Enter the x and y components of a force vector into the calculator to determine the magnitude of the force.
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Magnitude of Force Formula
The following equation is used to calculate the magnitude of a force.
Fm = √(Fx^2 + Fy^2)
- Where Fm is the magnitude of the force
- Fx is the x-component of the force vector
- Fy is the y-component of the force vector
To calculate the magnitude of a force, add together the x-component squared by the y-component squared, then take the square root of that value.
What is a Magnitude of Force?
In physics, a force is the push or pull that acts upon an object to make it move or accelerate. A force is said to have a magnitude (or strength) and direction.
The force can be expressed as a vector like a velocity, position, and acceleration. This vector has an x and y-component, which both contribute to the overall magnitude of the force.
How to Calculate Magnitude of Force?
The following example outlines the steps and information needed to calculate the Magnitude of Force.
First, determine the x-component of the force. In this example, the x-component of force is given as 50N.
Next, determine the y-components of force. In this case, the y-component of force is given as 30N.
Finally, calculate the magnitude of force using the formula above:
Fm = SQRT(Fx^2 + Fy^2)
Fm = SQRT(50^2 + F30^2)
Fm = 58.309 N