Materials (4) Flashcards
(50 cards)
Definition of density
Mass per unit volume of an object
Units of density
kg per m cubed
An object that’s more dense has more/less particles
More
Volume of a sphere
4/3 pi r cubed
volume of cube
d cubed
volume of cylinder
pi r squared x height
1mm cubed=
1 e-9 m cubed
1cm cubed=
1e-6 m cubed
Archimedes’ Principle
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
What happens when the weight of the fluid displaced is equal to the object’s weight
Object stops sinking
When upthrust=weight…
Object floats
How to calculate magnitude of upthrust
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
Equation for weight of displaced fluid
W=pVg
What is viscous drag
the frictional force between an object and a fluid which opposes the motion between the object and the fluid
Equation for Stoke’s law
F = 6πηrv
What do the components of stokes law represent
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)
Fluid with low viscosity is hard/easy to poor
Easy
what is the viscosity coefficient
The coefficient of viscosity is a property of the fluid (at a given temperature) that indicates how much it will resist flow
At terminal velocity, what forces are balanced (object in fluid) (2 equations)
W(sphere) = F(drag) + U
W(sphere =v(sphere)ρ(sphere)g
Volume of displaced fluid is the same as…
Volume of the sphere in fluid
Derive the equation for terminal velocity of a sphere in a fluid
v=(2π r^2 g (ps-pf))/9πη
What are the conditions for stokes law (4)
The flow is laminar
The object is small
The object is spherical
Motion between the sphere and the fluid is at a slow speed
What happens to layers of fluid in laminar flow
All layers moving in the same direction and don’t mix
What happens to layers of fluid in turbulent flow
All layers move in different directions and mix