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

✖Weight is a body's relative mass or the quantity of matter contained by it.ⓘ Weight [W]			+10% -10%
✖Helix Angle is the angle between any helix and an axial line on its right, circular cylinder, or cone.ⓘ Helix Angle [ψ]			+10% -10%
✖Mean diameter of Screw is the distance from the outer thread on one side to the outer thread on the other side.ⓘ Mean Diameter of Screw [d]			+10% -10%
✖Load is the weight of body lifted by screw jack.ⓘ Load [W_l]			+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%
✖Coefficient of Friction For Collar is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.ⓘ Coefficient of Friction For Collar [μ_c]			+10% -10%
✖Mean Radius of Collar is the mean of inner and outer radius of collar.ⓘ Mean Radius of Collar [R_c]			+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 Screw Friction as well as Collar Friction Considered [η]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
η = (W*tan(ψ)*d)/(W_l*tan(ψ+Φ)*d+μ_c*W_l*R_c)
This formula uses 1 Functions, 8 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.
Weight - (Measured in Kilogram) - Weight is a body's relative mass or the quantity of matter contained by it.
Helix Angle - (Measured in Radian) - Helix Angle is the angle between any helix and an axial line on its right, circular cylinder, or cone.
Mean Diameter of Screw - (Measured in Meter) - Mean diameter of Screw is the distance from the outer thread on one side to the outer thread on the other side.
Load - (Measured in Newton) - Load is the weight of body lifted by screw jack.
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).
Coefficient of Friction For Collar - Coefficient of Friction For Collar is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.
Mean Radius of Collar - (Measured in Meter) - Mean Radius of Collar is the mean of inner and outer radius of collar.

STEP 1: Convert Input(s) to Base Unit

Weight: 60 Kilogram --> 60 Kilogram No Conversion Required
Helix Angle: 25 Degree --> 0.4363323129985 Radian (Check conversion here)
Mean Diameter of Screw: 0.06 Meter --> 0.06 Meter No Conversion Required
Load: 53 Newton --> 53 Newton No Conversion Required
Limiting Angle of Friction: 12.5 Degree --> 0.21816615649925 Radian (Check conversion here)
Coefficient of Friction For Collar: 0.16 --> No Conversion Required
Mean Radius of Collar: 0.04 Meter --> 0.04 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η = (W*tan(ψ)*d)/(W_l*tan(ψ+Φ)*d+μ_c*W_l*R_c) --> (60*tan(0.4363323129985)*0.06)/(53*tan(0.4363323129985+0.21816615649925)*0.06+0.16*53*0.04)

Evaluating ... ...

η = 0.604003769657012

STEP 3: Convert Result to Output's Unit

0.604003769657012 --> No Conversion Required

FINAL ANSWER

0.604003769657012 ≈ 0.604004 <-- Efficiency

(Calculation completed in 00.009 seconds)

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Home » Physics » Theory of Machine » Friction Devices » Mechanical » Screw Jack » Efficiency of Screw Jack when Screw Friction as well as Collar Friction Considered

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< Screw Jack Calculators

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

LaTeX 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

LaTeX 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

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

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

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

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

LaTeX Go

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.

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 which passes through a threaded block B and a handle . The distance between two consecutive thread is known as pitch of screw.

How to Calculate Efficiency of Screw Jack when Screw Friction as well as Collar Friction Considered?

Efficiency of Screw Jack when Screw Friction as well as Collar Friction Considered calculator uses 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) to calculate the Efficiency, Efficiency of screw jack when screw friction as well as collar friction considered is the quality or degree of being efficient. Efficiency is denoted by η symbol.

How to calculate Efficiency of Screw Jack when Screw Friction as well as Collar Friction Considered using this online calculator? To use this online calculator for Efficiency of Screw Jack when Screw Friction as well as Collar Friction Considered, enter Weight (W), Helix Angle (ψ), Mean Diameter of Screw (d), Load (W_l), Limiting Angle of Friction (Φ), Coefficient of Friction For Collar (μ_c) & Mean Radius of Collar (R_c) and hit the calculate button. Here is how the Efficiency of Screw Jack when Screw Friction as well as Collar Friction Considered calculation can be explained with given input values -> 0.643257 = (60*tan(0.4363323129985)*0.06)/(53*tan(0.4363323129985+0.21816615649925)*0.06+0.16*53*0.04).

FAQ

What is Efficiency of Screw Jack when Screw Friction as well as Collar Friction Considered?

Efficiency of screw jack when screw friction as well as collar friction considered is the quality or degree of being efficient and is represented as η = (W*tan(ψ)*d)/(W_l*tan(ψ+Φ)*d+μ_c*W_l*R_c) or 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). Weight is a body's relative mass or the quantity of matter contained by it, Helix Angle is the angle between any helix and an axial line on its right, circular cylinder, or cone, Mean diameter of Screw is the distance from the outer thread on one side to the outer thread on the other side, Load is the weight of body lifted by screw jack, The Limiting Angle of Friction is defined as the angle which the resultant reaction (R) makes with the normal reaction (RN), Coefficient of Friction For Collar is the ratio defining the force that resists the motion of one body in relation to another body in contact with it & Mean Radius of Collar is the mean of inner and outer radius of collar.

How to calculate Efficiency of Screw Jack when Screw Friction as well as Collar Friction Considered?

Efficiency of screw jack when screw friction as well as collar friction considered is the quality or degree of being efficient is calculated using 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). To calculate Efficiency of Screw Jack when Screw Friction as well as Collar Friction Considered, you need Weight (W), Helix Angle (ψ), Mean Diameter of Screw (d), Load (W_l), Limiting Angle of Friction (Φ), Coefficient of Friction For Collar (μ_c) & Mean Radius of Collar (R_c). With our tool, you need to enter the respective value for Weight, Helix Angle, Mean Diameter of Screw, Load, Limiting Angle of Friction, Coefficient of Friction For Collar & Mean Radius of Collar 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 Weight, Helix Angle, Mean Diameter of Screw, Load, Limiting Angle of Friction, Coefficient of Friction For Collar & Mean Radius of Collar. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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