Extra Equations Not on Sheet Flashcards
What are SI units for length?
Metres
What are SI units for mass?
Kilograms
What are SI units for time?
Seconds
What are SI units for temperature?
Kelvin
What are SI units for electrical current?
Ampere
What are SI units for substance amount?
Moles
What are SI units for charge?
C
What are SI units for resistance?
Ohms (special symbol) which is V/A
What are SI units for electrical potential difference?
V
What are SI units for equivalent dose?
Sv which is J/Kg
What are SI units for pressure?
Pa which is 1 N/m2
What are SI units for volume?
m3
What are SI units for velocity?
m/s
What are SI units for acceleration?
m/s2
What are SI units for force?
N
What are SI units for energy, work/ heat?
J which is N/m
What are SI units for power?
W
What are SI units for capacitance?
F which is C/V
What are SI units for absorbed dose?
Gy which is 1J/Kg
What are SI units for effective dose?
Sv which is J/Kg
Density
p = m/V
Gauge Pressure
Pg= P - Pa is actual pressure inside the vessel take atmospheric pressure
Tension Force
T + Fb = mg tension force plus buoyant force must equal the downward force
For every action there is an equal and opposite reaction, force is an interaction between two objects
Fab = Fba
What can you use to add vectors?
Tip to tail method or Pythagoras a2 + b2 = c2
Sedimentation
The net force downward is mg - Fb - D where D is the drag force due to viscosity of the fluid. Therefore increasing velocity increase drag force and slows the particle down, so bigger particles fall faster, eventually every particle reaches a terminal speed
Change in kinetic energy
deltaKE = W change in kinetic energy is work done on the object
First, second and third class levers
First: Force down, fulcrum, weight (head)
Second: Force up, weight, fulcrum (foot)
Third: Weight, force up, fulcrum (arm)
The mechanical advantage
R(Fp)/r (mg)= mechanical advantage, the mechanical advantage of a simple pulley is 2T = mg, you still have to exert the same force to lift the object but you are pulling instead of pushing
The speed of an object in circular motion
v =2.Pi.r/T the speed of an object in circular motion is the circumference/ over the time it takes for one revolution
No. of G’s
a/9.8 = the number of gravities created by the force/acceleration of the circular motion. This is used to amplify g in sedimentation (i.e. centrifuges)
How to find elastic potential energy
Force over extension graph, elastic potential energy is under the line
Boyle’s Law, pressure and volume relationship
P1V1 = P2V2 they are proportional when temperature is constant
Charle’s Law, volume and temperature relationship
V1/V2 = T1/T2, volume of gas increases linearly with temperature for a fixed amount of gas
Temperature, pressure and volume relationship
P1V1/T1 = P2V2/T2 When the volume is constant pressure is proportional to temperature
Number of moles
n = M/m number of moles is mass over molar mass
Number of atoms
6.022x10^23 molecules/mole
Energy equivalence of oxygen
1 L of O2 is used for 20.2KJ of energy
Osmotic pressure
PI = (n/v)RT no. mol. solute per volume by the universal gas constant by temperature
1 Kcal
1.186 J of work
Rate of convection
delta Q/ delta t = hA delta T constant h by the surface area by the temperature difference
Internal energy of a system
delta U = Qin - Wout
Isothermal process
delta T is zero therefore delta U is zero and the energy in is the work out
Adiabatic process
Qin is zero and therefore delta U is -ve Wout
Current
I = delta Q / delta t, number of charges per time
Equilibrium Potential (Nerves)
Eion = RT/F .ln Ion o/ Ion i flip ions for Cl
Nernst equation
Ek = 60log. Ion o/ Ion i
Cell potential GHKE
Vm = RT/F .ln. pK(Ko) + pNa(Nao) + pCl(Cli) / pK(Ki) + pNa(Nai) + pCl(Clo)
Speed of wave
c = lambda f which is wavelength by frequency
Velocity of wave
v is proportional to lambda/T which is wavelength over time
Doppler effect
I is proportional to I/r^2 Intensity of sounds diminishes with distance
First, Second, Third harmonic open-ended
First, Third, Fifth harmonic closed one end
Closed both ends
Refer to sheet
Difference between real and virtual images
A real image has light passing through it and a virtual image is inverted and would not show up on a piece of paper at that point, this would happen if an object is placed at a distance less than or equal to f
Oscillations across two mediums
f1 = f2 frequency and oscillations must continue across a medium
An object at the focal point or far point
Di appears infinite
Combining lenses
1/fcom = 1/fa + 1/fb
Mass number
A = N + Z X element has A top left hand and Z bottom left hand
Protons
Z
Neutrons
N
Alpha decay
A-4 Z-2 + a an alpha particle is 2 protons and 2 neutrons
Beta decay plus
Z-1Y + beta +1 + v p+ is a n B+1 + v
Beta decay minus
Z+1Y + beta -1 + v n is a p+ + B-1 + v
Gamma decay
Excited atom loses energy, no change to protons or neutrons
Number of decays
N x probability of decay which is lambda.N.delta t
Number of photons removed
delta N = -micron N0 delta t the number of photons removed is the linear attenuation coefficient by the initial no. by the delta thickness
Radiation intensity
Intensity is I0 / R^2