Magnitude of Force Calculator, Formula, Magnitude of Force Calculation

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:

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) =  √( F²_{x (N)} + F²_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:

1. 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) =  √( F²_{x (N)} + F²_y(N))

F_m(N) = √(3² + 4²)

F_m(N) = √(9 + 16)

F_m(N) = √25

F_m(N) = 5N

2. 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) =  √( F²_{x (N)} + F²_y(N))

F_x(N) = √( F²_{m (N)} – F²_y(N))

F_x(N) = √( 10² – 8²)

F_x(N) = √( 100 -64)

F_x(N) = √36

F_x(N) = 6N.

Magnitude of the Force