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Actual Number of teeth When Virtual Number of teeth is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
number_of_teeth = ((cos(Helix Angle))^(1/3))*Virtual Number of Teeth
z = ((cos(α))^(1/3))*z'
This formula uses 1 Functions, 2 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
Variables Used
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)
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
Helix Angle: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Virtual Number of Teeth: 24 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
z = ((cos(α))^(1/3))*z' --> ((cos(0.5235987755982))^(1/3))*24
Evaluating ... ...
z = 22.8764230319265
STEP 3: Convert Result to Output's Unit
22.8764230319265 --> No Conversion Required
FINAL ANSWER
22.8764230319265 <-- Number of teeth
(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

Actual Number of teeth When Virtual Number of teeth is Given Formula

number_of_teeth = ((cos(Helix Angle))^(1/3))*Virtual Number of Teeth
z = ((cos(α))^(1/3))*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 Actual Number of teeth When Virtual Number of teeth is Given?

Actual Number of teeth When Virtual Number of teeth is Given calculator uses number_of_teeth = ((cos(Helix Angle))^(1/3))*Virtual Number of Teeth to calculate the Number of teeth, The Actual Number of teeth When Virtual Number of teeth is Given formula is defined as the actual number of indentations that are present on the gear. Number of teeth and is denoted by z symbol.

How to calculate Actual Number of teeth When Virtual Number of teeth is Given using this online calculator? To use this online calculator for Actual Number of teeth When Virtual Number of teeth is Given, enter Helix Angle (α) and Virtual Number of Teeth (z') and hit the calculate button. Here is how the Actual Number of teeth When Virtual Number of teeth is Given calculation can be explained with given input values -> 22.87642 = ((cos(0.5235987755982))^(1/3))*24.

FAQ

What is Actual Number of teeth When Virtual Number of teeth is Given?
The Actual Number of teeth When Virtual Number of teeth is Given formula is defined as the actual number of indentations that are present on the gear and is represented as z = ((cos(α))^(1/3))*z' or number_of_teeth = ((cos(Helix Angle))^(1/3))*Virtual Number of Teeth. 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 and Virtual Number of Teeth is defined as the number of teeth that are present on the virtual gear.
How to calculate Actual Number of teeth When Virtual Number of teeth is Given?
The Actual Number of teeth When Virtual Number of teeth is Given formula is defined as the actual number of indentations that are present on the gear is calculated using number_of_teeth = ((cos(Helix Angle))^(1/3))*Virtual Number of Teeth. To calculate Actual Number of teeth When Virtual Number of teeth is Given, you need Helix Angle (α) and Virtual Number of Teeth (z'). With our tool, you need to enter the respective value for Helix Angle 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 Number of teeth?
In this formula, Number of teeth uses Helix Angle 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 Actual Number of teeth When Virtual Number of teeth is Given calculator used?
Among many, Actual Number of teeth 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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