FormulaDen.com

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

Helix Angle of Thread Formula

Fx Copy

LaTeX Copy

Helix angle of screw is defined as the angle subtended between this unwound circumferential line and the pitch of the helix. Check FAQs

α = a \tan (\frac{L}{π \cdot d m})

α - Helix angle of screw?L - Lead of Power Screw?d_m - Mean Diameter of Power Screw?π - Archimedes' constant?

Helix Angle of Thread Example

With values

With units

Only example

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

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

Here is how the Helix Angle of Thread equation looks like.

4.3528 = a \tan (\frac{11}{3.1416 \cdot 46})

4.3528° = a \tan (\frac{11mm}{3.1416 \cdot 46mm})

4.3528 = a \tan (\frac{11}{3.1416 \cdot 46})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Mechanical » Category

Machine Design » fx Helix Angle of Thread

Helix Angle of Thread Solution

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

FIRST Step Consider the formula

α = a \tan (\frac{L}{π \cdot d m})

Next Step Substitute values of Variables

∴

α = a \tan (\frac{11mm}{π \cdot 46mm})

Next Step Substitute values of Constants

∴

α = a \tan (\frac{11mm}{3.1416 \cdot 46mm})

Next Step Convert Units

∴

α = a \tan (\frac{0.011m}{3.1416 \cdot 0.046m})

Next Step Prepare to Evaluate

∴

α = a \tan (\frac{0.011}{3.1416 \cdot 0.046})

Next Step Evaluate

∴

α = 0.0759710848780631rad

Next Step Convert to Output's Unit

∴

α = 4.35282252854399°

LAST Step Rounding Answer

∴

α = 4.3528°

Helix Angle of Thread Formula Elements

Variables

Constants

Functions

Helix angle of screw

Helix angle of screw is defined as the angle subtended between this unwound circumferential line and the pitch of the helix.

Symbol: α

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Helix angle of screw

Lead of Power Screw

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

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Lead of Power Screw

Mean Diameter of Power Screw

Mean Diameter of Power Screw is the average diameter of the bearing surface - or more accurately, twice the average distance from the centreline of the thread to the bearing surface.

Symbol: d_m

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Diameter of Power 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 in Design of Screw and Nut category

Go Core Diameter of Power Screw

d c = d - p

Go Nominal Diameter of Power Screw

d = d c + p

Go Pitch of Power Screw

p = d - d c

Go Mean Diameter of Power Screw

d m = d - 0.5 \cdot p

How to Evaluate Helix Angle of Thread?

Helix Angle of Thread evaluator uses Helix angle of screw = atan(Lead of Power Screw/(pi*Mean Diameter of Power Screw)) to evaluate the Helix angle of screw, The Helix Angle of Thread formula is defined as the angle between any helix and an axial line on its right, circular cylinder or cone. Common applications are screws, helical gears, and worm gears. Helix angle of screw is denoted by α symbol.

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

FAQs on Helix Angle of Thread

What is the formula to find Helix Angle of Thread?

The formula of Helix Angle of Thread is expressed as Helix angle of screw = atan(Lead of Power Screw/(pi*Mean Diameter of Power Screw)). Here is an example- 249.3984 = atan(0.011/(pi*0.046)).

How to calculate Helix Angle of Thread?

With Lead of Power Screw (L) & Mean Diameter of Power Screw (d_m) we can find Helix Angle of Thread using the formula - Helix angle of screw = atan(Lead of Power Screw/(pi*Mean Diameter of Power Screw)). This formula also uses Archimedes' constant and , Tangent (tan), Inverse Tan (atan) function(s).

Can the Helix Angle of Thread be negative?

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

Which unit is used to measure Helix Angle of Thread?

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

Let Others Know

✖

Facebook

Twitter

Copied!

Helix Angle of Thread Formula

Helix Angle of Thread Example

Helix Angle of Thread Solution

Helix Angle of Thread Formula Elements

Other formulas in Design of Screw and Nut category

How to Evaluate Helix Angle of Thread?

FAQs on Helix Angle of Thread

Variable Name