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Slope of thread Formula

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Slope of Thread is the inclination of the thread with horizontal. Check FAQs

α = \frac{P s}{π \cdot d m}

α - Slope of Thread?P_s - Pitch?d_m - Mean Diameter of Screw?π - Archimedes' constant?

Slope of thread Example

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Here is how the Slope of thread equation looks like with Values.

Here is how the Slope of thread equation looks like with Units.

Here is how the Slope of thread equation looks like.

2.3405 = \frac{12.5}{3.1416 \cdot 1.7}

2.3405 = \frac{12.5m}{3.1416 \cdot 1.7m}

2.3405 = \frac{12.5}{3.1416 \cdot 1.7}

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Slope of thread Solution

Follow our step by step solution on how to calculate Slope of thread?

FIRST Step Consider the formula

α = \frac{P s}{π \cdot d m}

Next Step Substitute values of Variables

∴

α = \frac{12.5m}{π \cdot 1.7m}

Next Step Substitute values of Constants

∴

α = \frac{12.5m}{3.1416 \cdot 1.7m}

Next Step Prepare to Evaluate

∴

α = \frac{12.5}{3.1416 \cdot 1.7}

Next Step Evaluate

∴

α = 2.34051386899846

LAST Step Rounding Answer

∴

α = 2.3405

Slope of thread Formula Elements

Variables

Constants

Slope of Thread

Slope of Thread is the inclination of the thread with horizontal.

Symbol: α

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Slope of Thread

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_m

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

Other formulas in Screw Friction category

Go Pitch of screw

P s = \frac{L}{n}

Go Angle of inclination of thread

θ t = a \tan (\frac{P s}{π \cdot d m})

Go Slope of thread in multi-threaded screw

α m = \frac{n \cdot P s}{π \cdot d m}

How to Evaluate Slope of thread?

Slope of thread evaluator uses Slope of Thread = (Pitch)/(pi*Mean Diameter of Screw) to evaluate the Slope of Thread, Slope of thread formula is defined as a measure of the inclination of a thread, which is a critical parameter in screw threads, affecting the thread's strength, stability, and overall performance in various mechanical applications. Slope of Thread is denoted by α symbol.

How to evaluate Slope of thread using this online evaluator? To use this online evaluator for Slope of thread, enter Pitch (P_s) & Mean Diameter of Screw (d_m) and hit the calculate button.

FAQs on Slope of thread

What is the formula to find Slope of thread?

The formula of Slope of thread is expressed as Slope of Thread = (Pitch)/(pi*Mean Diameter of Screw). Here is an example- 2.340514 = (12.5)/(pi*1.7).

How to calculate Slope of thread?

With Pitch (P_s) & Mean Diameter of Screw (d_m) we can find Slope of thread using the formula - Slope of Thread = (Pitch)/(pi*Mean Diameter of Screw). This formula also uses Archimedes' constant .

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