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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25 Core Design Parameters Calculators

Normal Module of Helical Gear given Center to Center Distance between Two Gears
Go Normal Module of Helical Gear = Center to Center Distance of Helical Gears*(2*cos(Helix Angle of Helical Gear))/(Number of Teeth on 1st Helical Gear+Number of Teeth on 2nd Helical Gear)
Center to Center distance between Two Gears
Go Center to Center Distance of Helical Gears = Normal Module of Helical Gear*(Number of Teeth on 1st Helical Gear+Number of Teeth on 2nd Helical Gear)/(2*cos(Helix Angle of Helical Gear))
Number of Teeth on Second Helical Gear given Center to Center Distance between Two Gears
Go Number of Teeth on 2nd Helical Gear = Center to Center Distance of Helical Gears*(2*cos(Helix Angle of Helical Gear))/Normal Module of Helical Gear-Number of Teeth on 1st Helical Gear
Number of Teeth on First Gear given Center to Center Distance between Two Gears
Go Number of Teeth on 1st Helical Gear = Center to Center Distance of Helical Gears*(2*cos(Helix Angle of Helical Gear))/Normal Module of Helical Gear-Number of Teeth on 2nd Helical Gear
Normal Module of Helical Gear given Virtual Number of Teeth
Go Normal Module of Helical Gear = Diameter of Pitch Circle of Helical Gear/Virtual Number of Teeth on Helical Gear*(cos(Helix Angle of Helical Gear)^2)
Addendum Circle Diameter of Gear
Go Addendum Circle Diameter of Helical Gear = Normal Module of Helical Gear*((Number of Teeth on Helical Gear/cos(Helix Angle of Helical Gear))+2)
Normal Module of Helical Gear given Addendum Circle Diameter
Go Normal Module of Helical Gear = Addendum Circle Diameter of Helical Gear/(Number of Teeth on Helical Gear/cos(Helix Angle of Helical Gear)+2)
Number of Teeth on Gear given Addendum Circle Diameter
Go Number of Teeth on Helical Gear = (Addendum Circle Diameter of Helical Gear/Normal Module of Helical Gear-2)*cos(Helix Angle of Helical Gear)
Normal Module of Helical Gear given Pitch Circle Diameter
Go Normal Module of Helical Gear = Diameter of Pitch Circle of Helical Gear*cos(Helix Angle of Helical Gear)/Number of Teeth on Helical Gear
Number of Teeth on Gear given Pitch Circle Diameter
Go Number of Teeth on Helical Gear = Diameter of Pitch Circle of Helical Gear*cos(Helix Angle of Helical Gear)/Normal Module of Helical Gear
Pitch Circle Diameter of Helical Gear
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)
Virtual Number of Teeth on Helical Gear
Go Virtual Number of Teeth on Helical Gear = 2*pi*Virtual Pitch Circle Radius for Helical Gear/Normal Circular Pitch of Helical Gear
Pitch Circle Diameter of Gear given Radius of Curvature at Point
Go Diameter of Pitch Circle of Helical Gear = 2*Radius of Curvature of Helical Gear*(cos(Helix Angle of Helical Gear))^2
Virtual Number of Teeth on Helical Gear given Actual Number of Teeth
Go Virtual Number of Teeth on Helical Gear = Number of Teeth on Helical Gear/(cos(Helix Angle of Helical Gear))^3
Transverse Module of Helical Gear given Normal Module
Go Transverse Module of Helical Gear = Normal Module of Helical Gear/cos(Helix Angle of Helical Gear)
Normal Module of Helical Gear
Go Normal Module of Helical Gear = Transverse Module of Helical Gear*cos(Helix Angle of Helical Gear)
Addendum of Gear given Addendum Circle Diameter
Go Addendum of Helical Gear = (Addendum Circle Diameter of Helical Gear-Diameter of Pitch Circle of Helical Gear)/2
Addendum Circle Diameter of Gear given Pitch Circle Diameter
Go Addendum Circle Diameter of Helical Gear = 2*Addendum of Helical Gear+Diameter of Pitch Circle of Helical Gear
Pitch Circle Diameter of Gear given Addendum Circle Diameter
Go Diameter of Pitch Circle of Helical Gear = Addendum Circle Diameter of Helical Gear-2*Addendum of Helical Gear
Number of Teeth on Helical Gear given Speed Ratio for Helical Gears
Go Number of Teeth on Helical Gear = Number of Teeth on Helical Pinion*Helical Gear Speed Ratio
Number of Teeth on Pinion given Speed Ratio
Go Number of Teeth on Helical Pinion = Number of Teeth on Helical Gear/Helical Gear Speed Ratio
Angular Velocity of Pinion given Speed Ratio
Go Speed of Pinion Helical Gear = Helical Gear Speed Ratio*Speed of Helical Gear
Angular Velocity of Gear given Speed Ratio
Go Speed of Helical Gear = Speed of Pinion Helical Gear/Helical Gear Speed Ratio
Speed Ratio for Helical Gears
Go Helical Gear Speed Ratio = Speed of Pinion Helical Gear/Speed of Helical Gear
Transverse Module of Helical Gear given Transverse Diametrical Pitch
Go Transverse Module of Helical Gear = 1/Transverse Diametrical Pitch of Helical Gear

Virtual Number of Teeth on Helical Gear Formula

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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