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Maximum Efficiency of Square Threaded Screw Formula

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Maximum Efficiency of Power Screw is defined as the maximum amount of Power that is usefully transferred by the power screw. Check FAQs

η max = \frac{1 - \sin (a \tan (μ))}{1 + \sin (a \tan (μ))}

η_max - Maximum Efficiency of Power Screw?μ - Coefficient of friction at screw thread?

Maximum Efficiency of Square Threaded Screw Example

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

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

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

0.7416 = \frac{1 - \sin (a \tan (0.15))}{1 + \sin (a \tan (0.15))}

0.7416 = \frac{1 - \sin (a \tan (0.15))}{1 + \sin (a \tan (0.15))}

0.7416 = \frac{1 - \sin (a \tan (0.15))}{1 + \sin (a \tan (0.15))}

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Maximum Efficiency of Square Threaded Screw Solution

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

FIRST Step Consider the formula

η max = \frac{1 - \sin (a \tan (μ))}{1 + \sin (a \tan (μ))}

Next Step Substitute values of Variables

∴

η max = \frac{1 - \sin (a \tan (0.15))}{1 + \sin (a \tan (0.15))}

Next Step Prepare to Evaluate

∴

η max = \frac{1 - \sin (a \tan (0.15))}{1 + \sin (a \tan (0.15))}

Next Step Evaluate

∴

η max = 0.74164377375765

LAST Step Rounding Answer

∴

η max = 0.7416

Maximum Efficiency of Square Threaded Screw Formula Elements

Variables

Functions

Maximum Efficiency of Power Screw

Maximum Efficiency of Power Screw is defined as the maximum amount of Power that is usefully transferred by the power screw.

Symbol: η_max

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Maximum Efficiency of Power 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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

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)

atan

Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle.

Syntax: atan(Number)

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 Maximum Efficiency of Square Threaded Screw?

Maximum Efficiency of Square Threaded Screw evaluator uses Maximum Efficiency of Power Screw = (1-sin(atan(Coefficient of friction at screw thread)))/(1+sin(atan(Coefficient of friction at screw thread))) to evaluate the Maximum Efficiency of Power Screw, The Maximum Efficiency of Square Threaded Screw formula is defined as a measurement of how much of the desired work or product is obtained from each unit of energy invested into that task or product. Maximum Efficiency of Power Screw is denoted by η_max symbol.

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

FAQs on Maximum Efficiency of Square Threaded Screw

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

The formula of Maximum Efficiency of Square Threaded Screw is expressed as Maximum Efficiency of Power Screw = (1-sin(atan(Coefficient of friction at screw thread)))/(1+sin(atan(Coefficient of friction at screw thread))). Here is an example- 0.741644 = (1-sin(atan(0.15)))/(1+sin(atan(0.15))).

How to calculate Maximum Efficiency of Square Threaded Screw?

With Coefficient of friction at screw thread (μ) we can find Maximum Efficiency of Square Threaded Screw using the formula - Maximum Efficiency of Power Screw = (1-sin(atan(Coefficient of friction at screw thread)))/(1+sin(atan(Coefficient of friction at screw thread))). This formula also uses Sine (sin)Tangent (tan), Inverse Tan (atan) function(s).

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