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Institute of Aeronautical Engineering (IARE), Hyderabad
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Resultant of two forces acting on particle with an angle Solution

STEP 0: Pre-Calculation Summary
Formula Used
resultant = sqrt(First Force^2+(2*First Force*Second force*cos(Angle between two forces))+Second force^2)
R = sqrt(F1^2+(2*F1*F2*cos(θ))+F2^2)
This formula uses 2 Functions, 3 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
sqrt - Squre root function, sqrt(Number)
Variables Used
First Force - First force acting on a object in th system of forces. (Measured in Newton)
Second force - Second force acting on an object in th system of forces. (Measured in Newton)
Angle between two forces - Angle between two forces, i.e angle subtended by two forces acting on a particle. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
First Force: 15 Newton --> 15 Newton No Conversion Required
Second force: 48 Newton --> 48 Newton No Conversion Required
Angle between two forces: 16 Degree --> 0.27925268031904 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R = sqrt(F1^2+(2*F1*F2*cos(θ))+F2^2) --> sqrt(15^2+(2*15*48*cos(0.27925268031904))+48^2)
Evaluating ... ...
R = 62.5557099084584
STEP 3: Convert Result to Output's Unit
62.5557099084584 Newton --> No Conversion Required
FINAL ANSWER
62.5557099084584 Newton <-- Resultant force
(Calculation completed in 00.000 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

Resultant of two forces acting on particle with an angle Formula

resultant = sqrt(First Force^2+(2*First Force*Second force*cos(Angle between two forces))+Second force^2)
R = sqrt(F1^2+(2*F1*F2*cos(θ))+F2^2)

What is resultant?

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 Resultant of two forces acting on particle with an angle?

Resultant of two forces acting on particle with an angle calculator uses resultant = sqrt(First Force^2+(2*First Force*Second force*cos(Angle between two forces))+Second force^2) to calculate the Resultant force, The Resultant of two forces acting on particle with an angle formula is square root of sum of square of first force, square of second force and twice the product of first force, second force and cos(θ). Resultant force is denoted by R symbol.

How to calculate Resultant of two forces acting on particle with an angle using this online calculator? To use this online calculator for Resultant of two forces acting on particle with an angle, enter First Force (F1), Second force (F2) & Angle between two forces (θ) and hit the calculate button. Here is how the Resultant of two forces acting on particle with an angle calculation can be explained with given input values -> 62.55571 = sqrt(15^2+(2*15*48*cos(0.27925268031904))+48^2).

FAQ

What is Resultant of two forces acting on particle with an angle?
The Resultant of two forces acting on particle with an angle formula is square root of sum of square of first force, square of second force and twice the product of first force, second force and cos(θ) and is represented as R = sqrt(F1^2+(2*F1*F2*cos(θ))+F2^2) or resultant = sqrt(First Force^2+(2*First Force*Second force*cos(Angle between two forces))+Second force^2). First force acting on a object in th system of forces, Second force acting on an object in th system of forces & Angle between two forces, i.e angle subtended by two forces acting on a particle.
How to calculate Resultant of two forces acting on particle with an angle?
The Resultant of two forces acting on particle with an angle formula is square root of sum of square of first force, square of second force and twice the product of first force, second force and cos(θ) is calculated using resultant = sqrt(First Force^2+(2*First Force*Second force*cos(Angle between two forces))+Second force^2). To calculate Resultant of two forces acting on particle with an angle, you need First Force (F1), Second force (F2) & Angle between two forces (θ). With our tool, you need to enter the respective value for First Force, Second force & Angle between two forces 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 Resultant force?
In this formula, Resultant force uses First Force, Second force & Angle between two forces. 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
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