Length of Load Arm given Load and Effort Calculator

✖Effort on Lever is the force applied on the input of the lever to overcome the resistance to get the work done by the machine.ⓘ Effort on Lever [P]			+10% -10%
✖Length of effort arm is defined as the length of the arm of the lever onto which the effort force is applied.ⓘ Length of Effort Arm [l₁]			+10% -10%
✖Load on lever is the instantaneous load that is resisted by the lever.ⓘ Load on lever [W]			+10% -10%

✖Length of Load Arm is the length of the arm of a lever on the end on which the load is exerted.ⓘ Length of Load Arm given Load and Effort [l₂]

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Formula

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Length of Load Arm given Load and Effort

Formula

`"l"_{"2"} = "P"*"l"_{"1"}/"W"`

Example

`"89.8472mm"="294N"*"900mm"/"2945N"`

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Length of Load Arm given Load and Effort Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Load Arm = Effort on Lever*Length of Effort Arm/Load on lever
l₂ = P*l₁/W
This formula uses 4 Variables

Variables Used

Length of Load Arm - (Measured in Meter) - Length of Load Arm is the length of the arm of a lever on the end on which the load is exerted.
Effort on Lever - (Measured in Newton) - Effort on Lever is the force applied on the input of the lever to overcome the resistance to get the work done by the machine.
Length of Effort Arm - (Measured in Meter) - Length of effort arm is defined as the length of the arm of the lever onto which the effort force is applied.
Load on lever - (Measured in Newton) - Load on lever is the instantaneous load that is resisted by the lever.

STEP 1: Convert Input(s) to Base Unit

Effort on Lever: 294 Newton --> 294 Newton No Conversion Required
Length of Effort Arm: 900 Millimeter --> 0.9 Meter (Check conversion here)
Load on lever: 2945 Newton --> 2945 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l₂ = P*l₁/W --> 294*0.9/2945

Evaluating ... ...

l₂ = 0.0898471986417657

STEP 3: Convert Result to Output's Unit

0.0898471986417657 Meter -->89.8471986417657 Millimeter (Check conversion here)

FINAL ANSWER

89.8471986417657 ≈ 89.8472 Millimeter <-- Length of Load Arm

(Calculation completed in 00.004 seconds)

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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Verified by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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< 11 Lever Arm Calculators

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Go Angle Between Lever Arms = arccos(((Load on lever^2)+(Effort on Lever^2)-(Net Force at Lever Fulcrum Pin^2))/(2*Load on lever*Effort on Lever))

Length of effort arm of lever given bending moment

Go Length of Effort Arm = (Diameter of Lever Fulcrum Pin)+(Bending Moment in Lever/Effort on Lever)

Length of Effort Arm given Load and Effort

Go Length of Effort Arm = Load on lever*Length of Load Arm/Effort on Lever

Length of Load Arm given Load and Effort

Go Length of Load Arm = Effort on Lever*Length of Effort Arm/Load on lever

Length of Effort Arm given Leverage

Go Length of Effort Arm = Length of Load Arm*Mechanical Advantage of Lever

Length of Load Arm given Leverage

Go Length of Load Arm = Length of Effort Arm/Mechanical Advantage of Lever

Length of major axis for elliptical cross sectioned lever given minor axis

Go Major Axis of Lever Ellipse Section = 2*Minor Axis of Lever Ellipse Section

Length of minor axis for elliptical cross sectioned lever given major axis

Go Minor Axis of Lever Ellipse Section = Major Axis of Lever Ellipse Section/2

Outside diameter of boss in lever

Go Outside Diameter of Lever Boss = 2*Diameter of Lever Fulcrum Pin

Depth of lever arm given width

Go Depth of Lever Arm = 2*Width of Lever Arm

Width of lever arm given depth

Go Width of Lever Arm = Depth of Lever Arm/2

Length of Load Arm given Load and Effort Formula

Length of Load Arm = Effort on Lever*Length of Effort Arm/Load on lever
l₂ = P*l₁/W

What is lever?

A lever is defined as a mechanical device in the form of a rigid bar pivoted about the fulcrum to multiply or transfer the force.

How to Calculate Length of Load Arm given Load and Effort?

Length of Load Arm given Load and Effort calculator uses Length of Load Arm = Effort on Lever*Length of Effort Arm/Load on lever to calculate the Length of Load Arm, The Length of Load Arm given Load and Effort formula is defined as the ratio of the product of effort and length of effort arm to load. Length of Load Arm is denoted by l₂ symbol.

How to calculate Length of Load Arm given Load and Effort using this online calculator? To use this online calculator for Length of Load Arm given Load and Effort, enter Effort on Lever (P), Length of Effort Arm (l₁) & Load on lever (W) and hit the calculate button. Here is how the Length of Load Arm given Load and Effort calculation can be explained with given input values -> 89847.2 = 294*0.9/2945.

FAQ

What is Length of Load Arm given Load and Effort?

The Length of Load Arm given Load and Effort formula is defined as the ratio of the product of effort and length of effort arm to load and is represented as l₂ = P*l₁/W or Length of Load Arm = Effort on Lever*Length of Effort Arm/Load on lever. Effort on Lever is the force applied on the input of the lever to overcome the resistance to get the work done by the machine, Length of effort arm is defined as the length of the arm of the lever onto which the effort force is applied & Load on lever is the instantaneous load that is resisted by the lever.

How to calculate Length of Load Arm given Load and Effort?

The Length of Load Arm given Load and Effort formula is defined as the ratio of the product of effort and length of effort arm to load is calculated using Length of Load Arm = Effort on Lever*Length of Effort Arm/Load on lever. To calculate Length of Load Arm given Load and Effort, you need Effort on Lever (P), Length of Effort Arm (l₁) & Load on lever (W). With our tool, you need to enter the respective value for Effort on Lever, Length of Effort Arm & Load on lever 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 Length of Load Arm?

In this formula, Length of Load Arm uses Effort on Lever, Length of Effort Arm & Load on lever. We can use 1 other way(s) to calculate the same, which is/are as follows -

Length of Load Arm = Length of Effort Arm/Mechanical Advantage of Lever

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