Angle between arms of lever given effort, load and net reaction at fulcrum Calculator

✖Load on lever is the instantaneous load that is resisted by the lever.ⓘ Load on lever [W]			+10% -10%
✖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%
✖Net Force at Lever Fulcrum Pin is the force acting onto the fulcrum pin (the pivot about which a lever turns) used as a joint at a fulcrum point.ⓘ Net Force at Lever Fulcrum Pin [R_f']			+10% -10%

✖Angle Between Lever Arms is the angle between the two arms of a lever or the contained angle between the arms.ⓘ Angle between arms of lever given effort, load and net reaction at fulcrum [θ]

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Angle between arms of lever given effort, load and net reaction at fulcrum

Formula

`"θ" = arccos((("W"^2)+("P"^2)-(("R"_{"f"}"'")^2))/(2*"W"*"P"))`

Example

`"124.7654°"=arccos(((("2945N")^2)+(("294N")^2)-(("3122N")^2))/(2*"2945N"*"294N"))`

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Angle between arms of lever given effort, load and net reaction at fulcrum Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
θ = arccos(((W^2)+(P^2)-(R_f'^2))/(2*W*P))
This formula uses 2 Functions, 4 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
arccos - Arccosine function, is the inverse function of the cosine function.It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio., arccos(Number)

Variables Used

Angle Between Lever Arms - (Measured in Radian) - Angle Between Lever Arms is the angle between the two arms of a lever or the contained angle between the arms.
Load on lever - (Measured in Newton) - Load on lever is the instantaneous load that is resisted by the lever.
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.
Net Force at Lever Fulcrum Pin - (Measured in Newton) - Net Force at Lever Fulcrum Pin is the force acting onto the fulcrum pin (the pivot about which a lever turns) used as a joint at a fulcrum point.

STEP 1: Convert Input(s) to Base Unit

Load on lever: 2945 Newton --> 2945 Newton No Conversion Required
Effort on Lever: 294 Newton --> 294 Newton No Conversion Required
Net Force at Lever Fulcrum Pin: 3122 Newton --> 3122 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = arccos(((W^2)+(P^2)-(R_f'^2))/(2*W*P)) --> arccos(((2945^2)+(294^2)-(3122^2))/(2*2945*294))

Evaluating ... ...

θ = 2.17756703453419

STEP 3: Convert Result to Output's Unit

2.17756703453419 Radian -->124.765400685651 Degree (Check conversion here)

FINAL ANSWER

124.765400685651 ≈ 124.7654 Degree <-- Angle Between Lever Arms

(Calculation completed in 00.004 seconds)

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< 11 Lever Arm Calculators

Angle between arms of lever given effort, load and net reaction at fulcrum

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

Angle between arms of lever given effort, load and net reaction at fulcrum Formula

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))
θ = arccos(((W^2)+(P^2)-(R_f'^2))/(2*W*P))

What do you mean by leverage mechanics?

Also, leverage is the mechanical advantage gained in a system. It is one of the six simple machines identified by Renaissance scientists. A lever amplifies an input force to provide a greater output force, which is said to provide leverage.

How to Calculate Angle between arms of lever given effort, load and net reaction at fulcrum?

Angle between arms of lever given effort, load and net reaction at fulcrum calculator uses 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)) to calculate the Angle Between Lever Arms, The Angle between arms of lever given effort, load and net reaction at fulcrum is the angle between the two arms of the lever. Angle Between Lever Arms is denoted by θ symbol.

How to calculate Angle between arms of lever given effort, load and net reaction at fulcrum using this online calculator? To use this online calculator for Angle between arms of lever given effort, load and net reaction at fulcrum, enter Load on lever (W), Effort on Lever (P) & Net Force at Lever Fulcrum Pin (R_f') and hit the calculate button. Here is how the Angle between arms of lever given effort, load and net reaction at fulcrum calculation can be explained with given input values -> 7148.531 = arccos(((2945^2)+(294^2)-(3122^2))/(2*2945*294)).

FAQ

What is Angle between arms of lever given effort, load and net reaction at fulcrum?

The Angle between arms of lever given effort, load and net reaction at fulcrum is the angle between the two arms of the lever and is represented as θ = arccos(((W^2)+(P^2)-(R_f'^2))/(2*W*P)) or 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)). Load on lever is the instantaneous load that is resisted by the 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 & Net Force at Lever Fulcrum Pin is the force acting onto the fulcrum pin (the pivot about which a lever turns) used as a joint at a fulcrum point.

How to calculate Angle between arms of lever given effort, load and net reaction at fulcrum?

The Angle between arms of lever given effort, load and net reaction at fulcrum is the angle between the two arms of the lever is calculated using 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)). To calculate Angle between arms of lever given effort, load and net reaction at fulcrum, you need Load on lever (W), Effort on Lever (P) & Net Force at Lever Fulcrum Pin (R_f'). With our tool, you need to enter the respective value for Load on lever, Effort on Lever & Net Force at Lever Fulcrum Pin and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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