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Helix Angle for Single Threaded Screw Formula

GoHelix Angle Formula

GoHelix Angle for Multi-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{P s}{π \cdot d})

ψ - Helix Angle?P_s - Pitch?d - Mean Diameter of Screw?π - Archimedes' constant?

Helix Angle for Single Threaded Screw Example

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Here is how the Helix Angle for Single Threaded Screw equation looks like with Values.

Here is how the Helix Angle for Single Threaded Screw equation looks like with Units.

Here is how the Helix Angle for Single Threaded Screw equation looks like.

87.841 = a \tan (\frac{5}{3.1416 \cdot 0.06})

87.841° = a \tan (\frac{5m}{3.1416 \cdot 0.06m})

87.841 = a \tan (\frac{5}{3.1416 \cdot 0.06})

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Helix Angle for Single Threaded Screw Solution

Follow our step by step solution on how to calculate Helix Angle for Single Threaded Screw?

FIRST Step Consider the formula

ψ = a \tan (\frac{P s}{π \cdot d})

Next Step Substitute values of Variables

∴

ψ = a \tan (\frac{5m}{π \cdot 0.06m})

Next Step Substitute values of Constants

∴

ψ = a \tan (\frac{5m}{3.1416 \cdot 0.06m})

Next Step Prepare to Evaluate

∴

ψ = a \tan (\frac{5}{3.1416 \cdot 0.06})

Next Step Evaluate

∴

ψ = 1.53311505935313rad

Next Step Convert to Output's Unit

∴

ψ = 87.8410224088997°

LAST Step Rounding Answer

∴

ψ = 87.841°

Helix Angle for Single Threaded Screw Formula Elements

Variables

Constants

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

Pitch

Pitch is the distance between screw threads and is commonly used with inch sized products and specified as threads per inch.

Symbol: P_s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pitch

Mean Diameter of Screw

Mean diameter of Screw is the distance from the outer thread on one side to the outer thread on the other side.

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Mean Diameter of Screw

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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

ψ = a \tan (\frac{L}{C})

Go Helix Angle for Multi-Threaded Screw

ψ = a \tan (\frac{n \cdot 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 for Single Threaded Screw?

Helix Angle for Single Threaded Screw evaluator uses Helix Angle = atan(Pitch/(pi*Mean Diameter of Screw)) to evaluate the Helix Angle, Helix Angle for Single Threaded Screw is the angle between the screw thread and a plane perpendicular to the axis, determined by the screw's pitch and diameter. Helix Angle is denoted by ψ symbol.

How to evaluate Helix Angle for Single Threaded Screw using this online evaluator? To use this online evaluator for Helix Angle for Single Threaded Screw, enter Pitch (P_s) & Mean Diameter of Screw (d) and hit the calculate button.

FAQs on Helix Angle for Single Threaded Screw

What is the formula to find Helix Angle for Single Threaded Screw?

The formula of Helix Angle for Single Threaded Screw is expressed as Helix Angle = atan(Pitch/(pi*Mean Diameter of Screw)). Here is an example- 5032.92 = atan(5/(pi*0.06)).

How to calculate Helix Angle for Single Threaded Screw?

With Pitch (P_s) & Mean Diameter of Screw (d) we can find Helix Angle for Single Threaded Screw using the formula - Helix Angle = atan(Pitch/(pi*Mean Diameter of Screw)). This formula also uses Archimedes' constant and , 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(Lead of Screw/Circumference of Screw)
Helix Angle=atan((Number of Threads*Pitch)/(pi*Mean Diameter of Screw))

Can the Helix Angle for Single Threaded Screw be negative?

No, the Helix Angle for Single Threaded Screw, measured in Angle cannot be negative.

Which unit is used to measure Helix Angle for Single Threaded Screw?

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

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Helix Angle for Single Threaded Screw Formula

​GoHelix Angle Formula

​GoHelix Angle for Multi-Threaded Screw Formula

Helix Angle for Single Threaded Screw Example

Helix Angle for Single Threaded Screw Solution

Helix Angle for Single Threaded Screw Formula Elements

Other Formulas to find Helix Angle

Other formulas in Screw and Nut category

How to Evaluate Helix Angle for Single Threaded Screw?

FAQs on Helix Angle for Single Threaded Screw

Variable Name

GoHelix Angle Formula

GoHelix Angle for Multi-Threaded Screw Formula