Fluid Mechanics

Formulae

Pressure = Density x g x depth ( where g is the acceleration due to gravity = 9.81m/s²)

Cross sectional area of round cylnder or tank A = πd²/4

Pressure=Force/Area

In pneumatic and hydraulic systems - i.e. cylinders connected by pipes.
Effort Area x Effort distance moved = Load Area x Load distance moved

The forces are in the ratio of the squares of the diameters. F1 = F2 x d1²/d2²

What is the pressure at the bottom of a tank filled with water to a depth of 1.5 metres?
If the same tank is instead filled with oil to the same depth (Relative density =0.880) What would the pressure be? Make sure you include the correct units.
If the tank was 0.75 metre deep, calculate the pressure if the oil has a relative density of 0.9
If the tank was 2.5 metre deep, calculate the pressure if the oil has a relative density of 0.92
If the tank was 10 metre deep, calculate the pressure if the oil has a relative density of 0.91
If the load is 250kg. The diameters of the pistons are 65mm and 275mm. What is the pressure in the system?
In the same system. What is the effort required to lift the load?
If the load moves up by 30mm, how far does the effort have to move? To the nearest mm.

Fluid Mechanics

Quiz

Formulae