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

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

GoCoefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw 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{(2 \cdot \frac{Mt li}{d m}) - W \cdot \tan (α)}{W - (2 \cdot \frac{Mt li}{d m}) \cdot \tan (α)}

μ - Coefficient of friction at screw thread?Mt_li - Torque for lifting load?d_m - Mean Diameter of Power Screw?W - Load on screw?α - Helix angle of screw?

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

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Here is how the Coefficient of Friction of Power Screw given Torque Required to Lift Load equation looks like with Values.

Here is how the Coefficient of Friction of Power Screw given Torque Required to Lift Load equation looks like with Units.

Here is how the Coefficient of Friction of Power Screw given Torque Required to Lift Load equation looks like.

0.1613 = \frac{(2 \cdot \frac{9265}{46}) - 1700 \cdot \tan (4.5)}{1700 - (2 \cdot \frac{9265}{46}) \cdot \tan (4.5)}

0.1613 = \frac{(2 \cdot \frac{9265N*mm}{46mm}) - 1700N \cdot \tan (4.5°)}{1700N - (2 \cdot \frac{9265N*mm}{46mm}) \cdot \tan (4.5°)}

0.1613 = \frac{(2 \cdot \frac{9265}{46}) - 1700 \cdot \tan (4.5)}{1700 - (2 \cdot \frac{9265}{46}) \cdot \tan (4.5)}

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

Follow our step by step solution on how to calculate Coefficient of Friction of Power Screw given Torque Required to Lift Load?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

μ = \frac{(2 \cdot \frac{9265N*mm}{46mm}) - 1700N \cdot \tan (4.5°)}{1700N - (2 \cdot \frac{9265N*mm}{46mm}) \cdot \tan (4.5°)}

Next Step Convert Units

∴

μ = \frac{(2 \cdot \frac{9.265N*m}{0.046m}) - 1700N \cdot \tan (0.0785rad)}{1700N - (2 \cdot \frac{9.265N*m}{0.046m}) \cdot \tan (0.0785rad)}

Next Step Prepare to Evaluate

∴

μ = \frac{(2 \cdot \frac{9.265}{0.046}) - 1700 \cdot \tan (0.0785)}{1700 - (2 \cdot \frac{9.265}{0.046}) \cdot \tan (0.0785)}

Next Step Evaluate

∴

μ = 0.16126217428742

LAST Step Rounding Answer

∴

μ = 0.1613

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

Torque for lifting load

Torque for lifting load is described as the turning effect of force on the axis of rotation that is required in lifting the load.

Symbol: Mt_li

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Torque for lifting load

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

Load on screw

Load on screw is defined as the weight (force) of the body that is acted upon the screw threads.

Symbol: W

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Load on screw

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

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 for Screw Thread given Efficiency of Square Threaded Screw

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

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 of Power Screw given Torque Required to Lift Load?

Coefficient of Friction of Power Screw given Torque Required to Lift Load evaluator uses 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)) to evaluate the Coefficient of friction at screw thread, Coefficient of Friction of Power Screw given Torque Required to Lift Load formula is defined as the ratio of the force required to move two sliding surfaces over each other, and the force holding them together. Coefficient of friction at screw thread is denoted by μ symbol.

How to evaluate Coefficient of Friction of Power Screw given Torque Required to Lift Load using this online evaluator? To use this online evaluator for Coefficient of Friction of Power Screw given Torque Required to Lift Load, enter Torque for lifting load (Mt_li), Mean Diameter of Power Screw (d_m), Load on screw (W) & Helix angle of screw (α) and hit the calculate button.

FAQs on Coefficient of Friction of Power Screw given Torque Required to Lift Load

What is the formula to find Coefficient of Friction of Power Screw given Torque Required to Lift Load?

The formula of Coefficient of Friction of Power Screw given Torque Required to Lift Load is expressed as 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)). Here is an example- 0.161262 = ((2*9.265/0.046)-1700*tan(0.0785398163397301))/(1700-(2*9.265/0.046)*tan(0.0785398163397301)).

How to calculate Coefficient of Friction of Power Screw given Torque Required to Lift Load?

With Torque for lifting load (Mt_li), Mean Diameter of Power Screw (d_m), Load on screw (W) & Helix angle of screw (α) we can find Coefficient of Friction of Power Screw given Torque Required to Lift Load using the formula - 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)). 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=(tan(Helix angle of screw)*(1-Efficiency of power screw))/(tan(Helix angle of screw)*tan(Helix angle of screw)+Efficiency of power screw)

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

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

​GoCoefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw Formula

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

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

Coefficient of Friction of Power Screw given Torque Required to Lift Load Formula Elements

Other Formulas to find Coefficient of friction at screw thread

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

How to Evaluate Coefficient of Friction of Power Screw given Torque Required to Lift Load?

FAQs on Coefficient of Friction of Power Screw given Torque Required to Lift Load

Variable Name

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

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