Helix Angle 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%
✖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 given Normal Circular Pitch [ψ]

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Formula

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Helix Angle of Helical Gear given Normal Circular Pitch

Formula

ψ = a \cos (\frac{P N}{p})

Example

25.98923 ° = a \cos (\frac{9.6 mm}{10.68 mm})

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Helix Angle of Helical Gear given Normal Circular Pitch Solution

STEP 0: Pre-Calculation Summary

Formula Used

Helix Angle of Helical Gear = acos(Normal Circular Pitch of Helical Gear/Pitch of Helical Gear)
ψ = acos(P_N/p)
This formula uses 2 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)
acos - The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio., acos(Number)

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Normal Circular Pitch of Helical Gear: 9.6 Millimeter --> 0.0096 Meter (Check conversion here)
Pitch of Helical Gear: 10.68 Millimeter --> 0.01068 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ψ = acos(P_N/p) --> acos(0.0096/0.01068)

Evaluating ... ...

ψ = 0.453597696107772

STEP 3: Convert Result to Output's Unit

0.453597696107772 Radian -->25.9892335838379 Degree (Check conversion here)

FINAL ANSWER

25.9892335838379 ≈ 25.98923 Degree <-- Helix Angle 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 » Helix Angle of Helical Gear given Normal Circular Pitch

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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

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

Helix Angle of Helical Gear given Normal Circular Pitch Formula

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

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 Helix Angle of Helical Gear given Normal Circular Pitch?

Helix Angle of Helical Gear given Normal Circular Pitch calculator uses Helix Angle of Helical Gear = acos(Normal Circular Pitch of Helical Gear/Pitch of Helical Gear) to calculate the Helix Angle of Helical Gear, Helix angle of Helical Gear given Normal Circular Pitch is defined as the angle between the axis of the shaft and the centerline of the tooth taken on the pitch plane. Helix Angle of Helical Gear is denoted by ψ symbol.

How to calculate Helix Angle of Helical Gear given Normal Circular Pitch using this online calculator? To use this online calculator for Helix Angle of Helical Gear given Normal Circular Pitch, enter Normal Circular Pitch of Helical Gear (P_N) & Pitch of Helical Gear (p) and hit the calculate button. Here is how the Helix Angle of Helical Gear given Normal Circular Pitch calculation can be explained with given input values -> 1489.073 = acos(0.0096/0.01068).

FAQ

What is Helix Angle of Helical Gear given Normal Circular Pitch?

Helix angle of Helical Gear given Normal Circular Pitch is defined as the angle between the axis of the shaft and the centerline of the tooth taken on the pitch plane and is represented as ψ = acos(P_N/p) or Helix Angle of Helical Gear = acos(Normal Circular Pitch of Helical Gear/Pitch 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 & Pitch of Helical Gear is defined as the distance between two identical points on two adjacent gear teeth.

How to calculate Helix Angle of Helical Gear given Normal Circular Pitch?

Helix angle of Helical Gear given Normal Circular Pitch is defined as the angle between the axis of the shaft and the centerline of the tooth taken on the pitch plane is calculated using Helix Angle of Helical Gear = acos(Normal Circular Pitch of Helical Gear/Pitch of Helical Gear). To calculate Helix Angle of Helical Gear given Normal Circular Pitch, you need Normal Circular Pitch of Helical Gear (P_N) & Pitch of Helical Gear (p). With our tool, you need to enter the respective value for Normal Circular Pitch of Helical Gear & Pitch 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 Helix Angle of Helical Gear?

In this formula, Helix Angle of Helical Gear uses Normal Circular Pitch of Helical Gear & Pitch of Helical Gear. We can use 3 other way(s) to calculate the same, which is/are as follows -

Helix Angle of Helical Gear = acos(Normal Module of Helical Gear/Transverse Module of Helical Gear)
Helix Angle of Helical Gear = atan(Pitch of Helical Gear/Axial Pitch of Helical Gear)
Helix Angle of Helical Gear = acos(tan(Normal Pressure Angle of Helical Gear)/tan(Transverse Pressure Angle of Helical Gear))

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