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Inclination of Resultant of Two Forces Acting on Particle Formula

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Inclination of Resultant forces is defined as inclination of resultant of two forces acting on particle. Check FAQs

α = a \tan (\frac{F 2 \cdot \sin (θ)}{F 1 + F 2 \cdot \cos (θ)})

α - Inclination of Resultant forces?F₂ - Second Force?θ - Angle?F₁ - First Force?

Inclination of Resultant of Two Forces Acting on Particle Example

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Here is how the Inclination of Resultant of Two Forces Acting on Particle equation looks like with Values.

Here is how the Inclination of Resultant of Two Forces Acting on Particle equation looks like with Units.

Here is how the Inclination of Resultant of Two Forces Acting on Particle equation looks like.

2.6474 = a \tan (\frac{12 \cdot \sin (16)}{60 + 12 \cdot \cos (16)})

2.6474° = a \tan (\frac{12N \cdot \sin (16°)}{60N + 12N \cdot \cos (16°)})

2.6474 = a \tan (\frac{12 \cdot \sin (16)}{60 + 12 \cdot \cos (16)})

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Inclination of Resultant of Two Forces Acting on Particle Solution

Follow our step by step solution on how to calculate Inclination of Resultant of Two Forces Acting on Particle?

FIRST Step Consider the formula

α = a \tan (\frac{F 2 \cdot \sin (θ)}{F 1 + F 2 \cdot \cos (θ)})

Next Step Substitute values of Variables

∴

α = a \tan (\frac{12N \cdot \sin (16°)}{60N + 12N \cdot \cos (16°)})

Next Step Convert Units

∴

α = a \tan (\frac{12N \cdot \sin (0.2793rad)}{60N + 12N \cdot \cos (0.2793rad)})

Next Step Prepare to Evaluate

∴

α = a \tan (\frac{12 \cdot \sin (0.2793)}{60 + 12 \cdot \cos (0.2793)})

Next Step Evaluate

∴

α = 0.046205180629911rad

Next Step Convert to Output's Unit

∴

α = 2.64736184173402°

LAST Step Rounding Answer

∴

α = 2.6474°

Inclination of Resultant of Two Forces Acting on Particle Formula Elements

Variables

Functions

Inclination of Resultant forces

Inclination of Resultant forces is defined as inclination of resultant of two forces acting on particle.

Symbol: α

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Inclination of Resultant forces

Second Force

Second force acting on an object in th system of forces.

Symbol: F₂

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Second Force

Angle

Angle that can be defined as the figure formed by two rays meeting at a common endpoint.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle

First Force

First force acting on a object in th system of forces.

Symbol: F₁

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find First Force

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

cos

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

Syntax: cos(Angle)

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

atan

Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle.

Syntax: atan(Number)

Other formulas in Mechanics and Statistics of Materials category

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k G = \sqrt{\frac{I r}{A}}

Go Moment of inertia given radius of gyration

I r = A \cdot {k G}^{2}

Go Moment of inertia of circle about diametrical axis

I r = \frac{π \cdot d^{4}}{64}

Go Resultant of Two Forces acting on Particle with Angle

R par = \sqrt{{F 1}^{2} + 2 \cdot F 1 \cdot F 2 \cdot \cos (θ) + {F 2}^{2}}

How to Evaluate Inclination of Resultant of Two Forces Acting on Particle?

Inclination of Resultant of Two Forces Acting on Particle evaluator uses Inclination of Resultant forces = atan((Second Force*sin(Angle))/(First Force+Second Force*cos(Angle))) to evaluate the Inclination of Resultant forces, The Inclination of resultant of two forces acting on particle formula is defined as the ratio of F1 multiplied by sine(θ) to the sum of F1 and F2 multiplied by cos(θ). Inclination of Resultant forces is denoted by α symbol.

How to evaluate Inclination of Resultant of Two Forces Acting on Particle using this online evaluator? To use this online evaluator for Inclination of Resultant of Two Forces Acting on Particle, enter Second Force (F₂), Angle (θ) & First Force (F₁) and hit the calculate button.

FAQs on Inclination of Resultant of Two Forces Acting on Particle

What is the formula to find Inclination of Resultant of Two Forces Acting on Particle?

The formula of Inclination of Resultant of Two Forces Acting on Particle is expressed as Inclination of Resultant forces = atan((Second Force*sin(Angle))/(First Force+Second Force*cos(Angle))). Here is an example- 151.6827 = atan((12*sin(0.27925268031904))/(60+12*cos(0.27925268031904))).

How to calculate Inclination of Resultant of Two Forces Acting on Particle?

With Second Force (F₂), Angle (θ) & First Force (F₁) we can find Inclination of Resultant of Two Forces Acting on Particle using the formula - Inclination of Resultant forces = atan((Second Force*sin(Angle))/(First Force+Second Force*cos(Angle))). This formula also uses Sine (sin)Cosine (cos)Tangent (tan), Inverse Tan (atan) function(s).

Can the Inclination of Resultant of Two Forces Acting on Particle be negative?

Yes, the Inclination of Resultant of Two Forces Acting on Particle, measured in Angle can be negative.

Which unit is used to measure Inclination of Resultant of Two Forces Acting on Particle?

Inclination of Resultant of Two Forces Acting on Particle is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Inclination of Resultant of Two Forces Acting on Particle can be measured.

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Inclination of Resultant of Two Forces Acting on Particle Formula

Inclination of Resultant of Two Forces Acting on Particle Example

Inclination of Resultant of Two Forces Acting on Particle Solution

Inclination of Resultant of Two Forces Acting on Particle Formula Elements

Other formulas in Mechanics and Statistics of Materials category

How to Evaluate Inclination of Resultant of Two Forces Acting on Particle?

FAQs on Inclination of Resultant of Two Forces Acting on Particle

Variable Name