Calculate the resultant force magnitude and direction from two forces acting at an angle.
Forces & Angle
Resultant Force
Enter forces and angle
About this calculator
Quick Reference
RResultant Force
θAngle between vectors
αResultant Angle
Overview
When two forces act on an object at an angle, they can be combined into a single resultant force using vector addition. This calculator uses the law of cosines.
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Pro Tips
The angle θ is the angle between the two force vectors tails together.
If the angle is 0°, the forces simply add up.
If the angle is 180°, they subtract.
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Fun Facts
"The parallelogram law of forces was used by Newton."
"Resultant force determines the acceleration of an object (F=ma)."