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Helix Angle for Multi-Threaded Screw Formula

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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{n \cdot P s}{π \cdot d})

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

Helix Angle for Multi-Threaded Screw Example

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

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

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

89.865 = a \tan (\frac{16 \cdot 5}{3.1416 \cdot 0.06})

89.865° = a \tan (\frac{16 \cdot 5m}{3.1416 \cdot 0.06m})

89.865 = a \tan (\frac{16 \cdot 5}{3.1416 \cdot 0.06})

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Helix Angle for Multi-Threaded Screw Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ψ = a \tan (\frac{16 \cdot 5m}{π \cdot 0.06m})

Next Step Substitute values of Constants

∴

ψ = a \tan (\frac{16 \cdot 5m}{3.1416 \cdot 0.06m})

Next Step Prepare to Evaluate

∴

ψ = a \tan (\frac{16 \cdot 5}{3.1416 \cdot 0.06})

Next Step Evaluate

∴

ψ = 1.56844013666495rad

Next Step Convert to Output's Unit

∴

ψ = 89.8650002498404°

LAST Step Rounding Answer

∴

ψ = 89.865°

Helix Angle for Multi-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

Number of Threads

Number of Threads is total number of threads in a screw.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Threads

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 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 for Multi-Threaded Screw?

Helix Angle for Multi-Threaded Screw evaluator uses Helix Angle = atan((Number of Threads*Pitch)/(pi*Mean Diameter of Screw)) to evaluate the Helix Angle, Helix Angle for Multi-Threaded Screw is the angle produced between the threads. The helix angle is the angle opposite the lead. Helix Angle is denoted by ψ symbol.

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

FAQs on Helix Angle for Multi-Threaded Screw

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

The formula of Helix Angle for Multi-Threaded Screw is expressed as Helix Angle = atan((Number of Threads*Pitch)/(pi*Mean Diameter of Screw)). Here is an example- 5148.885 = atan((16*5)/(pi*0.06)).

How to calculate Helix Angle for Multi-Threaded Screw?

With Number of Threads (n), Pitch (P_s) & Mean Diameter of Screw (d) we can find Helix Angle for Multi-Threaded Screw using the formula - Helix Angle = atan((Number of Threads*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(Pitch/(pi*Mean Diameter of Screw))

Can the Helix Angle for Multi-Threaded Screw be negative?

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

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

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

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Helix Angle for Multi-Threaded Screw Formula

​GoHelix Angle Formula

​GoHelix Angle for Single Threaded Screw Formula

Helix Angle for Multi-Threaded Screw Example

Helix Angle for Multi-Threaded Screw Solution

Helix Angle for Multi-Threaded Screw Formula Elements

Other Formulas to find Helix Angle

Other formulas in Screw and Nut category

How to Evaluate Helix Angle for Multi-Threaded Screw?

FAQs on Helix Angle for Multi-Threaded Screw

Variable Name

GoHelix Angle Formula

GoHelix Angle for Single Threaded Screw Formula