Hydrostatics

Question 1

Hydrostatic pressure

Answer 1

Increases linearly with depth. P= γ•h, γ= ρ •g. Can also be written P= ρgh.
( ρ= m/v).
The force/ weight due to this volume.
= specific weight * volume = ρg* zA
Hydrostatic pressure has units of Pascals.
It deals with the forces exerted by fluids at rest. Concerned with the equilibrium of fluids and the pressure they exert on objects immersed in them.

Question 2

Hydrostatic force

Answer 2

(Integral) Pressure* area of contact.
[ P(z)*dA

Question 3

Hydrostatic force

Answer 3

(Integral) Pressure* area of contact.
[ P(z)*dA

Question 4

Hydrostatic paradox

Answer 4

The hydrostatic pressure exerted by a fluid on a surface depends only on the depth of the fluid and its density and not on the shape of the container/ amount of fluid.
A small amount of fluid in a narrow, deep container can exert the same pressure on the bottom as a large amount of fluid in a wide container as long as the depth of fluid is the same.
The pressure at any point in a fluid is due to the weight of the fluid above it.

Question 5

Parallel axis theorem

Answer 5

Relates the moment of inertia of a rigid body about an axis to its moment of inertia about a parallel axis though the centre of mass.
I= Icm (moment of inertia parallel to the desired axis that passes through centre of mass), + Md^2
The moment of inertia of a body increases as the axis of rotation moves further away from the centre of mass.