Normal Circular Pitch of Helical Gear given Virtual Number of Teeth 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%
✖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']			+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 given Virtual Number of Teeth [P_N]

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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
P_N = 2*pi*r_vh/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

P_N = 2*pi*r_vh/z' --> 2*pi*0.032/54

Evaluating ... ...

P_N = 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 00.007 seconds)

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Home » Physics » Design of Machine Elements » Design of Gears » Design of Helical Gears » Mechanical » Helix Geometry » Normal Circular Pitch of Helical Gear given Virtual Number of Teeth

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Helix Geometry Calculators

Helix Angle of Helical Gear given Normal Circular Pitch

LaTeX 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

LaTeX Go Pitch of Helical Gear = Normal Circular Pitch of Helical Gear/cos(Helix Angle of Helical Gear)

Normal Circular Pitch of Helical Gear

LaTeX Go Normal Circular Pitch of Helical Gear = Pitch of Helical Gear*cos(Helix Angle of Helical Gear)

Transverse Diametrical Pitch of Helical Gear given Transverse Module

LaTeX 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

LaTeX Go

Normal Circular Pitch of Helical Gear = 2*pi*Virtual Pitch Circle Radius for Helical Gear/Virtual Number of Teeth on Helical Gear
P_N = 2*pi*r_vh/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 P_N 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 (r_vh) & 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 P_N = 2*pi*r_vh/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 (r_vh) & 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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