Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle 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 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 Lever Arms [θ]			+10% -10%

✖The Force at Lever Fulcrum Pin is the force exerted at the pivot point of a lever, crucial for understanding the lever's mechanical advantage and performance.ⓘ Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle [R_f]

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Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Force at Lever Fulcrum Pin = sqrt(Load on lever^2+Effort on Lever^2-2*Load on lever*Effort on Lever*cos(Angle Between Lever Arms))
R_f = sqrt(W^2+P^2-2*W*P*cos(θ))
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)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Force at Lever Fulcrum Pin - (Measured in Newton) - The Force at Lever Fulcrum Pin is the force exerted at the pivot point of a lever, crucial for understanding the lever's mechanical advantage and performance.
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.
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.

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
Angle Between Lever Arms: 91 Degree --> 1.58824961931454 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_f = sqrt(W^2+P^2-2*W*P*cos(θ)) --> sqrt(2945^2+310^2-2*2945*310*cos(1.58824961931454))

Evaluating ... ...

R_f = 2966.64648195792

STEP 3: Convert Result to Output's Unit

2966.64648195792 Newton --> No Conversion Required

FINAL ANSWER

2966.64648195792 ≈ 2966.646 Newton <-- Force at Lever Fulcrum Pin

(Calculation completed in 00.686 seconds)

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< Components of Lever Calculators

Bending stress in lever of rectangular cross section

LaTeX Go Bending Stress in Lever Arm = (32*(Effort on Lever*(Length of Effort Arm-Diameter of Lever Fulcrum Pin)))/(pi*Width of Lever Arm*Depth of Lever Arm^2)

Bending stress in lever of elliptical cross section given bending moment

LaTeX Go Bending Stress in Lever Arm = (32*Bending Moment in Lever)/(pi*Minor Axis of Lever Ellipse Section*Major Axis of Lever Ellipse Section^2)

Bending stress in lever of rectangular cross section given bending moment

LaTeX Go Bending Stress in Lever Arm = (32*Bending Moment in Lever)/(pi*Width of Lever Arm*(Depth of Lever Arm^2))

Maximum bending moment in lever

LaTeX Go Bending Moment in Lever = Effort on Lever*(Length of Effort Arm-Diameter of Lever Fulcrum Pin)

Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle Formula

LaTeX Go

Force at Lever Fulcrum Pin = sqrt(Load on lever^2+Effort on Lever^2-2*Load on lever*Effort on Lever*cos(Angle Between Lever Arms))
R_f = sqrt(W^2+P^2-2*W*P*cos(θ))

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 Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle?

Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle calculator uses Force at Lever Fulcrum Pin = sqrt(Load on lever^2+Effort on Lever^2-2*Load on lever*Effort on Lever*cos(Angle Between Lever Arms)) to calculate the Force at Lever Fulcrum Pin, Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle formula is defined as the force exerted by the fulcrum on the lever, considering the effort, load, and angle of application. Force at Lever Fulcrum Pin is denoted by R_f symbol.

How to calculate Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle using this online calculator? To use this online calculator for Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle, enter Load on lever (W), Effort on Lever (P) & Angle Between Lever Arms (θ) and hit the calculate button. Here is how the Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle calculation can be explained with given input values -> 2966.646 = sqrt(2945^2+310^2-2*2945*310*cos(1.58824961931454)).

FAQ

What is Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle?

Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle formula is defined as the force exerted by the fulcrum on the lever, considering the effort, load, and angle of application and is represented as R_f = sqrt(W^2+P^2-2*W*P*cos(θ)) or Force at Lever Fulcrum Pin = sqrt(Load on lever^2+Effort on Lever^2-2*Load on lever*Effort on Lever*cos(Angle Between Lever Arms)). 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 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.

How to calculate Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle?

Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle formula is defined as the force exerted by the fulcrum on the lever, considering the effort, load, and angle of application is calculated using Force at Lever Fulcrum Pin = sqrt(Load on lever^2+Effort on Lever^2-2*Load on lever*Effort on Lever*cos(Angle Between Lever Arms)). To calculate Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle, you need Load on lever (W), Effort on Lever (P) & Angle Between Lever Arms (θ). With our tool, you need to enter the respective value for Load on lever, Effort on Lever & Angle Between Lever Arms 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 at Lever Fulcrum Pin?

In this formula, Force at Lever Fulcrum Pin uses Load on lever, Effort on Lever & Angle Between Lever Arms. We can use 2 other way(s) to calculate the same, which is/are as follows -

Force at Lever Fulcrum Pin = sqrt(Load on lever^2+Effort on Lever^2)
Force at Lever Fulcrum Pin = Bearing Pressure in Fulcrum Pin of Lever*Diameter of Lever Fulcrum Pin*Length of Lever Fulcrum Pin

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