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

STEP 0: Pre-Calculation Summary
Formula Used
Force Required = Load*(Coefficient of Friction*cos(Helix Angle)-sin(Helix Angle))/(cos(Helix Angle)+Coefficient of Friction*sin(Helix Angle))
F = Wload*(μfriction*cos(ψ)-sin(ψ))/(cos(ψ)+μfriction*sin(ψ))
This formula uses 2 Functions, 4 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)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
Variables Used
Force Required - (Measured in Newton) - Force Required is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity.
Load - (Measured in Newton) - Load is the weight of body lifted by screw jack.
Coefficient of Friction - The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with 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.
STEP 1: Convert Input(s) to Base Unit
Load: 53 Newton --> 53 Newton No Conversion Required
Coefficient of Friction: 0.4 --> No Conversion Required
Helix Angle: 8 Degree --> 0.13962634015952 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
F = Wload*(μfriction*cos(ψ)-sin(ψ))/(cos(ψ)+μfriction*sin(ψ)) --> 53*(0.4*cos(0.13962634015952)-sin(0.13962634015952))/(cos(0.13962634015952)+0.4*sin(0.13962634015952))
Evaluating ... ...
F = 13.0194310764415
STEP 3: Convert Result to Output's Unit
13.0194310764415 Newton --> No Conversion Required
FINAL ANSWER
13.0194310764415 13.01943 Newton <-- Force Required
(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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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)

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

Force Required = Load*(Coefficient of Friction*cos(Helix Angle)-sin(Helix Angle))/(cos(Helix Angle)+Coefficient of Friction*sin(Helix Angle))
F = Wload*(μfriction*cos(ψ)-sin(ψ))/(cos(ψ)+μfriction*sin(ψ))

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

Force Required to Lower Load by Screw Jack given Weight of Load calculator uses Force Required = Load*(Coefficient of Friction*cos(Helix Angle)-sin(Helix Angle))/(cos(Helix Angle)+Coefficient of Friction*sin(Helix Angle)) to calculate the Force Required, Force required to Lower Load by Screw Jack given Weight of Load is any interaction that, when unopposed, will change the motion of an object. Force Required is denoted by F symbol.

How to calculate Force Required to Lower Load by Screw Jack given Weight of Load using this online calculator? To use this online calculator for Force Required to Lower Load by Screw Jack given Weight of Load, enter Load (Wload), Coefficient of Friction friction) & Helix Angle (ψ) and hit the calculate button. Here is how the Force Required to Lower Load by Screw Jack given Weight of Load calculation can be explained with given input values -> -2.961852 = 53*(0.4*cos(0.13962634015952)-sin(0.13962634015952))/(cos(0.13962634015952)+0.4*sin(0.13962634015952)).

FAQ

What is Force Required to Lower Load by Screw Jack given Weight of Load?
Force required to Lower Load by Screw Jack given Weight of Load is any interaction that, when unopposed, will change the motion of an object and is represented as F = Wload*(μfriction*cos(ψ)-sin(ψ))/(cos(ψ)+μfriction*sin(ψ)) or Force Required = Load*(Coefficient of Friction*cos(Helix Angle)-sin(Helix Angle))/(cos(Helix Angle)+Coefficient of Friction*sin(Helix Angle)). Load is the weight of body lifted by screw jack, The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it & Helix Angle is the angle between any helix and an axial line on its right, circular cylinder, or cone.
How to calculate Force Required to Lower Load by Screw Jack given Weight of Load?
Force required to Lower Load by Screw Jack given Weight of Load is any interaction that, when unopposed, will change the motion of an object is calculated using Force Required = Load*(Coefficient of Friction*cos(Helix Angle)-sin(Helix Angle))/(cos(Helix Angle)+Coefficient of Friction*sin(Helix Angle)). To calculate Force Required to Lower Load by Screw Jack given Weight of Load, you need Load (Wload), Coefficient of Friction friction) & Helix Angle (ψ). With our tool, you need to enter the respective value for Load, Coefficient of Friction & Helix Angle 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 Force Required?
In this formula, Force Required uses Load, Coefficient of Friction & Helix Angle. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Force Required = Load*tan(Limiting Angle of Friction-Helix Angle)
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