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

✖The Load on lever is the force applied to a lever, affecting its balance and mechanical advantage in various machine design applications.ⓘ Load on lever [W]			+10% -10%
✖The Effort on Lever is the force applied to a lever to lift or move a load, demonstrating the principles of mechanical advantage in lever systems.ⓘ Effort on Lever [P]			+10% -10%
✖The Net Force at Lever Fulcrum Pin is the total force acting at the fulcrum of a lever, influencing its stability and performance in mechanical design.ⓘ Net Force at Lever Fulcrum Pin [R_f']			+10% -10%

✖The Angle Between Lever Arms is the measure of the angle formed between two lever arms, which affects the mechanical advantage and efficiency of the lever system.ⓘ 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 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) - The Angle Between Lever Arms is the measure of the angle formed between two lever arms, which affects the mechanical advantage and efficiency of the lever system.
Load on lever - (Measured in Newton) - The Load on lever is the force applied to a lever, affecting its balance and mechanical advantage in various machine design applications.
Effort on Lever - (Measured in Newton) - The Effort on Lever is the force applied to a lever to lift or move a load, demonstrating the principles of mechanical advantage in lever systems.
Net Force at Lever Fulcrum Pin - (Measured in Newton) - The Net Force at Lever Fulcrum Pin is the total force acting at the fulcrum of a lever, influencing its stability and performance in mechanical design.

STEP 1: Convert Input(s) to Base Unit

Load on lever: 2945 Newton --> 2945 Newton No Conversion Required
Effort on Lever: 310 Newton --> 310 Newton No Conversion Required
Net Force at Lever Fulcrum Pin: 2966.646 Newton --> 2966.646 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+310^2-2966.646^2)/(2*2945*310))

Evaluating ... ...

θ = 1.58824805294571

STEP 3: Convert Result to Output's Unit

1.58824805294571 Radian -->90.9999102536769 Degree (Check conversion here)

FINAL ANSWER

90.9999102536769 ≈ 90.99991 Degree <-- Angle Between Lever Arms

(Calculation completed in 00.004 seconds)

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< Lever Arm Calculators

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

LaTeX 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 major axis for elliptical cross sectioned lever given minor axis

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

Depth of lever arm given width

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

Width of lever arm given depth

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

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

LaTeX 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))
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, Angle between arms of lever given effort, load and net reaction at fulcrum formula is defined as the measure of the angle between the effort and load arms of a lever, considering the net reaction at the fulcrum. 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 -> 5213.911 = arccos((2945^2+310^2-2966.646^2)/(2*2945*310)).

FAQ

What is 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 formula is defined as the measure of the angle between the effort and load arms of a lever, considering the net reaction at the fulcrum 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)). The Load on lever is the force applied to a lever, affecting its balance and mechanical advantage in various machine design applications, The Effort on Lever is the force applied to a lever to lift or move a load, demonstrating the principles of mechanical advantage in lever systems & The Net Force at Lever Fulcrum Pin is the total force acting at the fulcrum of a lever, influencing its stability and performance in mechanical design.

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 formula is defined as the measure of the angle between the effort and load arms of a lever, considering the net reaction at the fulcrum 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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