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Helix Angle Formula

GoHelix Angle for Multi-Threaded Screw Formula

GoHelix Angle for Single Threaded Screw Formula

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Helix Angle is the angle between any helix and an axial line on its right, circular cylinder, or cone. Check FAQs

ψ = a \tan (\frac{L}{C})

ψ - Helix Angle?L - Lead of Screw?C - Circumference of Screw?

Helix Angle Example

With values

With units

Only example

Here is how the Helix Angle equation looks like with Values.

Here is how the Helix Angle equation looks like with Units.

Here is how the Helix Angle equation looks like.

0.0548 = a \tan (\frac{0.011}{11.5})

0.0548° = a \tan (\frac{0.011m}{11.5m})

0.0548 = a \tan (\frac{0.011}{11.5})

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Helix Angle Solution

Follow our step by step solution on how to calculate Helix Angle?

FIRST Step Consider the formula

ψ = a \tan (\frac{L}{C})

Next Step Substitute values of Variables

∴

ψ = a \tan (\frac{0.011m}{11.5m})

Next Step Prepare to Evaluate

∴

ψ = a \tan (\frac{0.011}{11.5})

Next Step Evaluate

∴

ψ = 0.00095652144741256rad

Next Step Convert to Output's Unit

∴

ψ = 0.0548046419504947°

LAST Step Rounding Answer

∴

ψ = 0.0548°

Helix Angle Formula Elements

Variables

Functions

Helix Angle

Helix Angle is the angle between any helix 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

Lead of Screw

Lead of Screw is the linear travel the nut makes per one screw revolution and is how ball screws are typically specified.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Lead of Screw

Circumference of Screw

Circumference of Screw is calculated by measuring the diameter of the screw and multiplying by pi.

Symbol: C

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumference of Screw

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

Go Helix Angle for Multi-Threaded Screw

ψ = a \tan (\frac{n \cdot P s}{π \cdot d})

Go Helix Angle for Single Threaded Screw

ψ = a \tan (\frac{P s}{π \cdot d})

Other formulas in Screw and Nut category

Go Force at Circumference of Screw given Helix Angle and Coefficient of Friction

F = W \cdot (\frac{\sin (ψ) + μ f \cdot \cos (ψ)}{\cos (ψ) - μ f \cdot \sin (ψ)})

Go Force at Circumference of Screw given Helix Angle and Limiting Angle

F = W l \cdot \tan (ψ + Φ)

Go Lead of Screw

L = P s \cdot n

Go Torque Required to Overcome Friction between Screw and Nut

T = W l \cdot \tan (ψ + Φ) \cdot \frac{d}{2}

How to Evaluate Helix Angle?

Helix Angle evaluator uses Helix Angle = atan(Lead of Screw/Circumference of Screw) to evaluate the Helix Angle, Helix Angle is the angle between the screw thread's inclined surface and a plane perpendicular to the screw's axis. It represents the slope of the thread in relation to its axial direction. Helix Angle is denoted by ψ symbol.

How to evaluate Helix Angle using this online evaluator? To use this online evaluator for Helix Angle, enter Lead of Screw (L) & Circumference of Screw (C) and hit the calculate button.

FAQs on Helix Angle

What is the formula to find Helix Angle?

The formula of Helix Angle is expressed as Helix Angle = atan(Lead of Screw/Circumference of Screw). Here is an example- 3.140075 = atan(0.011/11.5).

How to calculate Helix Angle?

With Lead of Screw (L) & Circumference of Screw (C) we can find Helix Angle using the formula - Helix Angle = atan(Lead of Screw/Circumference of Screw). This formula also uses Tangent (tan), Inverse Tan (atan) function(s).

What are the other ways to Calculate Helix Angle?

Here are the different ways to Calculate Helix Angle-

Helix Angle=atan((Number of Threads*Pitch)/(pi*Mean Diameter of Screw))
Helix Angle=atan(Pitch/(pi*Mean Diameter of Screw))

Can the Helix Angle be negative?

No, the Helix Angle, measured in Angle cannot be negative.

Which unit is used to measure Helix Angle?

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

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Helix Angle Formula

​GoHelix Angle for Multi-Threaded Screw Formula

​GoHelix Angle for Single Threaded Screw Formula

Helix Angle Example

Helix Angle Solution

Helix Angle Formula Elements

Other Formulas to find Helix Angle

Other formulas in Screw and Nut category

How to Evaluate Helix Angle?

FAQs on Helix Angle

Variable Name

GoHelix Angle for Multi-Threaded Screw Formula

GoHelix Angle for Single Threaded Screw Formula