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Helix Angle When Normal Module is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
helix_angle = acos(Normal Module/Transverse Module)
α = acos(mn/m)
This formula uses 2 Functions, 2 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
acos - Inverse trigonometric cosine function, acos(Number)
Variables Used
Normal Module - Normal Module is deifined as the unit of size that indicates how big or small a gear is. It is the ratio of the reference diameter of the gear divided by the number of teeth. (Measured in Millimeter)
Transverse Module - Transverse Module is the module of the gear measured in the plane of rotation. (Measured in Millimeter)
STEP 1: Convert Input(s) to Base Unit
Normal Module: 0.001 Millimeter --> 1E-06 Meter (Check conversion here)
Transverse Module: 40 Millimeter --> 0.04 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
α = acos(mn/m) --> acos(1E-06/0.04)
Evaluating ... ...
α = 1.57077132679489
STEP 3: Convert Result to Output's Unit
1.57077132679489 Radian -->89.9985676055289 Degree (Check conversion here)
FINAL ANSWER
89.9985676055289 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 Normal Module is Given Formula

helix_angle = acos(Normal Module/Transverse Module)
α = acos(mn/m)

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 Normal Module is Given?

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

How to calculate Helix Angle When Normal Module is Given using this online calculator? To use this online calculator for Helix Angle When Normal Module is Given, enter Normal Module (mn) and Transverse Module (m) and hit the calculate button. Here is how the Helix Angle When Normal Module is Given calculation can be explained with given input values -> 89.99857 = acos(1E-06/0.04).

FAQ

What is Helix Angle When Normal Module is Given?
The Helix Angle When Normal Module is Given formula is defined as the angle between the axis of the shaft and the center line of the tooth taken on the pitch plane and is represented as α = acos(mn/m) or helix_angle = acos(Normal Module/Transverse Module). Normal Module is deifined as the unit of size that indicates how big or small a gear is. It is the ratio of the reference diameter of the gear divided by the number of teeth and Transverse Module is the module of the gear measured in the plane of rotation.
How to calculate Helix Angle When Normal Module is Given?
The Helix Angle When Normal Module is Given formula is defined as the angle between the axis of the shaft and the center line of the tooth taken on the pitch plane is calculated using helix_angle = acos(Normal Module/Transverse Module). To calculate Helix Angle When Normal Module is Given, you need Normal Module (mn) and Transverse Module (m). With our tool, you need to enter the respective value for Normal Module and Transverse Module 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 Module and Transverse Module. 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 Normal Module is Given calculator used?
Among many, Helix Angle When Normal Module is Given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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