Force Magnitude Calculator





Formula

The formula to calculate the magnitude of a force is:

\[ F_m = \sqrt{F_x^2 + F_y^2} \]

where \( F_m \) is the magnitude of the force, \( F_x \) is the x-component of the force vector, and \( F_y \) is the y-component of the force vector.

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 velocity, position, and acceleration. This vector has an x and y-component, which both contribute to the overall magnitude of the force.

Example Calculation

Let's assume we have the following values:

Step 1: Square the x-component:

\[ F_x^2 = 3^2 = 9 \]

Step 2: Square the y-component:

\[ F_y^2 = 4^2 = 16 \]

Step 3: Add the squared components:

\[ 9 + 16 = 25 \]

Step 4: Take the square root of the sum:

\[ \sqrt{25} = 5 \]

Therefore, the magnitude of the force is \( F_m = 5 \) units.