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Lead of Power Screw is the linear travel the nut makes per one screw revolution and is how power screws are typically specified. Check FAQs
L=tan(α)⋅π⋅dm
L - Lead of Power Screw?α - Helix angle of screw?dm - Mean Diameter of Power Screw?π - Archimedes' constant?

Lead of Screw given Helix angle Example

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With units
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Here is how the Lead of Screw given Helix angle equation looks like with Values.

Here is how the Lead of Screw given Helix angle equation looks like with Units.

Here is how the Lead of Screw given Helix angle equation looks like.

11.3734Edit=tan(4.5Edit)⋅3.1416⋅46Edit
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Lead of Screw given Helix angle Solution

Follow our step by step solution on how to calculate Lead of Screw given Helix angle?

FIRST Step Consider the formula
L=tan(α)⋅π⋅dm
Next Step Substitute values of Variables
∴ L=tan(4.5°)⋅π⋅46mm
Next Step Substitute values of Constants
∴ L=tan(4.5°)⋅3.1416⋅46mm
Next Step Convert Units
∴ L=tan(0.0785rad)⋅3.1416⋅0.046m
Next Step Prepare to Evaluate
∴ L=tan(0.0785)⋅3.1416⋅0.046
Next Step Evaluate
∴L=0.011373440383317m
Next Step Convert to Output's Unit
∴L=11.373440383317mm
LAST Step Rounding Answer
∴L=11.3734mm

Lead of Screw given Helix angle Formula Elements

Variables
Constants
Functions
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 ScrewOpen Variable
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 screwOpen Variable
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: dm
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Formulas to find Mean Diameter of Power ScrewOpen Variable
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)

Other Formulas to find Lead of Power Screw

​Go Lead of Screw given Overall Efficiency
L=2⋅π⋅η⋅MttWa

Other formulas in Design of Screw and Nut category

​Go Core Diameter of Power Screw
dc=d-p
​Go Nominal Diameter of Power Screw
d=dc+p
​Go Pitch of Power Screw
p=d-dc
​Go Mean Diameter of Power Screw
dm=d-0.5⋅p

How to Evaluate Lead of Screw given Helix angle?

Lead of Screw given Helix angle evaluator uses Lead of Power Screw = tan(Helix angle of screw)*pi*Mean Diameter of Power Screw to evaluate the Lead of Power Screw, Lead of Screw given Helix angle formula 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. Lead of Power Screw is denoted by L symbol.

How to evaluate Lead of Screw given Helix angle using this online evaluator? To use this online evaluator for Lead of Screw given Helix angle, enter Helix angle of screw (α) & Mean Diameter of Power Screw (dm) and hit the calculate button.

FAQs on Lead of Screw given Helix angle

What is the formula to find Lead of Screw given Helix angle?
The formula of Lead of Screw given Helix angle is expressed as Lead of Power Screw = tan(Helix angle of screw)*pi*Mean Diameter of Power Screw. Here is an example- 11373.44 = tan(0.0785398163397301)*pi*0.046.
How to calculate Lead of Screw given Helix angle?
With Helix angle of screw (α) & Mean Diameter of Power Screw (dm) we can find Lead of Screw given Helix angle using the formula - Lead of Power Screw = tan(Helix angle of screw)*pi*Mean Diameter of Power Screw. This formula also uses Archimedes' constant and Tangent (tan) function(s).
What are the other ways to Calculate Lead of Power Screw?
Here are the different ways to Calculate Lead of Power Screw-
  • Lead of Power Screw=2*pi*Efficiency of power screw*Torsional Moment on Screw/Axial load on screwOpenImg
Can the Lead of Screw given Helix angle be negative?
No, the Lead of Screw given Helix angle, measured in Length cannot be negative.
Which unit is used to measure Lead of Screw given Helix angle?
Lead of Screw given Helix angle is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Lead of Screw given Helix angle can be measured.
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