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30 Cards in this Set

  • Front
  • Back
forces from solids and fluids
solids can withstand forces from all directions

fluids are constantly breaking and reforming bonds bc high KE, so only temporal resistance to forces EXCEPT can withstand forces NORMAL (perpendicular) to its surface - bc of pressure
intensive properties analogous to mass and Energy
density and pressure
Density
p=m/V "heaviness"
assume all liquids and solids are totally incompressable and therefore have constant density

related to specific gravity:
denisty of substance/density of water
specific gravity
density of substance/ density of water

less than one indicates substance lighter than water

density of water= 1000kg/m3
1 gm/cm3
density of water
1000kg/m3

1gm/cm3
fluid pressure
average magnitude of the force of fluid molecs hitting a submerged object / by area over which collisions are taking place (surface area)
P=F/A
Pascals

pressure experienced by object

also magnitude of change in momentum/ time duration of collisions and area

also measure of kinetic energy due to random velocities of molecs distributed over the fluid volume
fluid at rest
only experiences forces perpendicular to its surface

P=density x g x y (depth)

independent of area!!

total P = summed pressure due to each fluid if in layers
** must add air if open container!
Patm=101,000 Pa
gauge pressure
pressure compared to local atmospheric pressure

atm P is arbitrarily given value of 0, therefore anything below is negative P
Pascal's principle
pressure applied anywhere to an enclosed incompressible fluid will be distributed undiminished throught that fluid

** doesnt apply to gas b/c compressible
absolute pressure
pressure measured relative to vaccum

gauge pressure plus atmospheric pressure
hydraulic lift
works via pascals principle

piston 1 has smaller area, connected to piston 2 via tube

less force needed to push on 1 to move 2, but proportionately less distance moved (because work doesn't change, only lowers force needed in ideal machine)
buoyant force
upward force acting on a submerged object

is equal to the weight of the fluid displaced by the submerged object

Fb=desity of fluid x V x g

if submerged, displaces fluid equal to its VOLUME!
if floating, displaces fluid equal to its WEIGHT!

BUT wont be fully submerged (% submerged = density object/density liquid)
fraction sumberged of floating object
density of object/ density of liquid it is in

*** will displace an amount of fluid equal to its own WEIGHT
(fully submerged will be equal to its volume)
centre of buoyancy
where centre of mass would be if object was uniformly dense
types of motion a moving fluid can have
random translational motion - contributes to fluid P like fluid at rest

uniform translational motion - shared by all molecs equally at a given location (motion of fluid as a whole) * doesnt contribute to pressure!
ideal fluids differ from real fluids...
1. no viscosity
2. incompressible (uniform density)
3. lacks turbulence (steady flow, same velocity thru pt)
4. irrotational flow
viscosity
measure of fluid's temporal resistance to forces not perpendicular to its surface - tendency to resist flow

similar to drag - created by viscosity and pressure due to motion
drag
created by viscosity and pressure due to motion

always opposes motion of an object through a fluid
continuity equation
Q = Av

Q rate at which volume passes through pipe (volume flow rate)

in ideal fluid, flow rate is constant
NOT in real fluid - depends on pipe length and radius

narrower pipe, greater velocity
Bernoulli's equation
MUST MEMORIZE

P + pgh + 1/2pv2 = K

K is constant specific to a fluid in a given situation of flow

** h is distance above a point

as velocity increases, pressure decreases** - think running from bees... uniform trans E is achieved by borrowing E from random translational E...
Non-ideal fluids
- drag and viscosity act to impede flow - as move away from fluid-object interface, decrease effect
(therefore if narrow pipe, velocity will still increase, but not as much as ideal b/c drag has increased too)
surface tension
intensity of intermolecular forces per unit length

intermolecular forces pull inwards, min surface area, creates sepherical shape

dependent on temperature (weaker with high temp)
and fluid with which it is interfacing with
capillary action
fluid is pulled up thin tube

due to intermolecular forces of surface tension = cohesive

and forces between molecs of tube and fluid = adhesive

if cohesive stronger, will get convex meniscus (fluid pulled down by strong vertical comp surface tension)

if adhesive forces stronger, get concave miniscus, fluid pulled up by vert comp of surface tension
stress
force applied to an object/ area over which force is applied

N/m2
strain
fractional change in object's shape

ratio of change in dimension compared to original dimension

no units

* how object responds to stress
modulus of elasticity
stress/strain

up to some max stress, modulus of elasticity is a constant for a specific substance (find max from exp)

yield point - doesnt reform
fracture point - breaks
Young's modulus
tensile stress (E)

stress(F/A)/
strain (change height/height)
Shear modulus
shear stress

stress (F/A)/
strain (change x/ height)
bulk modulus
compression and expansion (B)

stress (change in P)/
strain (change in volume/original volume)
thermal expansion
solids typically expand when heated

linear (one dimensional) or volume (3D)

change in L = L alpha change in T

change in V = V beta change in T

alpha and beta are constant to particular substance