Pitch of Helical Gear given Normal Circular Pitch Calculator

✖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%
✖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%

✖Pitch of Helical Gear is defined as the distance between two identical points on two adjacent gear teeth.ⓘ Pitch of Helical Gear given Normal Circular Pitch [p]

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Pitch of Helical Gear given Normal Circular Pitch Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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

Normal Circular Pitch of Helical Gear: 9.6 Millimeter --> 0.0096 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 = P_N/cos(ψ) --> 0.0096/cos(0.4363323129985)

Evaluating ... ...

p = 0.0105924280220395

STEP 3: Convert Result to Output's Unit

0.0105924280220395 Meter -->10.5924280220395 Millimeter (Check conversion here)

FINAL ANSWER

10.5924280220395 ≈ 10.59243 Millimeter <-- 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 » Mechanical » Helix Geometry » Pitch of Helical Gear given Normal Circular Pitch

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Osmania University (OU), Hyderabad

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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

Pitch of Helical Gear given Normal Circular Pitch Formula

LaTeX Go

Pitch of Helical Gear = Normal Circular Pitch of Helical Gear/cos(Helix Angle of Helical Gear)
p = P_N/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 Pitch of Helical Gear given Normal Circular Pitch?

Pitch of Helical Gear given Normal Circular Pitch calculator uses Pitch of Helical Gear = Normal Circular Pitch of Helical Gear/cos(Helix Angle of Helical Gear) to calculate the Pitch of Helical Gear, Pitch of Helical Gear given Normal Circular Pitch formula is defined as the pitch of helical gear teeth that is present on the plane of rotation. Pitch of Helical Gear is denoted by p symbol.

How to calculate Pitch of Helical Gear given Normal Circular Pitch using this online calculator? To use this online calculator for Pitch of Helical Gear given Normal Circular Pitch, enter Normal Circular Pitch of Helical Gear (P_N) & Helix Angle of Helical Gear (ψ) and hit the calculate button. Here is how the Pitch of Helical Gear given Normal Circular Pitch calculation can be explained with given input values -> 10592.43 = 0.0096/cos(0.4363323129985).

FAQ

What is Pitch of Helical Gear given Normal Circular Pitch?

Pitch of Helical Gear given Normal Circular Pitch formula is defined as the pitch of helical gear teeth that is present on the plane of rotation and is represented as p = P_N/cos(ψ) or Pitch of Helical Gear = Normal Circular Pitch of Helical Gear/cos(Helix Angle of Helical 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 & 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 Pitch of Helical Gear given Normal Circular Pitch?

Pitch of Helical Gear given Normal Circular Pitch formula is defined as the pitch of helical gear teeth that is present on the plane of rotation is calculated using Pitch of Helical Gear = Normal Circular Pitch of Helical Gear/cos(Helix Angle of Helical Gear). To calculate Pitch of Helical Gear given Normal Circular Pitch, you need Normal Circular Pitch of Helical Gear (P_N) & Helix Angle of Helical Gear (ψ). With our tool, you need to enter the respective value for Normal Circular 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 Pitch of Helical Gear?

In this formula, Pitch of Helical Gear uses Normal Circular 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 -

Pitch of Helical Gear = Axial Pitch of Helical Gear*tan(Helix Angle of Helical Gear)

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