Helix Angle of Helical Gear given Pitch Circle Diameter Calculator

✖Number of Teeth on Helical Gear is defined as the number of teeth (which mesh with another compatible toothed part to transmit or convert torque and speed) on a specimen or part under consideration.ⓘ Number of Teeth on Helical Gear [z]			+10% -10%
✖The Normal Module of Helical Gear is defined as the unit of size that indicates how big or small is the helical gear.ⓘ Normal Module of Helical Gear [m_n]			+10% -10%
✖Diameter of Pitch Circle of Helical Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle.ⓘ Diameter of Pitch Circle of Helical Gear [d]			+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 Pitch Circle Diameter [ψ]

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Helix Angle of Helical Gear given Pitch Circle Diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Helix Angle of Helical Gear = acos(Number of Teeth on Helical Gear*Normal Module of Helical Gear/Diameter of Pitch Circle of Helical Gear)
ψ = acos(z*m_n/d)
This formula uses 2 Functions, 4 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.
Number of Teeth on Helical Gear - Number of Teeth on Helical Gear is defined as the number of teeth (which mesh with another compatible toothed part to transmit or convert torque and speed) on a specimen or part under consideration.
Normal Module of Helical Gear - (Measured in Meter) - The Normal Module of Helical Gear is defined as the unit of size that indicates how big or small is the helical gear.
Diameter of Pitch Circle of Helical Gear - (Measured in Meter) - Diameter of Pitch Circle of Helical Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle.

STEP 1: Convert Input(s) to Base Unit

Number of Teeth on Helical Gear: 37 --> No Conversion Required
Normal Module of Helical Gear: 3 Millimeter --> 0.003 Meter (Check conversion here)
Diameter of Pitch Circle of Helical Gear: 118 Millimeter --> 0.118 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ψ = acos(z*m_n/d) --> acos(37*0.003/0.118)

Evaluating ... ...

ψ = 0.346173396306358

STEP 3: Convert Result to Output's Unit

0.346173396306358 Radian -->19.8342745880677 Degree (Check conversion here)

FINAL ANSWER

19.8342745880677 ≈ 19.83427 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 Pitch Circle Diameter

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Created by Kethavath Srinath

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

Helix Angle of Helical Gear given Pitch Circle Diameter Formula

LaTeX 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)
ψ = acos(z*m_n/d)

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 Pitch Circle Diameter?

Helix Angle of Helical Gear given Pitch Circle Diameter calculator uses Helix Angle of Helical Gear = acos(Number of Teeth on Helical Gear*Normal Module of Helical Gear/Diameter of Pitch Circle of Helical Gear) to calculate the Helix Angle of Helical Gear, Helix Angle of Helical Gear given Pitch Circle Diameter 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 Pitch Circle Diameter using this online calculator? To use this online calculator for Helix Angle of Helical Gear given Pitch Circle Diameter, enter Number of Teeth on Helical Gear (z), Normal Module of Helical Gear (m_n) & Diameter of Pitch Circle of Helical Gear (d) and hit the calculate button. Here is how the Helix Angle of Helical Gear given Pitch Circle Diameter calculation can be explained with given input values -> 1136.42 = acos(37*0.003/0.118).

FAQ

What is Helix Angle of Helical Gear given Pitch Circle Diameter?

Helix Angle of Helical Gear given Pitch Circle Diameter 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(z*m_n/d) or Helix Angle of Helical Gear = acos(Number of Teeth on Helical Gear*Normal Module of Helical Gear/Diameter of Pitch Circle of Helical Gear). Number of Teeth on Helical Gear is defined as the number of teeth (which mesh with another compatible toothed part to transmit or convert torque and speed) on a specimen or part under consideration, The Normal Module of Helical Gear is defined as the unit of size that indicates how big or small is the helical gear & Diameter of Pitch Circle of Helical Gear is the diameter of the pitch circle of a gear that touches the meshing gear's pitch circle.

How to calculate Helix Angle of Helical Gear given Pitch Circle Diameter?

Helix Angle of Helical Gear given Pitch Circle Diameter 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(Number of Teeth on Helical Gear*Normal Module of Helical Gear/Diameter of Pitch Circle of Helical Gear). To calculate Helix Angle of Helical Gear given Pitch Circle Diameter, you need Number of Teeth on Helical Gear (z), Normal Module of Helical Gear (m_n) & Diameter of Pitch Circle of Helical Gear (d). With our tool, you need to enter the respective value for Number of Teeth on Helical Gear, Normal Module of Helical Gear & Diameter of Pitch Circle 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 Number of Teeth on Helical Gear, Normal Module of Helical Gear & Diameter of Pitch Circle 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 Circular Pitch of Helical Gear/Pitch of Helical Gear)
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)

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