Normal Circular Pitch of Helical Gear given Virtual Number of Teeth Solution

STEP 0: Pre-Calculation Summary
Formula Used
Normal Circular Pitch of Helical Gear = 2*pi*Virtual Pitch Circle Radius for Helical Gear/Virtual Number of Teeth on Helical Gear
PN = 2*pi*rvh/z'
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Virtual Pitch Circle Radius for Helical Gear: 32 Millimeter --> 0.032 Meter (Check conversion here)
Virtual Number of Teeth on Helical Gear: 54 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
PN = 2*pi*rvh/z' --> 2*pi*0.032/54
Evaluating ... ...
PN = 0.00372336907092124
STEP 3: Convert Result to Output's Unit
0.00372336907092124 Meter -->3.72336907092124 Millimeter (Check conversion here)
FINAL ANSWER
3.72336907092124 3.723369 Millimeter <-- Normal Circular Pitch of Helical Gear
(Calculation completed in 00.020 seconds)

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25 Helix Geometry Calculators

Helix Angle of Helical Gear given Center to Center Distance between Two Gears
Go Helix Angle of Helical Gear = acos(Normal Module of Helical Gear*(Number of Teeth on 1st Helical Gear+Number of Teeth on 2nd Helical Gear)/(2*Center to Center Distance of Helical Gears))
Helix Angle of Helical Gear given Virtual Number of Teeth
Go Helix Angle of Helical Gear = acos((Diameter of Pitch Circle of Helical Gear/(Normal Module of Helical Gear*Virtual Number of Teeth on Helical Gear))^(1/2))
Transverse Pressure Angle of Helical Gear given Helix Angle
Go Transverse Pressure Angle of Helical Gear = atan(tan(Normal Pressure Angle of Helical Gear)/cos(Helix Angle of Helical Gear))
Normal Pressure Angle of Helical Gear given Helix Angle
Go Normal Pressure Angle of Helical Gear = atan(tan(Transverse Pressure Angle of Helical Gear)*cos(Helix Angle of Helical Gear))
Helix Angle of Helical Gear given Pressure Angle
Go Helix Angle of Helical Gear = acos(tan(Normal Pressure Angle of Helical Gear)/tan(Transverse Pressure Angle of Helical Gear))
Pitch Circular Diameter of Gear given Virtual Number of Teeth
Go Diameter of Pitch Circle of Helical Gear = Normal Module of Helical Gear*Virtual Number of Teeth on Helical Gear*(cos(Helix Angle of Helical Gear)^2)
Helix Angle of Helical Gear given Pitch Circle Diameter
Go Helix Angle of Helical Gear = acos(Number of Teeth on Helical Gear*Normal Module of Helical Gear/Diameter of Pitch Circle of Helical Gear)
Helix Angle of Helical Gear given Radius of Curvature at Point
Go Helix Angle of Helical Gear = sqrt(acos(Diameter of Pitch Circle of Helical Gear/(2*Radius of Curvature of Helical Gear)))
Radius of Curvature of Virtual Gear given Virtual Number of Teeth
Go Virtual Pitch Circle Radius for Helical Gear = Virtual Number of Teeth on Helical Gear*Normal Circular Pitch of Helical Gear/(2*pi)
Normal Circular Pitch of Helical Gear given Virtual Number of Teeth
Go Normal Circular Pitch of Helical Gear = 2*pi*Virtual Pitch Circle Radius for Helical Gear/Virtual Number of Teeth on Helical Gear
Semi Major Axis of Elliptical Profile given Radius of Curvature at Point
Go Semi Major Axis of Helical Gear Teeth = sqrt(Radius of Curvature of Helical Gear*Semi Minor Axis of Helical Gear Teeth)
Radius of Curvature at Point on Virtual Gear
Go Radius of Curvature of Helical Gear = Diameter of Pitch Circle of Helical Gear/(2*(cos(Helix Angle of Helical Gear))^2)
Pitch Circular Diameter of Gear given Virtual Gear
Go Diameter of Pitch Circle of Helical Gear = 2*Radius of Curvature of Helical Gear*(cos(Helix Angle of Helical Gear))^2
Helix Angle of Helical Gear given Normal Module
Go Helix Angle of Helical Gear = acos(Normal Module of Helical Gear/Transverse Module of Helical Gear)
Helix Angle of Helical Gear given Normal Circular Pitch
Go Helix Angle of Helical Gear = acos(Normal Circular Pitch of Helical Gear/Pitch of Helical Gear)
Pitch of Helical Gear given Normal Circular Pitch
Go Pitch of Helical Gear = Normal Circular Pitch of Helical Gear/cos(Helix Angle of Helical Gear)
Normal Circular Pitch of Helical Gear
Go Normal Circular Pitch of Helical Gear = Pitch of Helical Gear*cos(Helix Angle of Helical Gear)
Semi Minor Axis of Elliptical Profile given Radius of Curvature at Point
Go Semi Minor Axis of Helical Gear Teeth = Semi Major Axis of Helical Gear Teeth^2/Radius of Curvature of Helical Gear
Helix Angle of Helical Gear given Axial Pitch
Go Helix Angle of Helical Gear = atan(Pitch of Helical Gear/Axial Pitch of Helical Gear)
Radius of Curvature at Point on Helical Gear
Go Radius of Curvature of Helical Gear = Semi Major Axis of Helical Gear Teeth^2/Semi Minor Axis of Helical Gear Teeth
Axial Pitch of Helical Gear given Helix Angle
Go Axial Pitch of Helical Gear = Pitch of Helical Gear/tan(Helix Angle of Helical Gear)
Pitch of Helical Gear given Axial Pitch
Go Pitch of Helical Gear = Axial Pitch of Helical Gear*tan(Helix Angle of Helical Gear)
Radius of Curvature of Virtual Gear given Pitch Circular Diameter
Go Radius of Curvature of Helical Gear = Pitch Circular Diameter of Helical Virtual Gear/2
Pitch Circular Diameter of Gear given Radius of Curvature
Go Pitch Circular Diameter of Helical Virtual Gear = 2*Radius of Curvature of Helical Gear
Transverse Diametrical Pitch of Helical Gear given Transverse Module
Go Transverse Diametrical Pitch of Helical Gear = 1/Transverse Module of Helical Gear

