Materials Flashcards

1
Q

Density

A

A measure of how closely packed particles are in a material

Defined as the mass per unit volume of a material

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

Density equation

A

p=m/v

Kgm-³

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

Whatever you do to the unit…

A

You do to the conversion factor

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

Pico

A

-12

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

Fempto

A

-15

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

Measure mass

A

Balance

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

Measure mass of liquid

A
Measure mass of container empty and full
With balance
Subtract to get mass of liquid
Read off volume on beaker
Density calculation
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

Measuring irregular solid density

A

Measure mass with balance
Read off volume on beaker with and without object fully submerged in the water
Difference in volume is volume of solid
Density calculation

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

If an objects density is less than the density of a fluid then

A

It will float

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

Hooke’s law

A

The extension produced by a force in a wire or spring is directly proportional to the force applied
Up to the limit of proportionality

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

Express Hookes law mathematically

A

F=kx

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

Limit of proportionality

A

Point up to which Hookes law is obeyed in which force is directly proportional to extension
Point beyond which f and x stop being proportional

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

Elastic limit

A

Not the same as the limit of proportionality
Occurs after limit of proportionality
Point beyond which a stretched spring won’t return to its original length

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

When doesn’t a spring return to its original length

A

Beyond the elastic limit

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

Gradient of force extension graph

A

Spring constant
Stiffness
Before limit of proportionality

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

What is the spring constant

A

Measure of resistance to stretching

Stiffness

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

Extension of springs in parallel

Spring constant

A

Stretch by half

Meaning spring constant has doubled

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
18
Q

Springs in parallel
Extension
Spring constant

A

Stretch twice as far

So spring constant halves

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
19
Q

Combined spring constant equation for series

A

1/ktotal = 1/k1 + 1/k2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
20
Q

Combined spring constant for springs in parallel

A

Ktotal = K1 + K2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
21
Q

Area under the graph of force extension

A

Work done on the spring

Since W=Fs and s=extension

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
22
Q

Explain the area under a force extension graph

A

Weight of masses stretches spring and does work on it
Increasing its elastic potential energy
So area gives elastic potential energy/strain energy stored stretching it to that point

In region before limit of proportionality area is a triangle
So can be calculated by doing 1/2 Fx

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
23
Q

Three equations to work out strain energy

A

E=1/2kx²

E=1/2F²/k

E=1/Fx

24
Q

Plastic deformation

A

Point in which an unloaded spring no longer returns to its original length when unloaded

25
How do you work out the permenant extension
Draw a line from top of graph parallel to gradient of the region of proportionality Where it crosses x axis
26
What is the difference in energy for the area loading and unloading
Energy used to permentantly deform the spring
27
Elastic behaviour
Sample that has been deformed by a force returns to its original shape when the force is removed
28
Elastic limit
Maximum force applied up to which a material can be stretched and return to its original shape
29
Plastic behaviour
When the deforming force is removed and the material does not return to its original shape
30
Ductile
Can be easily and permenantly stretched | Drawn out into wires
31
Brittle
``` Cannot be permenantly stretched Will break soon after the elastic limit Tend to be very strong under compression But weak under tension Concrete Mortar Brick Stone ```
32
Fracture
Point at which the material breaks due to the force applied
33
Small plastic region
Brittle
34
Large plastic region
Ductile
35
Higher fracture point
Stronger material
36
Steeper gradient
Stiffer material
37
Special case rubber
Isn't really a Hookean region or limit of proportionality Gradient still represents spring constant But spring constant is constantly changing
38
Difference in energy/area for rubber
Energy retained by the rubber as heat
39
How does the graph of rubber show it doesn't obey Hookes law
No linear section to the graph | Where force is proportional to the extension
40
What does spring constant depend on
Material | Dimensions
41
A material will stretch ... if longer
More
42
A material will stretch ... if its thicker
Less
43
Why is youngs modulus better than spring constant
Isn't affected by materials dimensions Stress accounts for thickness Strain accounts for length
44
Youngs modulus
Tensile stress/Tense strain
45
Tensile stress
F/A
46
Tensile strain
Change in length over original length | Ratio
47
Youngs modulus terms
YM=Fl/A◇L
48
Units for stress/YM
Nm-² | Pa
49
Assumption with YM
Assume the cross sectional area is constant In reality the decrease in area is very small So say negligible
50
Breaking stress
Stress at the fracture point
51
Breaking strain
Strain at the fracture point
52
Area under a stress strain graph
Area=Stress x Strain Area=F/A x ◇L/L (W=F◇L) A=W/AL So the work done per unit volume
53
Can the energy equations be used for youngs modulus
Yes
54
Breaking strain equation
Max extension/Origional length
55
Breaking stress
Maximum force/Area
56
True or false | A graph of stress against strain is always linear up to the elastic limit
False | Limit of proportionality
57
True or false | If a material is stretched up to its elastic limit it will return to its original shape when released
True | Hasn't passed its elastic region which just means F and X aren't proportional