Circular Pitch for Helical Gears Calculator

✖Normal Pitch is the distance between similar faces of adjacent teeth, along a helix on the pitch cylinder is normal to the teeth.ⓘ Normal Pitch [P_N]			+10% -10%
✖Helix Angle is the angle between any helix and an axial line on its right, circular cylinder, or cone.ⓘ Helix Angle [ψ]			+10% -10%

✖A circular pitch is the distance along the pitch circle or pitch line between corresponding profiles of adjacent teeth.ⓘ Circular Pitch for Helical Gears [P_c]

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Formula

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Circular Pitch for Helical Gears

Formula

`"P"_{"c"} = "P"_{"N"}/cos("ψ")`

Example

`"9.930401mm"="9mm"/cos("25°")`

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Circular Pitch for Helical Gears Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circular Pitch = Normal Pitch/cos(Helix Angle)
P_c = 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

Circular Pitch - (Measured in Meter) - A circular pitch is the distance along the pitch circle or pitch line between corresponding profiles of adjacent teeth.
Normal Pitch - (Measured in Meter) - Normal Pitch is the distance between similar faces of adjacent teeth, along a helix on the pitch cylinder is normal to the teeth.
Helix Angle - (Measured in Radian) - Helix Angle is the angle between any helix and an axial line on its right, circular cylinder, or cone.

STEP 1: Convert Input(s) to Base Unit

Normal Pitch: 9 Millimeter --> 0.009 Meter (Check conversion here)
Helix Angle: 25 Degree --> 0.4363323129985 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_c = P_N/cos(ψ) --> 0.009/cos(0.4363323129985)

Evaluating ... ...

P_c = 0.00993040127066204

STEP 3: Convert Result to Output's Unit

0.00993040127066204 Meter -->9.93040127066204 Millimeter (Check conversion here)

FINAL ANSWER

9.93040127066204 ≈ 9.930401 Millimeter <-- Circular Pitch

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< 5 Pitch Calculators

Circular Pitch given Number of Teeth on Wheel

Go Circular Pitch = (pi*Pitch Circle Diameter)/Number of Teeth on Wheel

Circular Pitch for Helical Gears

Go Circular Pitch = Normal Pitch/cos(Helix Angle)

Diametral Pitch

Go Diametral Pitch = Number of Teeth on Wheel/Pitch Circle Diameter

Diametral Pitch given Circular Pitch

Go Pitch Circle Diameter = pi/Circular Pitch

Circular Pitch

Go Circular Pitch = pi*Module

Circular Pitch for Helical Gears Formula

Circular Pitch = Normal Pitch/cos(Helix Angle)
P_c = P_N/cos(ψ)

What is circular pitch and circular thickness?

A circular pitch is a distance along the pitch circle or pitch line between corresponding profiles of adjacent teeth. Circular thickness (t) is the length of the arc between the two sides of a gear tooth on the pitch circle unless otherwise specified.

How to Calculate Circular Pitch for Helical Gears?

Circular Pitch for Helical Gears calculator uses Circular Pitch = Normal Pitch/cos(Helix Angle) to calculate the Circular Pitch, Circular pitch for helical gears is the distance along the pitch circle or pitch line between corresponding profiles of adjacent teeth. Circular Pitch is denoted by P_c symbol.

How to calculate Circular Pitch for Helical Gears using this online calculator? To use this online calculator for Circular Pitch for Helical Gears, enter Normal Pitch (P_N) & Helix Angle (ψ) and hit the calculate button. Here is how the Circular Pitch for Helical Gears calculation can be explained with given input values -> 9930.401 = 0.009/cos(0.4363323129985).

FAQ

What is Circular Pitch for Helical Gears?

Circular pitch for helical gears is the distance along the pitch circle or pitch line between corresponding profiles of adjacent teeth and is represented as P_c = P_N/cos(ψ) or Circular Pitch = Normal Pitch/cos(Helix Angle). Normal Pitch is the distance between similar faces of adjacent teeth, along a helix on the pitch cylinder is normal to the teeth & Helix Angle is the angle between any helix and an axial line on its right, circular cylinder, or cone.

How to calculate Circular Pitch for Helical Gears?

Circular pitch for helical gears is the distance along the pitch circle or pitch line between corresponding profiles of adjacent teeth is calculated using Circular Pitch = Normal Pitch/cos(Helix Angle). To calculate Circular Pitch for Helical Gears, you need Normal Pitch (P_N) & Helix Angle (ψ). With our tool, you need to enter the respective value for Normal Pitch & Helix Angle 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 Circular Pitch?

In this formula, Circular Pitch uses Normal Pitch & Helix Angle. We can use 2 other way(s) to calculate the same, which is/are as follows -

Circular Pitch = pi*Module
Circular Pitch = (pi*Pitch Circle Diameter)/Number of Teeth on Wheel

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