__Magnitude of Force Calculator:__

__Magnitude of Force Calculator:__

Enter the values of two perpendicular force components, F_{x (N)} and F_{y(N)} to determine the value of magnitude of force, F_{m(N)}.

__Magnitude of Force Formula:__

__Magnitude of Force Formula:__

The magnitude of force, F_{m} 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, F_{m(N)} in Newton is equal to the squareroot of sum of two perpendicular force components, F_{x (N)} and F_{y(N)} in Newton, N.

Magnitude of force, F_{m(N)} = √( F^{2}_{x (N)} + F^{2}_{y(N)})

F_{m(N)} = magnitude of force in Newton, N.

F_{x (N)} = x-component of the force vector in Newton, N.

F_{y(N)} = y-component of the force vector in Newton, N.

__Magnitude of Force Calculation:__

__Magnitude of Force Calculation:__

- Given a force with components F
_{x(N)}=3N and F_{y(N)}=4N, find the magnitude of the force.

Given: F_{x(N)} =3N and F_{y(N)} =4N

Magnitude of force, F_{m(N)} = √( F^{2}_{x (N)} + F^{2}_{y(N)})

F_{m(N)} = √(3^{2} + 4^{2})

F_{m(N)} = √(9 + 16)

F_{m(N)} = √25

F_{m(N)} = 5N

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

F_{y(N)} =8N. Find the x-component of this force.

Given: F_{m(N)} = 10N and F_{y(N)} =48N

Magnitude of force, F_{m(N)} = √( F^{2}_{x (N)} + F^{2}_{y(N)})

F_{x(N)} = √( F^{2}_{m (N)} – F^{2}_{y(N)})

F_{x(N)} = √( 10^{2 }– 8^{2})

F_{x(N)} = √( 100 -64)

F_{x(N)} = √36

F_{x(N)} = 6N.