04 Materials Flashcards
What is density?
Density = mass / volume
What is Archimedes’ principle?
Upthrust = weight of fluid displaced
What is a fluid?
A substance that can flow
What is density?
A measure of the mass per unit volume of a substance
What is upthrust?
An upwards force on an object caused by the object displacing fluid
What is a hydrometer?
An instrument used to determine the density of a fluid
When is viscous drag exerted?
When an object is in laminar flow
What does viscous drag depend on?
Viscosity of fluid, speed of body, surface area
What is mass?
The amount of matter in an object
What is viscous drag?
A resistive force acting on an object traveling through a fluid
What is Stokes’ law?
F = 6πrηv
What are the units of the coefficient of viscosity
η? Nm^-2s or Pas
What does Stokes’ law apply to?
Small spherical objects traveling at slow speeds with laminar flow
What are the steps in proving the viscosity equation?
- Sum of forces W = U + F
- W = m(s)g, U = m(f)g, F = 6πrηv
- m = ρV
- V = 4/3πr³
- Cancel like terms in each expression
- Rearrange for η
What are some uses for Stokes’ law?
Alcohol testing, food, sports, car design, medicine, cosmetics
How do you measure the volume of irregular objects?
Measure how much water it displaces
What is upthrust?
Weight of fluid displaced
What are the properties of laminar flow?
Streamlines, no mixing of layers
What are the properties of turbulent flow?
Dissipation of energy, eddy currents, mixing of layers
What forces act when a material is stretched?
The stretching force, interatomic forces
What is Hooke’s law?
The force is directly proportional to the extension (and compression)
F = kx
What is the gradient of a force-extension graph?
The stiffness (spring constant) (nm^-1)
What is the limit of proportionality on a force-extension graph?
Where the gradient stops being constant
What is the yield point on a force-extension graph?
Where the gradient levels out (no longer proportional)
What is the elastic limit on a force-extension graph?
Between the limit of proportionality and yield point
What is the breaking point on a force-extension graph?
when there is a fracture
What is elastic deformation?
Material returns to its original shape once the deforming force has been removed
What is plastic deformation?
Material does not return to its original shape once the deforming force has been removed
What is the yield point?
Where there is a large increase in extension for a small increase in force