Efficiency of Screw Jack when only Screw Friction is Considered Calculator

✖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 Limiting Angle of Friction is defined as the angle which the resultant reaction (R) makes with the normal reaction (RN).ⓘ Limiting Angle of Friction [Φ]			+10% -10%

✖The Efficiency of an electric motor is defined as the ratio of usable shaft power to electric input power.ⓘ Efficiency of Screw Jack when only Screw Friction is Considered [η]

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Formula

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Efficiency of Screw Jack when only Screw Friction is Considered

Formula

`"η" = tan("ψ")/tan("ψ"+"Φ")`

Example

`"0.375894"=tan("8°")/tan("8°"+"12.5°")`

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Efficiency of Screw Jack when only Screw Friction is Considered Solution

STEP 0: Pre-Calculation Summary

Formula Used

Efficiency = tan(Helix Angle)/tan(Helix Angle+Limiting Angle of Friction)
η = tan(ψ)/tan(ψ+Φ)
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 - The Efficiency of an electric motor is defined as the ratio of usable shaft power to electric input power.
Helix Angle - (Measured in Radian) - Helix Angle is the angle between any helix and an axial line on its right, circular cylinder, or cone.
Limiting Angle of Friction - (Measured in Radian) - The Limiting Angle of Friction is defined as the angle which the resultant reaction (R) makes with the normal reaction (RN).

STEP 1: Convert Input(s) to Base Unit

Helix Angle: 8 Degree --> 0.13962634015952 Radian (Check conversion here)
Limiting Angle of Friction: 12.5 Degree --> 0.21816615649925 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η = tan(ψ)/tan(ψ+Φ) --> tan(0.13962634015952)/tan(0.13962634015952+0.21816615649925)

Evaluating ... ...

η = 0.375893537269438

STEP 3: Convert Result to Output's Unit

0.375893537269438 --> No Conversion Required

FINAL ANSWER

0.375893537269438 ≈ 0.375894 <-- Efficiency

(Calculation completed in 00.004 seconds)

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< 6 Screw Jack Calculators

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

Go 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)

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

Go Force Required = Load*(Coefficient of Friction*cos(Helix Angle)-sin(Helix Angle))/(cos(Helix Angle)+Coefficient of Friction*sin(Helix Angle))

Efficiency of Screw Jack when only Screw Friction is Considered

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

Maximum Efficiency of Screw Jack

Go Efficiency = (1-sin(Limiting Angle of Friction))/(1+sin(Limiting Angle of Friction))

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

Go Force Required = Load*tan(Limiting Angle of Friction-Helix Angle)

Ideal Effort to Raise Load by Screw Jack

Go Ideal Effort = Load*tan(Helix Angle)

Efficiency of Screw Jack when only Screw Friction is Considered Formula

Efficiency = tan(Helix Angle)/tan(Helix Angle+Limiting Angle of Friction)
η = tan(ψ)/tan(ψ+Φ)

What does efficiency mean?

Efficiency requires reducing the number of unnecessary resources used to produce a given output including personal time and energy. It is a measurable concept that can be determined using the ratio of useful output to total input.

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

Efficiency of Screw Jack when only Screw Friction is Considered calculator uses Efficiency = tan(Helix Angle)/tan(Helix Angle+Limiting Angle of Friction) to calculate 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 calculate Efficiency of Screw Jack when only Screw Friction is Considered using this online calculator? To use this online calculator 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. Here is how the Efficiency of Screw Jack when only Screw Friction is Considered calculation can be explained with given input values -> 0.607704 = tan(0.13962634015952)/tan(0.13962634015952+0.21816615649925).

FAQ

What is Efficiency of Screw Jack when only Screw Friction is Considered?

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 and is represented as η = tan(ψ)/tan(ψ+Φ) or Efficiency = tan(Helix Angle)/tan(Helix Angle+Limiting Angle of Friction). Helix Angle is the angle between any helix and an axial line on its right, circular cylinder, or cone & The Limiting Angle of Friction is defined as the angle which the resultant reaction (R) makes with the normal reaction (RN).

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

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 is calculated using Efficiency = tan(Helix Angle)/tan(Helix Angle+Limiting Angle of Friction). To calculate Efficiency of Screw Jack when only Screw Friction is Considered, you need Helix Angle (ψ) & Limiting Angle of Friction (Φ). With our tool, you need to enter the respective value for Helix Angle & Limiting 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 & Limiting Angle of Friction. We can use 2 other way(s) to calculate the same, which is/are as follows -

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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