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## Credits

Osmania University (OU), Hyderabad
Kethavath Srinath has created this Calculator and 500+ more calculators!
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## Normal Module When Virtual Number of Teeth is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
normal_module = Pitch Circle Diameter/Virtual Number of Teeth*(cos(Helix Angle)^2)
mn = D/z'*(cos(α)^2)
This formula uses 1 Functions, 3 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
Variables Used
Pitch Circle Diameter - Pitch Circle Diameter is the diameter of the pitch circle. (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.
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
Pitch Circle Diameter: 0.001 Millimeter --> 1E-06 Meter (Check conversion here)
Virtual Number of Teeth: 24 --> No Conversion Required
Helix Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
mn = D/z'*(cos(α)^2) --> 1E-06/24*(cos(0.5235987755982)^2)
Evaluating ... ...
mn = 3.125E-08
STEP 3: Convert Result to Output's Unit
3.125E-08 Meter -->3.125E-05 Millimeter (Check conversion here)
FINAL ANSWER
3.125E-05 Millimeter <-- Normal Module
(Calculation completed in 00.011 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

### Normal Module When Virtual Number of Teeth is Given Formula

normal_module = Pitch Circle Diameter/Virtual Number of Teeth*(cos(Helix Angle)^2)
mn = D/z'*(cos(α)^2)

## 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 Normal Module When Virtual Number of Teeth is Given?

Normal Module When Virtual Number of Teeth is Given calculator uses normal_module = Pitch Circle Diameter/Virtual Number of Teeth*(cos(Helix Angle)^2) to calculate the Normal Module, The Normal Module When Virtual Number of Teeth is Given formula is defined as set of standardized parts or independent units that can be used to construct a more complex structure. Normal Module and is denoted by mn symbol.

How to calculate Normal Module When Virtual Number of Teeth is Given using this online calculator? To use this online calculator for Normal Module When Virtual Number of Teeth is Given, enter Pitch Circle Diameter (D), Virtual Number of Teeth (z') and Helix Angle (α) and hit the calculate button. Here is how the Normal Module When Virtual Number of Teeth is Given calculation can be explained with given input values -> 3.125E-5 = 1E-06/24*(cos(0.5235987755982)^2).

### FAQ

What is Normal Module When Virtual Number of Teeth is Given?
The Normal Module When Virtual Number of Teeth is Given formula is defined as set of standardized parts or independent units that can be used to construct a more complex structure and is represented as mn = D/z'*(cos(α)^2) or normal_module = Pitch Circle Diameter/Virtual Number of Teeth*(cos(Helix Angle)^2). Pitch Circle Diameter is the diameter of the pitch circle, Virtual Number of Teeth is defined as the number of teeth that are present on the virtual gear 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 Normal Module When Virtual Number of Teeth is Given?
The Normal Module When Virtual Number of Teeth is Given formula is defined as set of standardized parts or independent units that can be used to construct a more complex structure is calculated using normal_module = Pitch Circle Diameter/Virtual Number of Teeth*(cos(Helix Angle)^2). To calculate Normal Module When Virtual Number of Teeth is Given, you need Pitch Circle Diameter (D), Virtual Number of Teeth (z') and Helix Angle (α). With our tool, you need to enter the respective value for Pitch Circle Diameter, Virtual Number of Teeth 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 Normal Module?
In this formula, Normal Module uses Pitch Circle Diameter, Virtual Number of Teeth 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 Normal Module When Virtual Number of Teeth is Given calculator used?
Among many, Normal Module 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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