5235987755982).

FAQ

What is Axial Pitch in terms of helix angle?
The Axial Pitch in terms of helix angle formula is defined as the axial advance of a helix or screw during one complete turn (360°) The lead for a screw thread is the axial travel for a single revolution and is represented as Pa = P/tan(α) or axial_pitch = Transverse Diametrical Pitch/tan(Helix Angle). Transverse Diametrical Pitch is defined as the pitch that is present on the plane of rotation and Helix Angle denotes the standard pitch circle unless otherwise specified. Application of the helix angle typically employs a magnitude ranging from 15° to 30° for helical gears, with 45° capping the safe operation limit.
How to calculate Axial Pitch in terms of helix angle?
The Axial Pitch in terms of helix angle formula is defined as the axial advance of a helix or screw during one complete turn (360°) The lead for a screw thread is the axial travel for a single revolution is calculated using axial_pitch = Transverse Diametrical Pitch/tan(Helix Angle). To calculate Axial Pitch in terms of helix angle, you need Transverse Diametrical Pitch (P) and Helix Angle (α). With our tool, you need to enter the respective value for Transverse Diametrical Pitch and Helix 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 Axial Pitch?
In this formula, Axial Pitch uses Transverse Diametrical Pitch and Helix 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 Axial Pitch in terms of helix angle calculator used?
Among many, Axial Pitch in terms of helix angle calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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