Virtual Number of Teeth on Helical Gear Calculator

✖Virtual Pitch Circle Radius for Helical Gear is the radius of the imaginary spur gear.ⓘ Virtual Pitch Circle Radius for Helical Gear [r_vh]			+10% -10%
✖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.ⓘ Normal Circular Pitch of Helical Gear [P_N]			+10% -10%

✖The Virtual Number of Teeth on Helical Gear is defined as the number of teeth that are present on the virtual helical gear.ⓘ Virtual Number of Teeth on Helical Gear [z']

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Design of Helical Gears Formulas PDF PDF Image

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*r_vh/P_N
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*r_vh/P_N --> 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 00.020 seconds)

You are here -

Home » Physics » Design of Machine Elements » Design of Gears » Design of Helical Gears » Mechanical » Core Design Parameters » Virtual Number of Teeth on Helical Gear

Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< 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*r_vh/P_N

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 (r_vh) & Normal Circular Pitch of Helical Gear (P_N) 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*r_vh/P_N 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 (r_vh) & Normal Circular Pitch of Helical Gear (P_N). 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

Home

FREE PDFs

🔍 Search