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Helix Angle in terms of both Actual and Virtual Number of Teeth Solution

STEP 0: Pre-Calculation Summary
Formula Used
helix_angle = (acos(Number of teeth/Virtual Number of Teeth))^(1/3)
α = (acos(z/z'))^(1/3)
This formula uses 2 Functions, 2 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
acos - Inverse trigonometric cosine function, acos(Number)
Variables Used
Number of teeth- The Number of teeth Value: Number of teeth
Virtual Number of Teeth- Virtual Number of Teeth is defined as the number of teeth that are present on the virtual gear.
STEP 1: Convert Input(s) to Base Unit
Number of teeth: 23 --> No Conversion Required
Virtual Number of Teeth: 24 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
α = (acos(z/z'))^(1/3) --> (acos(23/24))^(1/3)
Evaluating ... ...
α = 0.661672368855968
STEP 3: Convert Result to Output's Unit
0.661672368855968 Radian -->37.9110341558776 Degree (Check conversion here)
FINAL ANSWER
37.9110341558776 Degree <-- Helix Angle
(Calculation completed in 00.000 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 both Actual and Virtual Number of Teeth Formula

helix_angle = (acos(Number of teeth/Virtual Number of Teeth))^(1/3)
α = (acos(z/z'))^(1/3)

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 both Actual and Virtual Number of Teeth?

Helix Angle in terms of both Actual and Virtual Number of Teeth calculator uses helix_angle = (acos(Number of teeth/Virtual Number of Teeth))^(1/3) to calculate the Helix Angle, The Helix Angle in terms of both Actual and Virtual Number of Teeth 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 in terms of both Actual and Virtual Number of Teeth using this online calculator? To use this online calculator for Helix Angle in terms of both Actual and Virtual Number of Teeth, enter Number of teeth (z) and Virtual Number of Teeth (z') and hit the calculate button. Here is how the Helix Angle in terms of both Actual and Virtual Number of Teeth calculation can be explained with given input values -> 37.91103 = (acos(23/24))^(1/3).

FAQ

What is Helix Angle in terms of both Actual and Virtual Number of Teeth?
The Helix Angle in terms of both Actual and Virtual Number of Teeth 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(z/z'))^(1/3) or helix_angle = (acos(Number of teeth/Virtual Number of Teeth))^(1/3). The Number of teeth Value: Number of teeth and Virtual Number of Teeth is defined as the number of teeth that are present on the virtual gear.
How to calculate Helix Angle in terms of both Actual and Virtual Number of Teeth?
The Helix Angle in terms of both Actual and Virtual Number of Teeth 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(Number of teeth/Virtual Number of Teeth))^(1/3). To calculate Helix Angle in terms of both Actual and Virtual Number of Teeth, you need Number of teeth (z) and Virtual Number of Teeth (z'). With our tool, you need to enter the respective value for Number of teeth and Virtual Number of Teeth 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 Number of teeth and Virtual Number of Teeth. 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 both Actual and Virtual Number of Teeth calculator used?
Among many, Helix Angle in terms of both Actual and Virtual Number of Teeth calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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