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Efficiency of Screw Jack when only Screw Friction is Considered Formula

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

GoMaximum Efficiency of Screw Jack 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{\tan (ψ)}{\tan (ψ + Φ)}

η - Efficiency?ψ - Helix Angle?Φ - Limiting Angle of Friction?

Efficiency of Screw Jack when only Screw Friction is Considered Example

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Here is how the Efficiency of Screw Jack when only Screw Friction is Considered equation looks like with Values.

Here is how the Efficiency of Screw Jack when only Screw Friction is Considered equation looks like with Units.

Here is how the Efficiency of Screw Jack when only Screw Friction is Considered equation looks like.

0.6077 = \frac{\tan (25)}{\tan (25 + 12.5)}

0.6077 = \frac{\tan (25°)}{\tan (25° + 12.5°)}

0.6077 = \frac{\tan (25)}{\tan (25 + 12.5)}

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Efficiency of Screw Jack when only Screw Friction is Considered Solution

Follow our step by step solution on how to calculate Efficiency of Screw Jack when only Screw Friction is Considered?

FIRST Step Consider the formula

η = \frac{\tan (ψ)}{\tan (ψ + Φ)}

Next Step Substitute values of Variables

∴

η = \frac{\tan (25°)}{\tan (25° + 12.5°)}

Next Step Convert Units

∴

η = \frac{\tan (0.4363rad)}{\tan (0.4363rad + 0.2182rad)}

Next Step Prepare to Evaluate

∴

η = \frac{\tan (0.4363)}{\tan (0.4363 + 0.2182)}

Next Step Evaluate

∴

η = 0.607703971657782

LAST Step Rounding Answer

∴

η = 0.6077

Efficiency of Screw Jack when only Screw Friction is Considered 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

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

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

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 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 Maximum Efficiency of Screw Jack

η = \frac{1 - \sin (Φ)}{1 + \sin (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 Efficiency of Screw Jack when only Screw Friction is Considered?

Efficiency of Screw Jack when only Screw Friction is Considered evaluator uses Efficiency = tan(Helix Angle)/tan(Helix Angle+Limiting Angle of Friction) to evaluate the Efficiency, The efficiency of screw jack when only screw friction is considered is a measurable concept that can be determined using the ratio of useful output to total input. Efficiency is denoted by η symbol.

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

FAQs on Efficiency of Screw Jack when only Screw Friction is Considered

What is the formula to find Efficiency of Screw Jack when only Screw Friction is Considered?

The formula of Efficiency of Screw Jack when only Screw Friction is Considered is expressed as Efficiency = tan(Helix Angle)/tan(Helix Angle+Limiting Angle of Friction). Here is an example- 0.607704 = tan(0.4363323129985)/tan(0.4363323129985+0.21816615649925).

How to calculate Efficiency of Screw Jack when only Screw Friction is Considered?

With Helix Angle (ψ) & Limiting Angle of Friction (Φ) we can find Efficiency of Screw Jack when only Screw Friction is Considered using the formula - Efficiency = tan(Helix Angle)/tan(Helix Angle+Limiting Angle of Friction). This formula also uses Tangent (tan) 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=(1-sin(Limiting Angle of Friction))/(1+sin(Limiting Angle of Friction))

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