PRESSURE/FLIGHT
UNIT SOME NOTES… ALL stuff we know already!!

Density
is Mass /Vol (in Kg/^{3}) for Physics

So
Mass = Dens * Volume, Since Weight = Mass *g, Weight=Dens*Vol*g

Pressure
is Force/Area in Newtons/ square meter

1 N/m^{2}
= 1 Pascal of Pressure, Sea Level = 101320 Pascals

Since
Energy is Force * Distance = Work

Pressure = (Force/Area *
Distance/Distance)

= (Force * Distance) /
(Area*Distance)

Pressure = Work / Volume =
Energy/Volume

For
an object in a fluid the pressure on top of it is:

Δ Pressure =
Force/Area = Weight/Area

= (Dens * Vol*g)/ Area

=
Dens * g * Vol/Area

Δ Pressure = Dens*g*Height

That’s the same as saying that ΔWork/Volume =
mgh /Volume !

In
fact the conservation of energy for a fluid is:

ΔWork
+ Δ GPE + Δ KE = 0 (with no heat) but dividing by volume

(Mass/Vol = Dens)

F*dist/Vol + mgh/Vol + ½ m vel^{2} / Vol =
F*dist/Vol + mgh/Vol + ½ m vel^{2}/
Vol

Pressure_{1}
+ Dens*g*h_{1} + ½ Dens*Vel_{1}^{2} = Pressure_{2}
+ Dens*g*h_{2} + ½ Dens*Vel_{2}^{2}

This
is called Bernoulli’s Principle, and is just a restatement of conservation of
energy that relates Pressure (instead of work), Height and Velocity for a
fluid.

If
velocity stays the same, then pressure changes depending on density and height.

If
height stays the same, then the faster the velocity, the lower the pressure!

Pg
337 #1

A
large storage tank open to the atmosphere at the top and filled with water,
develops a small hole at a point 16 m below the water. If the rate of flow of
water from the leak is .0025 m^{3} / min, determine the following:

a) the speed at
which the water leaves the hole.

b) the diameter
of the hole (hint : Area = Volume/Dist= πr^{2} )

#2
Skip

#3
When a person inhales, air (Density is 1.29 kg/m^{3} ) moves down the
windpipe at 15 cm/s (.15 m/s) . The average flow speed doubles when passing
through a constriction in the bronchus. Assuming incompressible flow, determine
the pressure drop in the constriction

1)
The time required to fill a bucket with water from a certain garden hose is 30
sec. If you cover part of the hose’s nozzle with your thumb so that the speed of
water leaving the nozzle doubles, how long does it take to fill the bucket?

2)
Skip

3)
The water supply of a building is fed through a main entrance pipe that is 6 cm
in DIAMETER. A 2 cm DIAMETER faucet tap positioned 2 m above the main pipe
fills a 25 L (25 kg) container in 30 seconds. Water is 1000 kg/m^{3}

a) What is the
speed at which water leaves the faucet?

b) What is the
gauge pressure in the pipe? (Pressure compared to atmosphere)