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Efficiency of Screw Jack Formula

GoEfficiency of Differential Screw Jack Formula

GoEfficiency of Worm Geared Screw Jack Formula

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Efficiency is the ratio of mechanical advantage to velocity ratio. Check FAQs

η = \frac{\tan (ψ)}{\tan (ψ + θ)} \cdot 100

η - Efficiency?ψ - Helix Angle?θ - Angle of Friction?

Efficiency of Screw Jack Example

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

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

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

0.8398 = \frac{\tan (12.9)}{\tan (12.9 + 75)} \cdot 100

0.8398 = \frac{\tan (12.9°)}{\tan (12.9° + 75°)} \cdot 100

0.8398 = \frac{\tan (12.9)}{\tan (12.9 + 75)} \cdot 100

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Efficiency of Screw Jack Solution

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

FIRST Step Consider the formula

η = \frac{\tan (ψ)}{\tan (ψ + θ)} \cdot 100

Next Step Substitute values of Variables

∴

η = \frac{\tan (12.9°)}{\tan (12.9° + 75°)} \cdot 100

Next Step Convert Units

∴

η = \frac{\tan (0.2251rad)}{\tan (0.2251rad + 1.309rad)} \cdot 100

Next Step Prepare to Evaluate

∴

η = \frac{\tan (0.2251)}{\tan (0.2251 + 1.309)} \cdot 100

Next Step Evaluate

∴

η = 0.839816990900808

LAST Step Rounding Answer

∴

η = 0.8398

Efficiency of Screw Jack Formula Elements

Variables

Functions

Efficiency

Efficiency is the ratio of mechanical advantage to velocity ratio.

Symbol: η

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Efficiency

Helix Angle

Helix Angle is the angle between any helix and an axial line on its right, circular cylinder, or cone.

Symbol: ψ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Helix Angle

Angle of Friction

Angle of Friction is the angle of a plane to the horizontal when a body placed on the plane will just start to slide.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle of Friction

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 Efficiency

Go Efficiency of Differential Screw Jack

η = \frac{M a}{V i}

Go Efficiency of Worm Geared Screw Jack

η = \frac{M a}{V i}

Other formulas in Screw Jack category

Go Torque Required while Load is Ascending in Screw Jack

T asc = \frac{d m}{2} \cdot W \cdot \tan (θ + Φ)

Go Torque Required while Load is Descending in Screw Jack

T des = \frac{d m}{2} \cdot W \cdot \tan (θ - Φ)

Go Velocity Ratio of Simple Screw Jack

V i = \frac{2 \cdot π \cdot l}{P s}

Go Velocity Ratio of Differential Screw Jack

V i = \frac{2 \cdot π \cdot l}{p a - p b}

How to Evaluate Efficiency of Screw Jack?

Efficiency of Screw Jack evaluator uses Efficiency = tan(Helix Angle)/(tan(Helix Angle+Angle of Friction))*100 to evaluate the Efficiency, Efficiency of Screw Jack measures how effectively it converts the input work (effort applied) into useful output work (lifting the load). This efficiency takes into account friction losses and other mechanical factors. Efficiency is denoted by η symbol.

How to evaluate Efficiency of Screw Jack using this online evaluator? To use this online evaluator for Efficiency of Screw Jack, enter Helix Angle (ψ) & Angle of Friction (θ) and hit the calculate button.

FAQs on Efficiency of Screw Jack

What is the formula to find Efficiency of Screw Jack?

The formula of Efficiency of Screw Jack is expressed as Efficiency = tan(Helix Angle)/(tan(Helix Angle+Angle of Friction))*100. Here is an example- 0.839817 = tan(0.225147473507226)/(tan(0.225147473507226+1.3089969389955))*100.

How to calculate Efficiency of Screw Jack?

With Helix Angle (ψ) & Angle of Friction (θ) we can find Efficiency of Screw Jack using the formula - Efficiency = tan(Helix Angle)/(tan(Helix Angle+Angle of Friction))*100. This formula also uses Tangent function(s).

What are the other ways to Calculate Efficiency?

Here are the different ways to Calculate Efficiency-

Efficiency=Mechanical Advantage/Velocity Ratio
Efficiency=Mechanical Advantage/Velocity Ratio

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