Is pressure a vector? Give reason.
Answers
Therefore, pressure is a scalar quantity, not a vector quantity. It has magnitude but no direction sense associated with it. Pressure force acts in all directions at a point inside a gas. At the surface of a gas, the pressure force acts perpendicular (at right angle) to the surface.
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Let's first see how is pressure defined -
Pressure (symbol: P) is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
The question stated in other words is, pressure, P = F/A where force and area (in general) are vectors then why is pressure a scalar?
Answer- Because of the definition.
Pressure= perpendicular component of |force| upon |area|.
The component of force perpendicular to the unit area (direction of area vector is also perpendicular to the area), is taken. So pressure is something that is always perpendicular the surface it is applied.
It doesn't have any independent or unique direction of its own. If you apply pressure in a fluid inside a container the same pressure will be applied at every small part of the wall and the wall(area vector) can have any direction/orientation whatsoever and the pressure will remain same.
(In other words it is invariant under the change of orientation of area vector if magnitude of perpendicular component of force on that area remains constant.)
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