Normal force via pressure and vector area

Pressure is the proportionality constant between the vector area and the normal force acting on it.

Conditions:

  1. Pressure is constant thoughout the given area, which can be achieved by making it infinitesimally small.

Links:

  1. Wikipedia — Pressure.

  2. Wikipedia — Normal force.

normal_force

Normal force is the component of a contact force that is normal to the contact surface of the object.

Symbol:

F_n

Latex:

\({\vec F}_{n}\)

Dimension:

force

pressure

pressure.

Symbol:

p

Latex:

\(p\)

Dimension:

pressure

vector_area

Vector area.

Symbol:

A

Latex:

\({\vec A}\)

Dimension:

area

law

F_n = p * A

Latex:
\[{\vec F}_{n} = p {\vec A}\]