Materials Flashcards
1.
B
AKA steepests gradient of straight line part of the graph
Young modulus =
Stress/Strain
where E is the Young modulus
young modulus
a property of a material that measures how difficult it is to change the shape of a material
unit measured in pascals
C
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Density =
why does frequency of light remains constant during refraction
This is a consequence of the principle of conservation of energy. The energy of a wave is directly proportional to its frequency, and since energy cannot be created or destroyed, the frequency of the wave cannot change as it moves from one medium to another.
The frequency of a light wave is determined by the source that generates it.
The frequency of light is directly related to its energy (as described by the Planck-Einstein relation E = hf, where E is energy, h is Planck’s constant, and f is frequency). If the frequency of light were to change upon entering a different medium, it would imply a change in the energy of the photons, which doesn’t happen in such transitions. The conservation of energy principle dictates that the energy (and hence frequency) of the photons remains constant.
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focal length
the distance between the optical centre and the principle focus
The distance from the centre of the lens to the focal point.
Principal focus
Principal focus is the point where parallel rays coming from infinity meet or appear to meet.
diverging lens
a concave lens
converging lens
bulging/convex lens
convex lens
converging
concave lens
diverging
ray bending in a converging lens
going in: bends towards the normal
going out: bends away from the normal
if the object is between the focal length and a converging lens then the image is
- magnified
- upright
- virtual image
If the object is beyond the focal length of a converging lens then the image is
- magnified
- inverted
- real image
virtual principal focus
is you trace back the diverged rays to a single point
power of a diverging lens
always negative
What does diverging lens do to the image
- diminished
- upright
- virtual image
what does the focal length depend on
the curvature of the surface and the material used
the more powerful the lens the
shorter the focal length
power of a lens equation
P = 1/f
lens equation
1/f = 1/u + 1/v
distances to real objects and images are postive
distances to virtual images are negative
focal length of converging is positive, focal length of diverging is negative
magnification equation
magnification = image distance/ object distance
real image
an image that can be projected onto a screen
virtual image
an image that can’t be projected onto a screen (appears to come from behind the lens)
combing lens power
P = P1 + P2 + P3…
for thin lenses
Define upthrust
Upwards force on an object due to the weight of displaced liquid
Upthrust = weight of fluid displaced
If W > U then,
If Weight of an object is greater than Upthrust, object will sink
If U < W then,
If Weight of an object is greater than Upthrust, object will sink
If W < U then,
If Upthrust is greater than Weight of an object then the object floats
If U > W then
If Upthrust is greater than Weight of an object then the object floats
What would U-W give us
The accelerating force, F
What would happen if U=W
The object would be stationary
ρW = ρBVg
Vg cancels on both sides because they are the same and then we are left with;
ρW = ρB
What is drag?
The frictonal force experienced by an object travelling through a fluid (liquid or gas)
When an object is moving upwards through a fluid what is the resultant force?
Resultant force F = U - (W+D)
where drag is acting downwards
When an object is moving upwards through a fluid at constant velocity what is the resultant force?
0 = U - (W+D)
U = W+D
where drag is acting downwards
When an object is moving downwards through a fluid what is the resultant force?
Resultant force F = W - (U+D)
where drag is acting upwards
When an object is moving downwards through a fluid at constant velocity what is the resultant force?
0 = W - (U+D)
W = U + D
ρWVg = ρBVg + D
ρWVg - ρBVg = D
Vg ( ρW - ρB) = D
What is the equation for Weight?
W = mg
Weight = mass x gravity
But in fluids (liquids) we often don’t deal with mass we deal with densities so we have;
W = (ρ x V) x g
B
What is upthrust and weight in terms of density?
Upthrust is caused by weight of water being displaced.
so,
U = ρW x V x g
where ρW is the density of the fluid
and
W = ρB x V x g
where ρB is the density of the ball in the fluid
The volumes will be the same, because the volume of water displaced will be equal to the volume of ball and of course gravity is the same.
When do we use Stokes Law?
Whenever we have dynamic viscosity
What is Stokes Law?
Tells us what the drag force is on a sphere in a fluid
F = F D = 6πηrv
where;
* r is the radius of the sphere
* v is the speed
* η is the dynamic viscosity
C
increased mass means increased Weight force
smaller diameter means reduced drag force
D
B
A
What are tensile forces?
Tensile forces produce extension
(in other words trying to stretch an object)
What are compressive forces?
Reduces the length of a material
(in other words squash an object)
What is Hooke’s Law?
The applied force is directly proportional to the extension (provided that the limit of proportionality is not exceeded, on a graph this is when it plateaus and we have plastic behaviour)
F = kx
where k is the strength constant or force constant, measured in Nm-1
How is extension found?
Subtracting final length from the initial length.
Define stress
(which is similar to pressure, and has same equation)
(tensile or compressive) stress = force/cross-sectional area
B
Comes from Hooke’s Law; F is y axis and x is x axis. F = Force. x = extension, and we work out extension
Gradient is dF/dx
What is the area under a force-extension graph?
Elastic potential energy
we know F = kΔx
substituting this in we get
ΔEel = 1/2 k Δx2
What is strain?
(tensile or compressive) strain = change in length/original length
Calculated by
Strain has no units because its metre/metre so cancels out
which is a percentage of how much object has been stretched
If we have original length one and been stretched by 0.1; we have 0.1/1 = 0.1 which is (10%)
C
Opposite of elasticity is plasticity and elastic means it goes back to its original shape
C
W = F x d
A
Newtons in base units from F = ma
m units are kg
a units are m s-2
so base units of F are kg m s-2
Define ultimate tensile strength
The greatest amount of stress that a material can withstand before reaching breaking point.
Define ductile material
A material which can be easily be drawn into wires
B
A
C
Define Elastic deformation
The material returns to its original shape after the force is removed
Define plastic deformation
The material does not return to its original shape after the force is removed.