FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Helix Angle of Helical Gear given Axial Pitch Formula

GoHelix Angle of Helical Gear given Normal Circular Pitch Formula

GoHelix Angle of Helical Gear given Normal Module Formula

Fx Copy

LaTeX Copy

Helix Angle of Helical Gear is the angle between any helical gear and an axial line on its right, circular cylinder, or cone. Check FAQs

ψ = a \tan (\frac{p}{p a})

ψ - Helix Angle of Helical Gear?p - Pitch of Helical Gear?p_a - Axial Pitch of Helical Gear?

Helix Angle of Helical Gear given Axial Pitch Example

With values

With units

Only example

Here is how the Helix Angle of Helical Gear given Axial Pitch equation looks like with Values.

Here is how the Helix Angle of Helical Gear given Axial Pitch equation looks like with Units.

Here is how the Helix Angle of Helical Gear given Axial Pitch equation looks like.

25.5909 = a \tan (\frac{10.68}{22.3})

25.5909° = a \tan (\frac{10.68mm}{22.3mm})

25.5909 = a \tan (\frac{10.68}{22.3})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Design of Machine Elements » fx Helix Angle of Helical Gear given Axial Pitch

Helix Angle of Helical Gear given Axial Pitch Solution

Follow our step by step solution on how to calculate Helix Angle of Helical Gear given Axial Pitch?

FIRST Step Consider the formula

ψ = a \tan (\frac{p}{p a})

Next Step Substitute values of Variables

∴

ψ = a \tan (\frac{10.68mm}{22.3mm})

Next Step Convert Units

∴

ψ = a \tan (\frac{0.0107m}{0.0223m})

Next Step Prepare to Evaluate

∴

ψ = a \tan (\frac{0.0107}{0.0223})

Next Step Evaluate

∴

ψ = 0.446644906104212rad

Next Step Convert to Output's Unit

∴

ψ = 25.5908680607931°

LAST Step Rounding Answer

∴

ψ = 25.5909°

Helix Angle of Helical Gear given Axial Pitch Formula Elements

Variables

Functions

Helix Angle of Helical Gear

Helix Angle of Helical Gear is the angle between any helical gear and an axial line on its right, circular cylinder, or cone.

Symbol: ψ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Helix Angle of Helical Gear

Pitch of Helical Gear

Pitch of Helical Gear is defined as the distance between two identical points on two adjacent gear teeth.

Symbol: p

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Pitch of Helical Gear

Axial Pitch 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.

Symbol: p_a

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Axial Pitch of Helical Gear

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.

Syntax: tan(Angle)

atan

Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle.

Syntax: atan(Number)

Other Formulas to find Helix Angle of Helical Gear

Go Helix Angle of Helical Gear given Normal Circular Pitch

ψ = a \cos (\frac{P N}{p})

Go Helix Angle of Helical Gear given Normal Module

ψ = a \cos (\frac{m n}{m})

Go Helix Angle of Helical Gear given Pressure Angle

ψ = a \cos (\frac{\tan (α n)}{\tan (α)})

Go Helix Angle of Helical Gear given Pitch Circle Diameter

ψ = a \cos (z \cdot \frac{m n}{d})

Other formulas in Helix Geometry category

Go Normal Circular Pitch of Helical Gear

P N = p \cdot \cos (ψ)

Go Pitch of Helical Gear given Normal Circular Pitch

p = \frac{P N}{\cos (ψ)}

Go Transverse Diametrical Pitch of Helical Gear given Transverse Module

P = \frac{1}{m}

Go Axial Pitch of Helical Gear given Helix Angle

p a = \frac{p}{\tan (ψ)}

How to Evaluate Helix Angle of Helical Gear given Axial Pitch?

Helix Angle of Helical Gear given Axial Pitch evaluator uses Helix Angle of Helical Gear = atan(Pitch of Helical Gear/Axial Pitch of Helical Gear) to evaluate the Helix Angle of Helical Gear, Helix Angle of Helical Gear given Axial Pitch formula is defined as the angle between the axis of the shaft and the center line of the tooth taken on the pitch plane. Helix Angle of Helical Gear is denoted by ψ symbol.

How to evaluate Helix Angle of Helical Gear given Axial Pitch using this online evaluator? To use this online evaluator for Helix Angle of Helical Gear given Axial Pitch, enter Pitch of Helical Gear (p) & Axial Pitch of Helical Gear (p_a) and hit the calculate button.

FAQs on Helix Angle of Helical Gear given Axial Pitch

What is the formula to find Helix Angle of Helical Gear given Axial Pitch?

The formula of Helix Angle of Helical Gear given Axial Pitch is expressed as Helix Angle of Helical Gear = atan(Pitch of Helical Gear/Axial Pitch of Helical Gear). Here is an example- 1466.249 = atan(0.01068/0.0223).

How to calculate Helix Angle of Helical Gear given Axial Pitch?

With Pitch of Helical Gear (p) & Axial Pitch of Helical Gear (p_a) we can find Helix Angle of Helical Gear given Axial Pitch using the formula - Helix Angle of Helical Gear = atan(Pitch of Helical Gear/Axial Pitch of Helical Gear). This formula also uses Tangent (tan), Inverse Tan (atan) function(s).

What are the other ways to Calculate Helix Angle of Helical Gear?

Here are the different ways to Calculate Helix Angle of Helical Gear-

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=acos(tan(Normal Pressure Angle of Helical Gear)/tan(Transverse Pressure Angle of Helical Gear))

Can the Helix Angle of Helical Gear given Axial Pitch be negative?

No, the Helix Angle of Helical Gear given Axial Pitch, measured in Angle cannot be negative.

Which unit is used to measure Helix Angle of Helical Gear given Axial Pitch?

Helix Angle of Helical Gear given Axial Pitch is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Helix Angle of Helical Gear given Axial Pitch can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Helix Angle of Helical Gear given Axial Pitch Formula

​GoHelix Angle of Helical Gear given Normal Circular Pitch Formula

​GoHelix Angle of Helical Gear given Normal Module Formula

Helix Angle of Helical Gear given Axial Pitch Example

Helix Angle of Helical Gear given Axial Pitch Solution

Helix Angle of Helical Gear given Axial Pitch Formula Elements

Other Formulas to find Helix Angle of Helical Gear

Other formulas in Helix Geometry category

How to Evaluate Helix Angle of Helical Gear given Axial Pitch?

FAQs on Helix Angle of Helical Gear given Axial Pitch

Variable Name

GoHelix Angle of Helical Gear given Normal Circular Pitch Formula

GoHelix Angle of Helical Gear given Normal Module Formula