Pitch of Helical Gear given Axial Pitch Calculator

✖Axial Pitch of Helical Gear is defined as the axial advance of a helix or screw during one complete turn (360°) The lead for a screw thread is the axial travel for a single revolution.ⓘ Axial Pitch of Helical Gear [p_a]			+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 Axial Pitch [p]

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Formula

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Pitch of Helical Gear given Axial Pitch

Formula

p = p a \cdot \tan (ψ)

Example

10.39866 mm = 22.3 mm \cdot \tan (25 °)

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Pitch of Helical Gear given Axial Pitch Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pitch of Helical Gear = Axial Pitch of Helical Gear*tan(Helix Angle of Helical Gear)
p = p_a*tan(ψ)
This formula uses 1 Functions, 3 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(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.
Axial Pitch of Helical Gear - (Measured in Meter) - Axial Pitch of Helical Gear is defined as the axial advance of a helix or screw during one complete turn (360°) The lead for a screw thread is the axial travel for a single revolution.
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

Axial Pitch of Helical Gear: 22.3 Millimeter --> 0.0223 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_a*tan(ψ) --> 0.0223*tan(0.4363323129985)

Evaluating ... ...

p = 0.0103986607768542

STEP 3: Convert Result to Output's Unit

0.0103986607768542 Meter -->10.3986607768542 Millimeter (Check conversion here)

FINAL ANSWER

10.3986607768542 ≈ 10.39866 Millimeter <-- Pitch of Helical Gear

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< Helix Geometry Calculators

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)

Transverse Diametrical Pitch of Helical Gear given Transverse Module

Go Transverse Diametrical Pitch of Helical Gear = 1/Transverse Module of Helical Gear

Pitch of Helical Gear given Axial Pitch Formula

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

Pitch of Helical Gear given Axial Pitch calculator uses Pitch of Helical Gear = Axial Pitch of Helical Gear*tan(Helix Angle of Helical Gear) to calculate the Pitch of Helical Gear, Pitch of Helical Gear given Axial 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 Axial Pitch using this online calculator? To use this online calculator for Pitch of Helical Gear given Axial Pitch, enter Axial Pitch of Helical Gear (p_a) & Helix Angle of Helical Gear (ψ) and hit the calculate button. Here is how the Pitch of Helical Gear given Axial Pitch calculation can be explained with given input values -> 10398.66 = 0.0223*tan(0.4363323129985).

FAQ

What is Pitch of Helical Gear given Axial Pitch?

Pitch of Helical Gear given Axial 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_a*tan(ψ) or Pitch of Helical Gear = Axial Pitch of Helical Gear*tan(Helix Angle of Helical Gear). Axial Pitch of Helical Gear is defined as the axial advance of a helix or screw during one complete turn (360°) The lead for a screw thread is the axial travel for a single revolution & 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 Axial Pitch?

Pitch of Helical Gear given Axial 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 = Axial Pitch of Helical Gear*tan(Helix Angle of Helical Gear). To calculate Pitch of Helical Gear given Axial Pitch, you need Axial Pitch of Helical Gear (p_a) & Helix Angle of Helical Gear (ψ). With our tool, you need to enter the respective value for Axial 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 Axial 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 = Normal Circular Pitch of Helical Gear/cos(Helix Angle of Helical Gear)

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