Inclination of Resultant of Two Forces Acting on Particle Calculator

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✖Second force acting on an object in th system of forces.ⓘ Second Force [F₂]			+10% -10%
✖Angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Angle [θ]			+10% -10%
✖First force acting on a object in th system of forces.ⓘ First Force [F₁]			+10% -10%

✖Inclination of Resultant forces is defined as inclination of resultant of two forces acting on particle.ⓘ Inclination of Resultant of Two Forces Acting on Particle [α]

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Inclination of Resultant of Two Forces Acting on Particle

Formula

`"α" = atan(("F"_{"2"}*sin("θ"))/("F"_{"1"}+"F"_{"2"}*cos("θ")))`

Example

`"2.647362°"=atan(("12N"*sin("16°"))/("60N"+"12N"*cos("16°")))`

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Inclination of Resultant of Two Forces Acting on Particle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inclination of Resultant forces = atan((Second Force*sin(Angle))/(First Force+Second Force*cos(Angle)))
α = atan((F₂*sin(θ))/(F₁+F₂*cos(θ)))
This formula uses 4 Functions, 4 Variables

Functions Used

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., sin(Angle)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., 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., 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., atan(Number)

Variables Used

Inclination of Resultant forces - (Measured in Radian) - Inclination of Resultant forces is defined as inclination of resultant of two forces acting on particle.
Second Force - (Measured in Newton) - Second force acting on an object in th system of forces.
Angle - (Measured in Radian) - Angle that can be defined as the figure formed by two rays meeting at a common endpoint.
First Force - (Measured in Newton) - First force acting on a object in th system of forces.

STEP 1: Convert Input(s) to Base Unit

Second Force: 12 Newton --> 12 Newton No Conversion Required
Angle: 16 Degree --> 0.27925268031904 Radian (Check conversion here)
First Force: 60 Newton --> 60 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α = atan((F₂*sin(θ))/(F₁+F₂*cos(θ))) --> atan((12*sin(0.27925268031904))/(60+12*cos(0.27925268031904)))

Evaluating ... ...

α = 0.046205180629911

STEP 3: Convert Result to Output's Unit

0.046205180629911 Radian -->2.64736184173402 Degree (Check conversion here)

FINAL ANSWER

2.64736184173402 ≈ 2.647362 Degree <-- Inclination of Resultant forces

(Calculation completed in 00.004 seconds)

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< 14 Mechanics and Statistics of Materials Calculators

Inclination of Resultant of Two Forces Acting on Particle

Go Inclination of Resultant forces = atan((Second Force*sin(Angle))/(First Force+Second Force*cos(Angle)))

Resultant of Two Forces acting on Particle with Angle

Go Parallel Resultant Force = sqrt(First Force^2+2*First Force*Second Force*cos(Angle)+Second Force^2)

Radius of gyration given moment of inertia and area

Go Radius of Gyration = sqrt(Rotational Inertia/Area of Cross-Section)

Resolution of Force with Angle along Horizontal Direction

Go Horizontal Component of Force = Force at Angle*cos(Angle)

Resolution of Force with Angle along Vertical Direction

Go Vertical component of force = Force at Angle*sin(Angle)

Resultant of Two Forces Acting on Particle at 90 Degrees

Go Resultant force = sqrt(First Force^2+Second Force^2)

Moment of Force

Go Moment of force = Force*Perpendicular Distance between Force and Point

Moment of Couple

Go Moment of Couple = Force*Perpendicular Distance between Two Forces

Moment of inertia given radius of gyration

Go Rotational Inertia = Area of Cross-Section*Radius of Gyration^2

Resultant of Two Forces Acting on Particle at 0 Degrees

Go Parallel Resultant Force = First Force+Second Force

Moment of inertia of circle about diametrical axis

Go Rotational Inertia = (pi*Diameter of Circle^4)/64

Resultant of Two like Parallel Forces

Go Parallel Resultant Force = First Force+Second Force

Resultant of Two Unlike Parallel Forces Unequal in Magnitude

Go Resultant force = First Force-Second Force

Resultant of Two Forces Acting on Particle at 180 Degrees

Go Resultant force = First Force-Second Force

Inclination of Resultant of Two Forces Acting on Particle Formula

Inclination of Resultant forces = atan((Second Force*sin(Angle))/(First Force+Second Force*cos(Angle)))
α = atan((F₂*sin(θ))/(F₁+F₂*cos(θ)))

What is inclination of the resultant and resultant force?

Inclination of resultant is the angle made by resultant with first force. Resultant force is the single force and associated torque obtained by combining a system of forces and torques acting on a rigid body.

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

Inclination of Resultant of Two Forces Acting on Particle calculator uses Inclination of Resultant forces = atan((Second Force*sin(Angle))/(First Force+Second Force*cos(Angle))) to calculate 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 calculate Inclination of Resultant of Two Forces Acting on Particle using this online calculator? To use this online calculator for Inclination of Resultant of Two Forces Acting on Particle, enter Second Force (F₂), Angle (θ) & First Force (F₁) and hit the calculate button. Here is how the Inclination of Resultant of Two Forces Acting on Particle calculation can be explained with given input values -> 151.6827 = atan((12*sin(0.27925268031904))/(60+12*cos(0.27925268031904))).

FAQ

What is Inclination of Resultant of Two Forces Acting on Particle?

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) and is represented as α = atan((F₂*sin(θ))/(F₁+F₂*cos(θ))) or Inclination of Resultant forces = atan((Second Force*sin(Angle))/(First Force+Second Force*cos(Angle))). Second force acting on an object in th system of forces, Angle that can be defined as the figure formed by two rays meeting at a common endpoint & First force acting on a object in th system of forces.

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

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) is calculated using Inclination of Resultant forces = atan((Second Force*sin(Angle))/(First Force+Second Force*cos(Angle))). To calculate Inclination of Resultant of Two Forces Acting on Particle, you need Second Force (F₂), Angle (θ) & First Force (F₁). With our tool, you need to enter the respective value for Second Force, Angle & First Force 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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