Normal Circular Pitch of Helical Gear given Virtual Number of Teeth Formula

Normal Circular Pitch of Helical Gear = 2*pi*Virtual Pitch Circle Radius for Helical Gear/Virtual Number of Teeth on Helical Gear
PN = 2*pi*rvh/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 Normal Circular Pitch of Helical Gear given Virtual Number of Teeth?

Normal Circular Pitch of Helical Gear given Virtual Number of Teeth calculator uses Normal Circular Pitch of Helical Gear = 2*pi*Virtual Pitch Circle Radius for Helical Gear/Virtual Number of Teeth on Helical Gear to calculate the Normal Circular Pitch of Helical Gear, Normal Circular Pitch of Helical Gear given Virtual Number of Teeth is defined as the distance from a point on one tooth to the corresponding point on the next tooth measured along the pitch Circle. Normal Circular Pitch of Helical Gear is denoted by PN symbol.

How to calculate Normal Circular Pitch of Helical Gear given Virtual Number of Teeth using this online calculator? To use this online calculator for Normal Circular Pitch of Helical Gear given Virtual Number of Teeth, enter Virtual Pitch Circle Radius for Helical Gear (rvh) & Virtual Number of Teeth on Helical Gear (z') and hit the calculate button. Here is how the Normal Circular Pitch of Helical Gear given Virtual Number of Teeth calculation can be explained with given input values -> 3723.369 = 2*pi*0.032/54.

FAQ

What is Normal Circular Pitch of Helical Gear given Virtual Number of Teeth?
Normal Circular Pitch of Helical Gear given Virtual Number of Teeth is defined as the distance from a point on one tooth to the corresponding point on the next tooth measured along the pitch Circle and is represented as PN = 2*pi*rvh/z' or Normal Circular Pitch of Helical Gear = 2*pi*Virtual Pitch Circle Radius for Helical Gear/Virtual Number of Teeth on Helical Gear. Virtual Pitch Circle Radius for Helical Gear is the radius of the imaginary spur gear & The Virtual Number of Teeth on Helical Gear is defined as the number of teeth that are present on the virtual helical gear.
How to calculate Normal Circular Pitch of Helical Gear given Virtual Number of Teeth?
Normal Circular Pitch of Helical Gear given Virtual Number of Teeth is defined as the distance from a point on one tooth to the corresponding point on the next tooth measured along the pitch Circle is calculated using Normal Circular Pitch of Helical Gear = 2*pi*Virtual Pitch Circle Radius for Helical Gear/Virtual Number of Teeth on Helical Gear. To calculate Normal Circular Pitch of Helical Gear given Virtual Number of Teeth, you need Virtual Pitch Circle Radius for Helical Gear (rvh) & Virtual Number of Teeth on Helical Gear (z'). With our tool, you need to enter the respective value for Virtual Pitch Circle Radius for Helical Gear & Virtual Number of Teeth on 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 Normal Circular Pitch of Helical Gear?
In this formula, Normal Circular Pitch of Helical Gear uses Virtual Pitch Circle Radius for Helical Gear & Virtual Number of Teeth on Helical Gear. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Normal Circular Pitch of Helical Gear = Pitch of Helical Gear*cos(Helix Angle of Helical Gear)
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