Maximum Efficiency of Screw Jack Calculator

✖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]

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

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Formula

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Maximum Efficiency of Screw Jack

Formula

`"η" = (1-sin("Φ"))/(1+sin("Φ"))`

Example

`"0.644142"=(1-sin("12.5°"))/(1+sin("12.5°"))`

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Maximum Efficiency of Screw Jack Solution

STEP 0: Pre-Calculation Summary

Formula Used

Efficiency = (1-sin(Limiting Angle of Friction))/(1+sin(Limiting Angle of Friction))
η = (1-sin(Φ))/(1+sin(Φ))
This formula uses 1 Functions, 2 Variables

Functions Used

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., sin(Angle)

Variables Used

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

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η = (1-sin(Φ))/(1+sin(Φ)) --> (1-sin(0.21816615649925))/(1+sin(0.21816615649925))

Evaluating ... ...

η = 0.644142444132729

STEP 3: Convert Result to Output's Unit

0.644142444132729 --> No Conversion Required

FINAL ANSWER

0.644142444132729 ≈ 0.644142 <-- Efficiency

(Calculation completed in 00.020 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)

Maximum Efficiency of Screw Jack Formula

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

What is the maximum efficiency of a machine?

The efficiency of any machine measures the degree to which friction and other factors reduce the actual work output of the machine from its theoretical maximum. A frictionless machine would have an efficiency of 100%. A machine with an efficiency of 20% has an output of only one-fifth of its theoretical output.

What is a simple screw jack?

A screw jack is a simple machine. It is used to lift cars or heavy automobiles. It consists of a long screw rod that passes through a threaded block B and a handle. The distance between two consecutive threads is known as the pitch of the screw.

How to Calculate Maximum Efficiency of Screw Jack?

Maximum Efficiency of Screw Jack calculator uses Efficiency = (1-sin(Limiting Angle of Friction))/(1+sin(Limiting Angle of Friction)) to calculate 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 calculate Maximum Efficiency of Screw Jack using this online calculator? To use this online calculator for Maximum Efficiency of Screw Jack, enter Limiting Angle of Friction (Φ) and hit the calculate button. Here is how the Maximum Efficiency of Screw Jack calculation can be explained with given input values -> 0.333333 = (1-sin(0.21816615649925))/(1+sin(0.21816615649925)).

FAQ

What is Maximum Efficiency of Screw Jack?

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 and is represented as η = (1-sin(Φ))/(1+sin(Φ)) or Efficiency = (1-sin(Limiting Angle of Friction))/(1+sin(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).

How to calculate Maximum Efficiency of Screw Jack?

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 is calculated using Efficiency = (1-sin(Limiting Angle of Friction))/(1+sin(Limiting Angle of Friction)). To calculate Maximum Efficiency of Screw Jack, you need Limiting Angle of Friction (Φ). With our tool, you need to enter the respective value for 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 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 = tan(Helix Angle)/tan(Helix Angle+Limiting Angle of Friction)

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