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Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw Formula

GoCoefficient of Friction of Power Screw given Effort Required to Lift Load Formula

GoCoefficient of Friction of Power Screw given Torque Required to Lift Load Formula

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Coefficient of friction at screw thread is the ratio defining the force that resists the motion of the nut in relation to the threads in contact with it. Check FAQs

μ = \frac{\tan (α) \cdot (1 - η)}{\tan (α) \cdot \tan (α) + η}

μ - Coefficient of friction at screw thread?α - Helix angle of screw?η - Efficiency of power screw?

Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw Example

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Here is how the Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw equation looks like with Values.

Here is how the Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw equation looks like with Units.

Here is how the Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw equation looks like.

0.1436 = \frac{\tan (4.5) \cdot (1 - 0.35)}{\tan (4.5) \cdot \tan (4.5) + 0.35}

0.1436 = \frac{\tan (4.5°) \cdot (1 - 0.35)}{\tan (4.5°) \cdot \tan (4.5°) + 0.35}

0.1436 = \frac{\tan (4.5) \cdot (1 - 0.35)}{\tan (4.5) \cdot \tan (4.5) + 0.35}

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Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw Solution

Follow our step by step solution on how to calculate Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw?

FIRST Step Consider the formula

μ = \frac{\tan (α) \cdot (1 - η)}{\tan (α) \cdot \tan (α) + η}

Next Step Substitute values of Variables

∴

μ = \frac{\tan (4.5°) \cdot (1 - 0.35)}{\tan (4.5°) \cdot \tan (4.5°) + 0.35}

Next Step Convert Units

∴

μ = \frac{\tan (0.0785rad) \cdot (1 - 0.35)}{\tan (0.0785rad) \cdot \tan (0.0785rad) + 0.35}

Next Step Prepare to Evaluate

∴

μ = \frac{\tan (0.0785) \cdot (1 - 0.35)}{\tan (0.0785) \cdot \tan (0.0785) + 0.35}

Next Step Evaluate

∴

μ = 0.143618689179505

LAST Step Rounding Answer

∴

μ = 0.1436

Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw Formula Elements

Variables

Functions

Coefficient of friction at screw thread

Coefficient of friction at screw thread is the ratio defining the force that resists the motion of the nut in relation to the threads in contact with it.

Symbol: μ

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of friction at screw thread

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

Efficiency of power screw

Efficiency of power screw refers to how well it converts rotary energy into linear energy or motion.

Symbol: η

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Efficiency of power screw

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 Coefficient of friction at screw thread

Go Coefficient of Friction of Power Screw given Effort Required to Lift Load

μ = \frac{P li - W \cdot \tan (α)}{W + P li \cdot \tan (α)}

Go Coefficient of Friction of Power Screw given Torque Required to Lift Load

μ = \frac{(2 \cdot \frac{Mt li}{d m}) - W \cdot \tan (α)}{W - (2 \cdot \frac{Mt li}{d m}) \cdot \tan (α)}

Other formulas in Torque Requirement in Lifting Load using Square Threaded Screw category

Go Effort Required in Lifting load using Power Screw

P li = W \cdot (\frac{μ + \tan (α)}{1 - μ \cdot \tan (α)})

Go Load on Power Screw given Effort Required to Lift Load

W = \frac{P li}{\frac{μ + \tan (α)}{1 - μ \cdot \tan (α)}}

Go Helix Angle of Power Screw given Effort Required to Lift Load

α = a \tan (\frac{P li - W \cdot μ}{P li \cdot μ + W})

Go Torque Required to Lift Load given Effort

Mt li = P li \cdot \frac{d m}{2}

How to Evaluate Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw?

Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw evaluator uses Coefficient of friction at screw thread = (tan(Helix angle of screw)*(1-Efficiency of power screw))/(tan(Helix angle of screw)*tan(Helix angle of screw)+Efficiency of power screw) to evaluate the Coefficient of friction at screw thread, Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw formula is defined as the ratio of the tangential force that is needed to start or to maintain uniform relative motion between two contacting surfaces to the perpendicular force holding them in contact. Coefficient of friction at screw thread is denoted by μ symbol.

How to evaluate Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw using this online evaluator? To use this online evaluator for Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw, enter Helix angle of screw (α) & Efficiency of power screw (η) and hit the calculate button.

FAQs on Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw

What is the formula to find Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw?

The formula of Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw is expressed as Coefficient of friction at screw thread = (tan(Helix angle of screw)*(1-Efficiency of power screw))/(tan(Helix angle of screw)*tan(Helix angle of screw)+Efficiency of power screw). Here is an example- 0.143619 = (tan(0.0785398163397301)*(1-0.35))/(tan(0.0785398163397301)*tan(0.0785398163397301)+0.35).

How to calculate Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw?

With Helix angle of screw (α) & Efficiency of power screw (η) we can find Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw using the formula - Coefficient of friction at screw thread = (tan(Helix angle of screw)*(1-Efficiency of power screw))/(tan(Helix angle of screw)*tan(Helix angle of screw)+Efficiency of power screw). This formula also uses Tangent (tan) function(s).

What are the other ways to Calculate Coefficient of friction at screw thread?

Here are the different ways to Calculate Coefficient of friction at screw thread-

Coefficient of friction at screw thread=(Effort in lifting load-Load on screw*tan(Helix angle of screw))/(Load on screw+Effort in lifting load*tan(Helix angle of screw))
Coefficient of friction at screw thread=((2*Torque for lifting load/Mean Diameter of Power Screw)-Load on screw*tan(Helix angle of screw))/(Load on screw-(2*Torque for lifting load/Mean Diameter of Power Screw)*tan(Helix angle of screw))

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