Normal Circular Pitch of Helical Gear Calculator

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Design of Gears

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Design of Helical Gears

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Helix Geometry

Core Design Parameters

✖Pitch of Helical Gear is defined as the distance between two identical points on two adjacent gear teeth.ⓘ Pitch of Helical Gear [p]			+10% -10%
✖Helix Angle of Helical Gear is the angle between any helical gear and an axial line on its right, circular cylinder, or cone.ⓘ Helix Angle of Helical Gear [ψ]			+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]

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Formula

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Normal Circular Pitch of Helical Gear

Formula

`"P"_{"N"} = "p"*cos("ψ")`

Example

`"9.679367mm"="10.68mm"*cos("25°")`

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Download Design of Helical Gears Formulas PDF

Normal Circular Pitch of Helical Gear Solution

STEP 0: Pre-Calculation Summary

Formula Used

Normal Circular Pitch of Helical Gear = Pitch of Helical Gear*cos(Helix Angle of Helical Gear)
P_N = p*cos(ψ)
This formula uses 1 Functions, 3 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

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.
Pitch of Helical Gear - (Measured in Meter) - Pitch of Helical Gear is defined as the distance between two identical points on two adjacent gear teeth.
Helix Angle of Helical Gear - (Measured in Radian) - Helix Angle of Helical Gear is the angle between any helical gear and an axial line on its right, circular cylinder, or cone.

STEP 1: Convert Input(s) to Base Unit

Pitch of Helical Gear: 10.68 Millimeter --> 0.01068 Meter (Check conversion here)
Helix Angle of Helical Gear: 25 Degree --> 0.4363323129985 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_N = p*cos(ψ) --> 0.01068*cos(0.4363323129985)

Evaluating ... ...

P_N = 0.00967936716555179

STEP 3: Convert Result to Output's Unit

0.00967936716555179 Meter -->9.67936716555179 Millimeter (Check conversion here)

FINAL ANSWER

9.67936716555179 ≈ 9.679367 Millimeter <-- Normal Circular Pitch of Helical Gear

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Machine Elements » Design of Gears » Design of Helical Gears » Helix Geometry » Normal Circular Pitch of Helical Gear

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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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 Formula

Normal Circular Pitch of Helical Gear = Pitch of Helical Gear*cos(Helix Angle of Helical Gear)
P_N = p*cos(ψ)

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?

Normal Circular Pitch of Helical Gear calculator uses Normal Circular Pitch of Helical Gear = Pitch of Helical Gear*cos(Helix Angle of Helical Gear) to calculate the Normal Circular Pitch of Helical Gear, Normal Circular Pitch of Helical Gear formula 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 using this online calculator? To use this online calculator for Normal Circular Pitch of Helical Gear, enter Pitch of Helical Gear (p) & Helix Angle of Helical Gear (ψ) and hit the calculate button. Here is how the Normal Circular Pitch of Helical Gear calculation can be explained with given input values -> 9679.367 = 0.01068*cos(0.4363323129985).

FAQ

What is Normal Circular Pitch of Helical Gear?

Normal Circular Pitch of Helical Gear formula 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 = p*cos(ψ) or Normal Circular Pitch of Helical Gear = Pitch of Helical Gear*cos(Helix Angle of Helical Gear). Pitch of Helical Gear is defined as the distance between two identical points on two adjacent gear teeth & Helix Angle of Helical Gear is the angle between any helical gear and an axial line on its right, circular cylinder, or cone.

How to calculate Normal Circular Pitch of Helical Gear?

Normal Circular Pitch of Helical Gear formula 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 = Pitch of Helical Gear*cos(Helix Angle of Helical Gear). To calculate Normal Circular Pitch of Helical Gear, you need Pitch of Helical Gear (p) & Helix Angle of Helical Gear (ψ). With our tool, you need to enter the respective value for Pitch of Helical Gear & Helix Angle 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 Normal Circular Pitch of Helical Gear?

In this formula, Normal Circular Pitch of Helical Gear uses Pitch of Helical Gear & Helix Angle of Helical Gear. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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