Materials (4) Flashcards

(50 cards)

1
Q

Definition of density

A

Mass per unit volume of an object

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2
Q

Units of density

A

kg per m cubed

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3
Q

An object that’s more dense has more/less particles

A

More

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4
Q

Volume of a sphere

A

4/3 pi r cubed

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5
Q

volume of cube

A

d cubed

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6
Q

volume of cylinder

A

pi r squared x height

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7
Q

1mm cubed=

A

1 e-9 m cubed

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8
Q

1cm cubed=

A

1e-6 m cubed

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9
Q

Archimedes’ Principle

A

An object submerged in a fluid at rest has an upward buoyancy force (upthrust) equal to the weight of the fluid displaced by the object

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10
Q

What happens when the weight of the fluid displaced is equal to the object’s weight

A

Object stops sinking

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11
Q

When upthrust=weight…

A

Object floats

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12
Q

How to calculate magnitude of upthrust

A

Find the volume of the submerged object, which is also the volume of the displaced fluid

Find the weight of the displaced fluid

Since m = ρV (density × volume), upthrust is equal to F = mg which is the weight of the fluid displaced by the object

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13
Q

Equation for weight of displaced fluid

A

W=pVg

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14
Q

What is viscous drag

A

the frictional force between an object and a fluid which opposes the motion between the object and the fluid

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15
Q

Equation for Stoke’s law

A

F = 6πηrv

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16
Q

What do the components of stokes law represent

A

F = viscous drag (N)

η = coefficient of viscosity of the fluid (N s m−2 or Pa s)

r = radius of the object (m)

v = velocity of the object (ms−1)

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17
Q

Fluid with low viscosity is hard/easy to poor

A

Easy

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18
Q

what is the viscosity coefficient

A

The coefficient of viscosity is a property of the fluid (at a given temperature) that indicates how much it will resist flow

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19
Q

At terminal velocity, what forces are balanced (object in fluid) (2 equations)

A

W(sphere) = F(drag) + U
W(sphere =v(sphere)ρ(sphere)g

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20
Q

Volume of displaced fluid is the same as…

A

Volume of the sphere in fluid

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21
Q

Derive the equation for terminal velocity of a sphere in a fluid

A

v=(2π r^2 g (ps-pf))/9πη

22
Q

What are the conditions for stokes law (4)

A

The flow is laminar

The object is small

The object is spherical

Motion between the sphere and the fluid is at a slow speed

23
Q

What happens to layers of fluid in laminar flow

A

All layers moving in the same direction and don’t mix

24
Q

What happens to layers of fluid in turbulent flow

A

All layers move in different directions and mix

25
How does viscosity change with temp (liquids and gases)
Liquids are less viscous as temperature increases Gases get more viscous as temperature increases
26
When a force F is added to the bottom of a vertical metal wire, what happens
It stretches
27
In materials that obey Hooke's law
The extension of the material is directly proportional to the applied force (load) up to the limit of proportionality
28
Hooke's law equation
ΔF = kΔx
29
What happens to stiffness when spring's constant increases
It increases
30
Extension of an object is _____ Compression of an object is _____
Extension=increase in length Compression=decrease in length
31
Does the graph of F against x go through the origin
Yes
32
What happens at the limit of proportionality and how is it shown on a Hooke's law graph
The point beyond which Hooke's law is no longer true when stretching a material i.e. the extension is no longer proportional to the applied force. The point is identified on the graph where the line starts to curve (flattens out)
33
What happens at the elastic limit and how is it shown on a Hooke's law graph
The maximum amount a material can be stretched and still return to its original length (above which the material will no longer be elastic). This point is always after the limit of proportionality.
34
Gradient of Hooke's law graph=
Spring constant
35
Define stress
The applied force per unit cross sectional area of a material (could be tensile or compressive forces)
36
Equation for stress
Stress=Force/area
37
What is the ultimate tensile stress
The maximum force per original cross-sectional area a wire is able to support until it breaks
38
Define strain
The extension per unit length
39
What is young's modulus
A measure of the ability of a material to withstand changes in length with an added load ie. how stiff a material is
40
Young's modulus equation and unit
Stress/strain (Pa)
41
When a material is elastic, stress and strain are ...
Directly proportional
42
Gradient of stress/strain graph=
Young's modulus
43
What is the yield point
Where the material continues to stretch even though no extra force is being applied to it
44
Define elastic deformation
A change of shape where the material will return to its original shape when the load is removed
45
Define plastic deformation
It is a change of shape where the material will not return to its original shape when the load is removed. Occurs after the yield point.
46
What does stress/strain graph tell you (4)
Up to what stress and strain they obey Hooke's Law Whether they exhibit elastic and/or plastic behaviour The value of their Young Modulus The value of their breaking stress
47
What is breaking stress
is the stress at the point where the material breaks
48
How to remember order of points on a stress/strain or force/extension graph
Limit of proportionality Elastic limit Yield point LEY
49
How to find elastic strain energy (or work done) on force/extension graph
Area underneath the graph
50
How to find area under force/extension graph when a material doesn't obey Hooke's law
Split into shapes + count squares