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Maximum Efficiency of Screw Jack Formula

GoEfficiency of Screw Jack when Screw Friction as well as Collar Friction Considered Formula

GoEfficiency of Screw Jack when only Screw Friction is Considered Formula

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The Efficiency of an electric motor is defined as the ratio of usable shaft power to electric input power. Check FAQs

η = \frac{1 - \sin (Φ)}{1 + \sin (Φ)}

η - Efficiency?Φ - Limiting Angle of Friction?

Maximum Efficiency of Screw Jack Example

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

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

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

0.6441 = \frac{1 - \sin (12.5)}{1 + \sin (12.5)}

0.6441 = \frac{1 - \sin (12.5°)}{1 + \sin (12.5°)}

0.6441 = \frac{1 - \sin (12.5)}{1 + \sin (12.5)}

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Maximum Efficiency of Screw Jack Solution

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

FIRST Step Consider the formula

η = \frac{1 - \sin (Φ)}{1 + \sin (Φ)}

Next Step Substitute values of Variables

∴

η = \frac{1 - \sin (12.5°)}{1 + \sin (12.5°)}

Next Step Convert Units

∴

η = \frac{1 - \sin (0.2182rad)}{1 + \sin (0.2182rad)}

Next Step Prepare to Evaluate

∴

η = \frac{1 - \sin (0.2182)}{1 + \sin (0.2182)}

Next Step Evaluate

∴

η = 0.644142444132729

LAST Step Rounding Answer

∴

η = 0.6441

Maximum Efficiency of Screw Jack Formula Elements

Variables

Functions

Efficiency

The Efficiency of an electric motor is defined as the ratio of usable shaft power to electric input power.

Symbol: η

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Efficiency

Limiting Angle of Friction

The Limiting Angle of Friction is defined as the angle which the resultant reaction (R) makes with the normal reaction (RN).

Symbol: Φ

Measurement: AngleUnit: °

Note: Value should be less than 90.

Formulas to find Limiting Angle of Friction

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)

Other Formulas to find Efficiency

Go Efficiency of Screw Jack when Screw Friction as well as Collar Friction Considered

η = \frac{W \cdot \tan (ψ) \cdot d}{W l \cdot \tan (ψ + Φ) \cdot d + μ c \cdot W l \cdot R c}

Go Efficiency of Screw Jack when only Screw Friction is Considered

η = \frac{\tan (ψ)}{\tan (ψ + Φ)}

Other formulas in Screw Jack category

Go Force Required to Lower Load by Screw Jack given Weight of Load

F = W l \cdot \frac{μ f \cdot \cos (ψ) - \sin (ψ)}{\cos (ψ) + μ f \cdot \sin (ψ)}

Go Force Required to Lower Load by Screw Jack given weight of load and Limiting angle

F = W l \cdot \tan (Φ - ψ)

Go Ideal Effort to Raise Load by Screw Jack

P o = W l \cdot \tan (ψ)

How to Evaluate Maximum Efficiency of Screw Jack?

Maximum Efficiency of Screw Jack evaluator uses Efficiency = (1-sin(Limiting Angle of Friction))/(1+sin(Limiting Angle of Friction)) to evaluate the Efficiency, Maximum efficiency of screw jack measures the degree to which friction and other factors reduce the actual work output of the screw jack from its theoretical maximum. Efficiency is denoted by η symbol.

How to evaluate Maximum Efficiency of Screw Jack using this online evaluator? To use this online evaluator for Maximum Efficiency of Screw Jack, enter Limiting Angle of Friction (Φ) and hit the calculate button.

FAQs on Maximum Efficiency of Screw Jack

What is the formula to find Maximum Efficiency of Screw Jack?

The formula of Maximum Efficiency of Screw Jack is expressed as Efficiency = (1-sin(Limiting Angle of Friction))/(1+sin(Limiting Angle of Friction)). Here is an example- 0.644142 = (1-sin(0.21816615649925))/(1+sin(0.21816615649925)).

How to calculate Maximum Efficiency of Screw Jack?

With Limiting Angle of Friction (Φ) we can find Maximum Efficiency of Screw Jack using the formula - Efficiency = (1-sin(Limiting Angle of Friction))/(1+sin(Limiting Angle of Friction)). This formula also uses Sine function(s).

What are the other ways to Calculate Efficiency?

Here are the different ways to Calculate Efficiency-

Efficiency=(Weight*tan(Helix Angle)*Mean Diameter of Screw)/(Load*tan(Helix Angle+Limiting Angle of Friction)*Mean Diameter of Screw+Coefficient of Friction For Collar*Load*Mean Radius of Collar)
Efficiency=tan(Helix Angle)/tan(Helix Angle+Limiting Angle of Friction)

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