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## Credits

Osmania University (OU), Hyderabad
Kethavath Srinath has created this Calculator and 500+ more calculators!
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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## Helix Angle When Virtual Number of Teeth is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
helix_angle = acos(sqrt(Pitch Circle Diameter/(Normal Module*Virtual Number of Teeth)))
α = acos(sqrt(D/(mn*z')))
This formula uses 3 Functions, 3 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
acos - Inverse trigonometric cosine function, acos(Number)
sqrt - Squre root function, sqrt(Number)
Variables Used
Pitch Circle Diameter - Pitch Circle Diameter is the diameter of the pitch circle. (Measured in Millimeter)
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)
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
Pitch Circle Diameter: 0.001 Millimeter --> 1E-06 Meter (Check conversion here)
Normal Module: 0.001 Millimeter --> 1E-06 Meter (Check conversion here)
Virtual Number of Teeth: 24 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
α = acos(sqrt(D/(mn*z'))) --> acos(sqrt(1E-06/(1E-06*24)))
Evaluating ... ...
α = 1.36522739563372
STEP 3: Convert Result to Output's Unit
1.36522739563372 Radian -->78.2217678454641 Degree (Check conversion here)
FINAL ANSWER
78.2217678454641 Degree <-- Helix Angle
(Calculation completed in 00.031 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 Virtual Number of Teeth is Given Formula

helix_angle = acos(sqrt(Pitch Circle Diameter/(Normal Module*Virtual Number of Teeth)))
α = acos(sqrt(D/(mn*z')))

## 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 Virtual Number of Teeth is Given?

Helix Angle When Virtual Number of Teeth is Given calculator uses helix_angle = acos(sqrt(Pitch Circle Diameter/(Normal Module*Virtual Number of Teeth))) to calculate the Helix Angle, The Helix Angle When Virtual Number of Teeth is Given 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 When Virtual Number of Teeth is Given using this online calculator? To use this online calculator for Helix Angle When Virtual Number of Teeth is Given, enter Pitch Circle Diameter (D), Normal Module (mn) and Virtual Number of Teeth (z') and hit the calculate button. Here is how the Helix Angle When Virtual Number of Teeth is Given calculation can be explained with given input values -> 78.22177 = acos(sqrt(1E-06/(1E-06*24))).

### FAQ

What is Helix Angle When Virtual Number of Teeth is Given?
The Helix Angle When Virtual Number of Teeth is Given 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(sqrt(D/(mn*z'))) or helix_angle = acos(sqrt(Pitch Circle Diameter/(Normal Module*Virtual Number of Teeth))). Pitch Circle Diameter is the diameter of the pitch circle, 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 Virtual Number of Teeth is defined as the number of teeth that are present on the virtual gear.
How to calculate Helix Angle When Virtual Number of Teeth is Given?
The Helix Angle When Virtual Number of Teeth is Given 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(sqrt(Pitch Circle Diameter/(Normal Module*Virtual Number of Teeth))). To calculate Helix Angle When Virtual Number of Teeth is Given, you need Pitch Circle Diameter (D), Normal Module (mn) and Virtual Number of Teeth (z'). With our tool, you need to enter the respective value for Pitch Circle Diameter, Normal Module 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 Pitch Circle Diameter, Normal Module 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 When Virtual Number of Teeth is Given calculator used?
Among many, Helix Angle When Virtual Number of Teeth is Given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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