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Efficiency of Square Threaded Power Screw Formula

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

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

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

Efficiency of Square Threaded Power Screw Example

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Here is how the Efficiency of Square Threaded Power Screw equation looks like with Values.

Here is how the Efficiency of Square Threaded Power Screw equation looks like with Units.

Here is how the Efficiency of Square Threaded Power Screw equation looks like.

0.3401 = \frac{\tan (4.5)}{\frac{0.15 + \tan (4.5)}{1 - 0.15 \cdot \tan (4.5)}}

0.3401 = \frac{\tan (4.5°)}{\frac{0.15 + \tan (4.5°)}{1 - 0.15 \cdot \tan (4.5°)}}

0.3401 = \frac{\tan (4.5)}{\frac{0.15 + \tan (4.5)}{1 - 0.15 \cdot \tan (4.5)}}

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Efficiency of Square Threaded Power Screw Solution

Follow our step by step solution on how to calculate Efficiency of Square Threaded Power Screw?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

η = \frac{\tan (4.5°)}{\frac{0.15 + \tan (4.5°)}{1 - 0.15 \cdot \tan (4.5°)}}

Next Step Convert Units

∴

η = \frac{\tan (0.0785rad)}{\frac{0.15 + \tan (0.0785rad)}{1 - 0.15 \cdot \tan (0.0785rad)}}

Next Step Prepare to Evaluate

∴

η = \frac{\tan (0.0785)}{\frac{0.15 + \tan (0.0785)}{1 - 0.15 \cdot \tan (0.0785)}}

Next Step Evaluate

∴

η = 0.340061358115195

LAST Step Rounding Answer

∴

η = 0.3401

Efficiency of Square Threaded Power Screw Formula Elements

Variables

Functions

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

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

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

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 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 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)}

How to Evaluate Efficiency of Square Threaded Power Screw?

Efficiency of Square Threaded Power Screw evaluator uses Efficiency of power screw = tan(Helix angle of screw)/((Coefficient of friction at screw thread+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*tan(Helix angle of screw))) to evaluate the Efficiency of power screw, Efficiency of Square Threaded Power Screw formula is defined as a way of describing the amount of useful output a process or machine can generate as a percentage of the input required to make it go. Efficiency of power screw is denoted by η symbol.

How to evaluate Efficiency of Square Threaded Power Screw using this online evaluator? To use this online evaluator for Efficiency of Square Threaded Power Screw, enter Helix angle of screw (α) & Coefficient of friction at screw thread (μ) and hit the calculate button.

FAQs on Efficiency of Square Threaded Power Screw

What is the formula to find Efficiency of Square Threaded Power Screw?

The formula of Efficiency of Square Threaded Power Screw is expressed as Efficiency of power screw = tan(Helix angle of screw)/((Coefficient of friction at screw thread+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*tan(Helix angle of screw))). Here is an example- 0.340061 = tan(0.0785398163397301)/((0.15+tan(0.0785398163397301))/(1-0.15*tan(0.0785398163397301))).

How to calculate Efficiency of Square Threaded Power Screw?

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

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