Further Mechanics & Thermal Flashcards
Absolute scale
Temperature scale in kelvins (K) defined in terms of absolute zero, 0K, and the triple point of water, 273.16K, which is the temperature at which ice, water and water vapour are in thermal equilibrium.
Absolute temperature T
…in kelvin = temperature in degrees C +273(.15)
Absolute zero
The lowest possible temperature, the temperature at which an object has minimum internal energy.
Angular displacement
The angle an object in circular motion turns through. If its time period is T and its frequency is f, its angular displacement in time t, in radians = 2pift = 2pi*t/T
Angular frequency (omega)
For an object oscillating at frequency f in simple harmonic motion, its angular frequency = 2pif
Angular speed (omega)
The rate of change of angular displacement of an object in circular (or orbital or spinning) motion.
Boiling point
The temperature at which a pure liquid at atmospheric pressure boils.
Boltzmann constant
The molar gas constant divided by the Avogadro number.
Boyles Law.
For a fixed mass of gas at constant temperature, its pressure X its volume is constant. The gas that obeys Boyles’ Law is said to be an ideal gas.
Brownian motion
The random and unpredictable motion of a particle such as a smoke particle caused by molecules of the surrounding substance colliding at random with the particle. Its discovery provided evidence for the existence of atoms.
Celsius scale
Temperature in degrees Celsius or °C is defined as absolute temperature in Kelvins -273.15. This definition means that the temperature of pure melting ice is 0°C.And the temperature of steam at standard atmospheric pressure is 100°C
Centripetal acceleration
Acceleration on an object required to keep it in circular motion. a = v²/r = ω²r.
Charles’ law
For a fixed mass of an ideal gas at constant temperature, its volume is directly proportional to its absolute temperature in Kelvin.
damped oscillations
Oscillations that reduce in amplitude due to the presence of resistive forces such as friction and drag.
- For a lightly damped system, the amplitude of oscillations decreases gradually.
- For a heavily damped system displaced from equilibrium then released, the system slowly returns to equilibrium without oscillating.
- For a critically damped system, the system returns to equilibrium in the least possible time without oscillating.
forced vibrations
vibrations (oscillations) of a system subjected to an external periodic force.
free vibrations
vibrations (oscillations) where there is no damping and no periodic force acting on the system, so the amplitude of the oscillations is constant.
heat (Q)
energy transfer due to difference of temperature.
heat capacity
the energy needed to raise the temperature of an object by 1K
ideal gas
a gas under conditions such that it obeys Boyle’s law.
ideal gas equation
pV = nRT, where p is the gas pressure, V is the gas volume, n is the number of moles of gas, T is the absolute temperature and R is the molar gas constant.
Internal energy
Of an object is the sum of the random distribution of the kinetic and potential energy is of its molecules
Kinetic theory of a gas
1) Assumptions; A glass consists of identical point molecules which do not attract one another. The molecules are in continual random motion colliding elastically with each other and with the container.
2) pV=1/3Nmc², p-pressure, V-volume of container, N - number of molecules, m-mass of each molecule, c²- The mean square speed of the gas molecule
Latent heat of fusion
The energy needed to change the state of the solid to a liquid without change of temperature
Latent heat of vaporisation
The energy needed to change the state of a liquid to a vapour without change of temperature
mean kinetic energy
for a molecule in a gas at absolute temperature T, its mean KE is 3kT/2, where k is the Boltzmann constant
melting point
the temperature at which a pure substance melts
molar gas constant
R, where pV=nRT
molar mass
the mass of one mole of a substance
molarity
the number of moles in a certain quantity of a substance
mole
one mole of a substance consisting of identical particles is the quantity of substance that contains 6.02x10²³ particles of the substance
Natural Frequency
The frequency of free oscillations of an oscillating system
Periodic Force
A force that varies regularly in magnitude with a definite time period
Pressure law
for a fixed mass of an ideal gas at constant volume, its pressure is directly proportional to its absolute temperature
Radian
1 Radian= 360/2π degrees , 2π Radians= 360 degrees
Resonance
The amplitude of vibration of an oscillating system subjected to a periodic force is largest when the periodic force has the same frequency as the resonant frequency of the system. for a lightly damped system, the frequency of the periodic force = natural frequency of the oscillating system. At resonance, the system vibrates such that its velocity is in phase with the periodic force.
Resonant frequency
the frequency of an oscillating system in resonance
Root mean square speed
square root of the mean value of the square of the molecular speeds of the molecules of a gas
simple harmonic motion
motion of an object where the acceleration towards equilibrium position is proportional to the displacement of the object from equilibrium and in the opposite direction
specific heat capacity c
of a substance is the energy needed to raise the temperature of 1kg of the substance by 1K without changing the state (Q = mcΔT)
specific latent heat of fusion
of a substance is the energy needed to change the state of 1kg of solid to liquid without a change in temperature (Q = ml)
specific latent heat of vaporisation
of a substance is the energy needed to change the state of 1kg of liquid to vapour without a change in temperature (Q = ml)
sublimation
change of state when a solid changes directly into vapour
temperature
degree of hotness of an object defined in terms of fixed points e.g. the triple point of water
thermal energy
internal energy of an object due to temperature
thermal equilibrium
when no overall heat transfer occurs between two objects at the same temperature
Uniform circular motion
Motion of an object moving at constant speed along a circular path.