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Helix Angle When Axial Pitch is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
helix_angle = atan(Transverse Diametrical Pitch/Axial Pitch)
α = atan(P/Pa)
This formula uses 2 Functions, 2 Variables
Functions Used
tan - Trigonometric tangent function, tan(Angle)
atan - Inverse trigonometric tangent function, atan(Number)
Variables Used
Transverse Diametrical Pitch - Transverse Diametrical Pitch is defined as the pitch that is present on the plane of rotation (Measured in Millimeter)
Axial Pitch - Axial Pitch 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. (Measured in Millimeter)
STEP 1: Convert Input(s) to Base Unit
Transverse Diametrical Pitch: 30 Millimeter --> 0.03 Meter (Check conversion here)
Axial Pitch: 30 Millimeter --> 0.03 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
α = atan(P/Pa) --> atan(0.03/0.03)
Evaluating ... ...
α = 0.785398163397448
STEP 3: Convert Result to Output's Unit
0.785398163397448 Radian -->45.0000000000085 Degree (Check conversion here)
FINAL ANSWER
45.0000000000085 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 When Axial Pitch is Given Formula

helix_angle = atan(Transverse Diametrical Pitch/Axial Pitch)
α = atan(P/Pa)

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 When Axial Pitch is Given?

Helix Angle When Axial Pitch is Given calculator uses helix_angle = atan(Transverse Diametrical Pitch/Axial Pitch) to calculate the Helix Angle, The Helix Angle When Axial Pitch is Given formula is defined 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 When Axial Pitch is Given using this online calculator? To use this online calculator for Helix Angle When Axial Pitch is Given, enter Transverse Diametrical Pitch (P) and Axial Pitch (Pa) and hit the calculate button. Here is how the Helix Angle When Axial Pitch is Given calculation can be explained with given input values -> 45 = atan(0.03/0.03).

FAQ

What is Helix Angle When Axial Pitch is Given?
The Helix Angle When Axial Pitch is Given formula is defined 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 = atan(P/Pa) or helix_angle = atan(Transverse Diametrical Pitch/Axial Pitch). Transverse Diametrical Pitch is defined as the pitch that is present on the plane of rotation and Axial Pitch 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.
How to calculate Helix Angle When Axial Pitch is Given?
The Helix Angle When Axial Pitch is Given formula is defined 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 = atan(Transverse Diametrical Pitch/Axial Pitch). To calculate Helix Angle When Axial Pitch is Given, you need Transverse Diametrical Pitch (P) and Axial Pitch (Pa). With our tool, you need to enter the respective value for Transverse Diametrical Pitch and Axial Pitch 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 Transverse Diametrical Pitch and Axial Pitch. 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 When Axial Pitch is Given calculator used?
Among many, Helix Angle When Axial Pitch is Given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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