# Resultant Force Calculator

The resultant force refers to the single force acting on an object along with their directions. The resultant will be zero when an object is subjected to have several numbers of forces acting in the same directions. When the forces act perpendicular, we use pythagorean theorem to find the resultant force. The resultant force is the vector sum of all the forces. Use our online resultant force calculator to find the resultant of two forces acting at an angle.

## Resultant of Two Forces Acting at an Angle

The resultant force refers to the single force acting on an object along with their directions. The resultant will be zero when an object is subjected to have several numbers of forces acting in the same directions. When the forces act perpendicular, we use pythagorean theorem to find the resultant force. The resultant force is the vector sum of all the forces. Use our online resultant force calculator to find the resultant of two forces acting at an angle.

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#### Formula:

Resultant Force = √ ((F_{1} × cos(A) + F_{2} × cos(B))^{2} + (F_{1} × sin(A) + F_{2} × sin(B))^{2})
R = tan^{-1}(F_{1}×sin(A) + F_{2} × sin(B))) / ((F_{1} × cos(A)+ F_{2} × cos(B))
**Where,**
F_{1} = First Force
F_{2} = Second Force
A = Direction Angle of First force
B = Direction Angle of Second Force
R = Direction Angle of Resultant Force
### Example:

Find the Resultant Force and its angle for magnitude of 1st and 2nd forces as 5 N and 8 N and direction of 1st and 2nd forces as 20° and 25°

#### Solution:

Resultant Force = √((5 x cos(20) + 8 x cos(25))^{2} + (5 x sin(20) + 8 x sin(25))^{2})

= 13 N

Direction Angle Of Resultant Force = tan^{-1}((5 x sin(20) + 8 x sin(25))/(5 x cos(20) + 8 x cos(25)))

= 23 °

The direction angle of resultant force is calculated from the resultant of two forces acting at an angle. Determine the resultant force using the resultant force calculator.