Efficiency of Screw Jack Calculator

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✖Helix Angle is the angle between any helix and an axial line on its right, circular cylinder, or cone.ⓘ Helix Angle [ψ]			+10% -10%
✖The angle of friction is the angle of a plane to the horizontal when a body placed on the plane will just start to slide.ⓘ Angle of Friction [θ]			+10% -10%

✖Efficiency is the ratio of mechanical advantage to velocity ratio.ⓘ Efficiency of Screw Jack [η]

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Formula

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Efficiency of Screw Jack

Formula

`"η" = tan("ψ")/(tan("ψ"+"θ"))*100`

Example

`"0.839817"=tan("12.9°")/(tan("12.9°"+"75°"))*100`

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Efficiency of Screw Jack Solution

STEP 0: Pre-Calculation Summary

Formula Used

Efficiency = tan(Helix Angle)/(tan(Helix Angle+Angle of Friction))*100
η = tan(ψ)/(tan(ψ+θ))*100
This formula uses 1 Functions, 3 Variables

Functions Used

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., tan(Angle)

Variables Used

Efficiency - Efficiency is the ratio of mechanical advantage to velocity ratio.
Helix Angle - (Measured in Radian) - Helix Angle is the angle between any helix and an axial line on its right, circular cylinder, or cone.
Angle of Friction - (Measured in Radian) - The angle of friction is the angle of a plane to the horizontal when a body placed on the plane will just start to slide.

STEP 1: Convert Input(s) to Base Unit

Helix Angle: 12.9 Degree --> 0.225147473507226 Radian (Check conversion here)
Angle of Friction: 75 Degree --> 1.3089969389955 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η = tan(ψ)/(tan(ψ+θ))*100 --> tan(0.225147473507226)/(tan(0.225147473507226+1.3089969389955))*100

Evaluating ... ...

η = 0.839816990900808

STEP 3: Convert Result to Output's Unit

0.839816990900808 --> No Conversion Required

FINAL ANSWER

0.839816990900808 ≈ 0.839817 <-- Efficiency

(Calculation completed in 00.004 seconds)

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Created by Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

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< 10+ Screw Jack Calculators

Torque Required while Load is Descending in Screw Jack

Go Torque Required while Load is Descending = Mean Diameter of Screw/2*Load*tan(Angle of Friction-Limiting Angle of Friction)

Torque Required while Load is Ascending in Screw Jack

Go Torque Required while Load is Ascending = Mean Diameter of Screw/2*Load*tan(Angle of Friction+Limiting Angle of Friction)

Velocity Ratio of Worm Geared Screw Jack with Multiple Threads

Go Velocity Ratio = (2*pi*Radius of Effort Wheel*Number of Teeth on Worm Wheel)/(Number of Threads*Pitch)

Efficiency of Screw Jack

Go Efficiency = tan(Helix Angle)/(tan(Helix Angle+Angle of Friction))*100

Velocity Ratio of Worm Geared Screw Jack with Double Threaded

Go Velocity Ratio = (2*pi*Radius of Effort Wheel*Number of Teeth on Worm Wheel)/(2*Pitch)

Velocity Ratio of Worm Geared Screw Jack

Go Velocity Ratio = (2*pi*Radius of Effort Wheel*Number of Teeth in Screw Shaft)/Pitch

Velocity Ratio of Differential Screw Jack

Go Velocity Ratio = (2*pi*Length of Lever Arm)/(Pitch of Screw A-Pitch of Screw B)

Velocity Ratio of Simple Screw Jack

Go Velocity Ratio = (2*pi*Length of Lever Arm)/Pitch

Efficiency of Differential Screw Jack

Go Efficiency = Mechanical Advantage/Velocity Ratio

Efficiency of Worm Geared Screw Jack

Go Efficiency = Mechanical Advantage/Velocity Ratio

Efficiency of Screw Jack Formula

Efficiency = tan(Helix Angle)/(tan(Helix Angle+Angle of Friction))*100
η = tan(ψ)/(tan(ψ+θ))*100

What is efficiency?

Efficiency is the ratio of the useful work performed by a machine to the total energy used by a machine.

How to Calculate Efficiency of Screw Jack?

Efficiency of Screw Jack calculator uses Efficiency = tan(Helix Angle)/(tan(Helix Angle+Angle of Friction))*100 to calculate the Efficiency, The Efficiency of screw jack formula is defined as the ratio of tan of helix angle to the tan of sum of helix angle and angle of friction. Efficiency is denoted by η symbol.

How to calculate Efficiency of Screw Jack using this online calculator? To use this online calculator for Efficiency of Screw Jack, enter Helix Angle (ψ) & Angle of Friction (θ) and hit the calculate button. Here is how the Efficiency of Screw Jack calculation can be explained with given input values -> 43.25635 = tan(0.225147473507226)/(tan(0.225147473507226+1.3089969389955))*100.

FAQ

What is Efficiency of Screw Jack?

The Efficiency of screw jack formula is defined as the ratio of tan of helix angle to the tan of sum of helix angle and angle of friction and is represented as η = tan(ψ)/(tan(ψ+θ))*100 or Efficiency = tan(Helix Angle)/(tan(Helix Angle+Angle of Friction))*100. Helix Angle is the angle between any helix and an axial line on its right, circular cylinder, or cone & The angle of friction is the angle of a plane to the horizontal when a body placed on the plane will just start to slide.

How to calculate Efficiency of Screw Jack?

The Efficiency of screw jack formula is defined as the ratio of tan of helix angle to the tan of sum of helix angle and angle of friction is calculated using Efficiency = tan(Helix Angle)/(tan(Helix Angle+Angle of Friction))*100. To calculate Efficiency of Screw Jack, you need Helix Angle (ψ) & Angle of Friction (θ). With our tool, you need to enter the respective value for Helix Angle & Angle of Friction and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Efficiency?

In this formula, Efficiency uses Helix Angle & Angle of Friction. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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