# Magnitude of Force Calculator, Formula, Magnitude of Force Calculation

## Magnitude of Force Calculator:

Enter the values of two perpendicular force components, Fx (N) and Fy(N) to determine the value of magnitude of force, Fm(N).

 Enter X-Component of the Force Vector: N Enter Y-Component of the Force Vector: N Result – Magnitude of Force: N

## Magnitude of Force Formula:

The magnitude of force, Fm represents the total force exerted on an object, calculated from its components in two or more directions. It quantifies the overall effect of these forces as a single vector’s length.

Magnitude of force, Fm(N) in Newton is equal to the squareroot of sum of two perpendicular force components, Fx (N) and Fy(N) in Newton, N.

Magnitude of force, Fm(N) =  √( F2x (N) + F2y(N))

Fm(N) = magnitude of force in Newton, N.

Fx (N) = x-component of the force vector in Newton, N.

Fy(N) = y-component of the force vector in Newton, N.

### Magnitude of Force Calculation:

1. Given a force with components Fx(N) =3N and Fy(N) =4N, find the magnitude of the force.

Given: Fx(N) =3N and Fy(N) =4N

Magnitude of force, Fm(N) =  √( F2x (N) + F2y(N))

Fm(N) = √(32 + 42)

Fm(N) = √(9 + 16)

Fm(N) = √25

Fm(N) = 5N

1. Suppose you have a force with a magnitude of 10N and a y-component of the force

Fy(N) =8N. Find the x-component of this force.

Given: Fm(N) = 10N and Fy(N) =48N

Magnitude of force, Fm(N) =  √( F2x (N) + F2y(N))

Fx(N) = √( F2m (N) – F2y(N))

Fx(N) = √( 102 – 82)

Fx(N) = √( 100 -64)

Fx(N) = √36

Fx(N) = 6N.