Credits

Institute of Aeronautical Engineering (IARE), Hyderabad
Chilvera Bhanu Teja has created this Calculator and 200+ more calculators!
Dayananda Sagar College of Engineering (DSCE), Bengaluru
Sagar S Kulkarni has verified this Calculator and 200+ more calculators!

Inclination of resultant of two forces acting on particle Solution

STEP 0: Pre-Calculation Summary
Formula Used
theta_degrees = atan((Second force*sin(Theta))/(First Force+Second force*cos(Theta)))
θ = atan((F2*sin(ϑ))/(F1+F2*cos(ϑ)))
This formula uses 4 Functions, 3 Variables
Functions Used
sin - Trigonometric sine function, sin(Angle)
cos - Trigonometric cosine function, cos(Angle)
tan - Trigonometric tangent function, tan(Angle)
atan - Inverse trigonometric tangent function, atan(Number)
Variables Used
Second force - Second force acting on an object in th system of forces. (Measured in Newton)
Theta - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint. (Measured in Degree)
First Force - First force acting on a object in th system of forces. (Measured in Newton)
STEP 1: Convert Input(s) to Base Unit
Second force: 48 Newton --> 48 Newton No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
First Force: 15 Newton --> 15 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
θ = atan((F2*sin(ϑ))/(F1+F2*cos(ϑ))) --> atan((48*sin(0.5235987755982))/(15+48*cos(0.5235987755982)))
Evaluating ... ...
θ = 0.401242839715827
STEP 3: Convert Result to Output's Unit
0.401242839715827 Radian -->22.9895212755654 Degree (Check conversion here)
FINAL ANSWER
22.9895212755654 Degree <-- Angle
(Calculation completed in 00.016 seconds)

10+ Statics of particles Calculators

Inclination of resultant of two forces acting on particle
theta_degrees = atan((Second force*sin(Theta))/(First Force+Second force*cos(Theta))) Go
Resultant of two forces acting on particle with an angle
resultant = sqrt(First Force^2+(2*First Force*Second force*cos(Angle between two forces))+Second force^2) Go
Moment of force
moment_of_force = Force*Perpendicular distance between Force and a point Go
Resultant of two forces acting on particle at 90 degrees
resultant = sqrt(First Force^2+Second force^2) Go
Resolution of force with angle along horizontal direction
horizantal_force = Force*cos(Angle) Go
Resolution of force with angle along vertical direction
vertical_force = Force*sin(Angle) Go
Resultant of two unlike parallel forces unequal in magnitude
resultant = First Force-Second force Go
Resultant of two forces acting on particle at 180 degrees
resultant = First Force-Second force Go
Resultant of two forces acting on particle at 0 degrees
resultant = First Force+Second force Go
Resultant of two like parallel forces
resultant = First Force+Second force Go

Inclination of resultant of two forces acting on particle Formula

theta_degrees = atan((Second force*sin(Theta))/(First Force+Second force*cos(Theta)))
θ = 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 theta_degrees = atan((Second force*sin(Theta))/(First Force+Second force*cos(Theta))) to calculate the Angle, 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). Angle and is denoted by θ 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), Theta (ϑ) and 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 -> 22.98952 = atan((48*sin(0.5235987755982))/(15+48*cos(0.5235987755982))).

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 θ = atan((F2*sin(ϑ))/(F1+F2*cos(ϑ))) or theta_degrees = atan((Second force*sin(Theta))/(First Force+Second force*cos(Theta))). Second force acting on an object in th system of forces, Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint and 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 theta_degrees = atan((Second force*sin(Theta))/(First Force+Second force*cos(Theta))). To calculate Inclination of resultant of two forces acting on particle, you need Second force (F2), Theta (ϑ) and First Force (F1). With our tool, you need to enter the respective value for Second force, Theta and First Force 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 Angle?
In this formula, Angle uses Second force, Theta and First Force. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • resultant = sqrt(First Force^2+(2*First Force*Second force*cos(Angle between two forces))+Second force^2)
  • theta_degrees = atan((Second force*sin(Theta))/(First Force+Second force*cos(Theta)))
  • resultant = sqrt(First Force^2+Second force^2)
  • resultant = First Force+Second force
  • resultant = First Force-Second force
  • horizantal_force = Force*cos(Angle)
  • vertical_force = Force*sin(Angle)
  • moment_of_force = Force*Perpendicular distance between Force and a point
  • resultant = First Force+Second force
  • resultant = First Force-Second force
Where is the Inclination of resultant of two forces acting on particle calculator used?
Among many, Inclination of resultant of two forces acting on particle calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!