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

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

θ = \arccos (\frac{(W^{2}) + (P^{2}) - ({R f'}^{2})}{2 \cdot W \cdot P})

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

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

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Here is how the Angle between arms of lever given effort, load and net reaction at fulcrum equation looks like with Values.

Here is how the Angle between arms of lever given effort, load and net reaction at fulcrum equation looks like with Units.

Here is how the Angle between arms of lever given effort, load and net reaction at fulcrum equation looks like.

124.7654 = \arccos (\frac{(2945^{2}) + (294^{2}) - (3122^{2})}{2 \cdot 2945 \cdot 294})

124.7654° = \arccos (\frac{({2945N}^{2}) + ({294N}^{2}) - ({3122N}^{2})}{2 \cdot 2945N \cdot 294N})

124.7654 = \arccos (\frac{(2945^{2}) + (294^{2}) - (3122^{2})}{2 \cdot 2945 \cdot 294})

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

Follow our step by step solution on how to calculate Angle between arms of lever given effort, load and net reaction at fulcrum?

FIRST Step Consider the formula

θ = \arccos (\frac{(W^{2}) + (P^{2}) - ({R f'}^{2})}{2 \cdot W \cdot P})

Next Step Substitute values of Variables

∴

θ = \arccos (\frac{({2945N}^{2}) + ({294N}^{2}) - ({3122N}^{2})}{2 \cdot 2945N \cdot 294N})

Next Step Prepare to Evaluate

∴

θ = \arccos (\frac{(2945^{2}) + (294^{2}) - (3122^{2})}{2 \cdot 2945 \cdot 294})

Next Step Evaluate

∴

θ = 2.17756703453419rad

Next Step Convert to Output's Unit

∴

θ = 124.765400685651°

LAST Step Rounding Answer

∴

θ = 124.7654°

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

Variables

Functions

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

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

Net Force at Lever Fulcrum Pin

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.

Symbol: R_f'

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Net Force at Lever Fulcrum Pin

cos

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

Syntax: 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.

Syntax: arccos(Number)

Other formulas in Lever Arm category

Go Depth of lever arm given width

d = 2 \cdot b l

Go Width of lever arm given depth

b l = \frac{d}{2}

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

a = 2 \cdot b

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

b = \frac{a}{2}

How to Evaluate 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 evaluator 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 evaluate 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 evaluate Angle between arms of lever given effort, load and net reaction at fulcrum using this online evaluator? To use this online evaluator 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.

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

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

The formula of Angle between arms of lever given effort, load and net reaction at fulcrum is expressed as 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)). Here is an example- 7148.531 = arccos(((2945^2)+(294^2)-(3122^2))/(2*2945*294)).

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

With Load on lever (W), Effort on Lever (P) & Net Force at Lever Fulcrum Pin (R_f') we can find Angle between arms of lever given effort, load and net reaction at fulcrum using the 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)). This formula also uses Cosine (cos), Inverse Cosine (arccos) function(s).

Can the Angle between arms of lever given effort, load and net reaction at fulcrum be negative?

No, the Angle between arms of lever given effort, load and net reaction at fulcrum, measured in Angle cannot be negative.

Which unit is used to measure 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 is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Angle between arms of lever given effort, load and net reaction at fulcrum can be measured.

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

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

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

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

Other formulas in Lever Arm category

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

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

Variable Name