Virtual Number of Teeth on Helical Gear Solution

STEP 0: Pre-Calculation Summary
Formula Used
Virtual Number of Teeth on Helical Gear = 2*pi*Virtual Pitch Circle Radius for Helical Gear/Normal Circular Pitch of Helical Gear
z' = 2*pi*rvh/PN
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Virtual Number of Teeth on Helical Gear - The Virtual Number of Teeth on Helical Gear is defined as the number of teeth that are present on the virtual helical gear.
Virtual Pitch Circle Radius for Helical Gear - (Measured in Meter) - Virtual Pitch Circle Radius for Helical Gear is the radius of the imaginary spur gear.
Normal Circular Pitch of Helical Gear - (Measured in Meter) - Normal Circular Pitch of Helical Gear is the distance between similar faces of adjacent teeth, along a helix on the pitch cylinder is normal to the teeth.
STEP 1: Convert Input(s) to Base Unit
Virtual Pitch Circle Radius for Helical Gear: 32 Millimeter --> 0.032 Meter (Check conversion ​here)
Normal Circular Pitch of Helical Gear: 9.6 Millimeter --> 0.0096 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
z' = 2*pi*rvh/PN --> 2*pi*0.032/0.0096
Evaluating ... ...
z' = 20.943951023932
STEP 3: Convert Result to Output's Unit
20.943951023932 --> No Conversion Required
FINAL ANSWER
20.943951023932 20.94395 <-- Virtual Number of Teeth on Helical Gear
(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad
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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Core Design Parameters Calculators

Pitch Circle Diameter of Helical Gear
​ LaTeX ​ Go Diameter of Pitch Circle of Helical Gear = Number of Teeth on Helical Gear*Normal Module of Helical Gear/cos(Helix Angle of Helical Gear)
Transverse Module of Helical Gear given Normal Module
​ LaTeX ​ Go Transverse Module of Helical Gear = Normal Module of Helical Gear/cos(Helix Angle of Helical Gear)
Normal Module of Helical Gear
​ LaTeX ​ Go Normal Module of Helical Gear = Transverse Module of Helical Gear*cos(Helix Angle of Helical Gear)
Transverse Module of Helical Gear given Transverse Diametrical Pitch
​ LaTeX ​ Go Transverse Module of Helical Gear = 1/Transverse Diametrical Pitch of Helical Gear

Virtual Number of Teeth on Helical Gear Formula

​LaTeX ​Go
Virtual Number of Teeth on Helical Gear = 2*pi*Virtual Pitch Circle Radius for Helical Gear/Normal Circular Pitch of Helical Gear
z' = 2*pi*rvh/PN

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 Virtual Number of Teeth on Helical Gear?

Virtual Number of Teeth on Helical Gear calculator uses Virtual Number of Teeth on Helical Gear = 2*pi*Virtual Pitch Circle Radius for Helical Gear/Normal Circular Pitch of Helical Gear to calculate the Virtual Number of Teeth on Helical Gear, Virtual Number of Teeth on Helical Gear formula is defined as the number of teeth that can be generated on the surface of a cylinder having a radius equal to the radius of curvature at a point at the tip of the minor axis of an ellipse obtained by taking a section of the gear in the normal plane. Virtual Number of Teeth on Helical Gear is denoted by z' symbol.

How to calculate Virtual Number of Teeth on Helical Gear using this online calculator? To use this online calculator for Virtual Number of Teeth on Helical Gear, enter Virtual Pitch Circle Radius for Helical Gear (rvh) & Normal Circular Pitch of Helical Gear (PN) and hit the calculate button. Here is how the Virtual Number of Teeth on Helical Gear calculation can be explained with given input values -> 20.94395 = 2*pi*0.032/0.0096.

FAQ

What is Virtual Number of Teeth on Helical Gear?
Virtual Number of Teeth on Helical Gear formula is defined as the number of teeth that can be generated on the surface of a cylinder having a radius equal to the radius of curvature at a point at the tip of the minor axis of an ellipse obtained by taking a section of the gear in the normal plane and is represented as z' = 2*pi*rvh/PN or Virtual Number of Teeth on Helical Gear = 2*pi*Virtual Pitch Circle Radius for Helical Gear/Normal Circular Pitch of Helical Gear. Virtual Pitch Circle Radius for Helical Gear is the radius of the imaginary spur gear & Normal Circular Pitch of Helical Gear is the distance between similar faces of adjacent teeth, along a helix on the pitch cylinder is normal to the teeth.
How to calculate Virtual Number of Teeth on Helical Gear?
Virtual Number of Teeth on Helical Gear formula is defined as the number of teeth that can be generated on the surface of a cylinder having a radius equal to the radius of curvature at a point at the tip of the minor axis of an ellipse obtained by taking a section of the gear in the normal plane is calculated using Virtual Number of Teeth on Helical Gear = 2*pi*Virtual Pitch Circle Radius for Helical Gear/Normal Circular Pitch of Helical Gear. To calculate Virtual Number of Teeth on Helical Gear, you need Virtual Pitch Circle Radius for Helical Gear (rvh) & Normal Circular Pitch of Helical Gear (PN). With our tool, you need to enter the respective value for Virtual Pitch Circle Radius for Helical Gear & Normal Circular Pitch of Helical Gear 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 Virtual Number of Teeth on Helical Gear?
In this formula, Virtual Number of Teeth on Helical Gear uses Virtual Pitch Circle Radius for Helical Gear & Normal Circular Pitch of Helical Gear. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Virtual Number of Teeth on Helical Gear = Number of Teeth on Helical Gear/(cos(Helix Angle of Helical Gear))^3
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