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

GoReaction Force at Fulcrum of Right Angled Lever Formula

GoReaction Force at Fulcrum of Lever given Bearing Pressure Formula

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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. Check FAQs

R f = \sqrt{W^{2} + P^{2} - 2 \cdot W \cdot P \cdot \cos (θ)}

R_f - Force at Lever Fulcrum Pin?W - Load on lever?P - Effort on Lever?θ - Angle Between Lever Arms?

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

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Here is how the Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle equation looks like with Values.

Here is how the Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle equation looks like with Units.

Here is how the Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle equation looks like.

3159.7357 = \sqrt{2945^{2} + 294^{2} - 2 \cdot 2945 \cdot 294 \cdot \cos (135)}

3159.7357N = \sqrt{{2945N}^{2} + {294N}^{2} - 2 \cdot 2945N \cdot 294N \cdot \cos (135°)}

3159.7357 = \sqrt{2945^{2} + 294^{2} - 2 \cdot 2945 \cdot 294 \cdot \cos (135)}

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

Follow our step by step solution on how to calculate Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle?

FIRST Step Consider the formula

R f = \sqrt{W^{2} + P^{2} - 2 \cdot W \cdot P \cdot \cos (θ)}

Next Step Substitute values of Variables

∴

R f = \sqrt{{2945N}^{2} + {294N}^{2} - 2 \cdot 2945N \cdot 294N \cdot \cos (135°)}

Next Step Convert Units

∴

R f = \sqrt{{2945N}^{2} + {294N}^{2} - 2 \cdot 2945N \cdot 294N \cdot \cos (2.3562rad)}

Next Step Prepare to Evaluate

∴

R f = \sqrt{2945^{2} + 294^{2} - 2 \cdot 2945 \cdot 294 \cdot \cos (2.3562)}

Next Step Evaluate

∴

R f = 3159.73567386719N

LAST Step Rounding Answer

∴

R f = 3159.7357N

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

Variables

Functions

Force at Lever Fulcrum Pin

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.

Symbol: R_f

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force at Lever Fulcrum Pin

Load on lever

Load on lever is the instantaneous load that is resisted by the lever.

Symbol: W

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Load on lever

Effort 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.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Effort on Lever

Angle Between Lever Arms

Angle Between Lever Arms is the angle between the two arms of a lever or the contained angle between the arms.

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle Between Lever Arms

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: 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.

Syntax: sqrt(Number)

Other Formulas to find Force at Lever Fulcrum Pin

Go Reaction Force at Fulcrum of Right Angled Lever

R f = \sqrt{W^{2} + P^{2}}

Go Reaction Force at Fulcrum of Lever given Bearing Pressure

R f = P b \cdot d 1 \cdot l f

Other formulas in Components of Lever category

Go Maximum bending moment in lever

M b = P \cdot ((l 1) - (d 1))

Go Bending stress in lever of rectangular cross section given bending moment

σ b = \frac{32 \cdot M b}{π \cdot b l \cdot (d^{2})}

Go Bending stress in lever of rectangular cross section

σ b = \frac{32 \cdot (P \cdot ((l 1) - (d 1)))}{π \cdot b l \cdot (d^{2})}

Go Bending stress in lever of elliptical cross section given bending moment

σ b = \frac{32 \cdot M b}{π \cdot b \cdot (a^{2})}

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

Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle evaluator 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 evaluate the Force at Lever Fulcrum Pin, The Reaction force at fulcrum of lever given effort, load and contained angle is the reaction force acting onto the fulcrum of the lever as a result of the effort force and the applied force by the lever. Force at Lever Fulcrum Pin is denoted by R_f symbol.

How to evaluate Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle using this online evaluator? To use this online evaluator 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.

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

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

The formula of Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle is expressed as 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)). Here is an example- 3159.736 = sqrt(2945^2+294^2-2*2945*294*cos(2.3561944901919)).

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

With Load on lever (W), Effort on Lever (P) & Angle Between Lever Arms (θ) we can find Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle using the formula - 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)). This formula also uses Cosine (cos), Square Root (sqrt) function(s).

What are the other ways to Calculate Force at Lever Fulcrum Pin?

Here are the different ways to Calculate Force at Lever Fulcrum Pin-

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

Can the Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle be negative?

No, the Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle, measured in Force cannot be negative.

Which unit is used to measure Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle?

Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle can be measured.

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

​GoReaction Force at Fulcrum of Right Angled Lever Formula

​GoReaction Force at Fulcrum of Lever given Bearing Pressure Formula

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

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

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

Other Formulas to find Force at Lever Fulcrum Pin

Other formulas in Components of Lever category

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

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

Variable Name

GoReaction Force at Fulcrum of Right Angled Lever Formula

GoReaction Force at Fulcrum of Lever given Bearing Pressure Formula