Equations & Physical Laws Flashcards

1
Q

What does the equation for Pressure Gradient Force state?

A

PGF is inversely proportional to air density (as one increases, the other decreases)

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2
Q

What does the equation for The Coriolis Effect state?

A

Magnitude of deflection is directly proportional to horizontal air velocity and the sine of latitude.

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3
Q

What does the Law of Inertia state?

A

Objects in motion tend to stay in motion with the same speed and direction - unless acted upon by an unbalanced force.

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4
Q

What does the equation for Lapse Rate tell you?

A

Rate at which temperature decreases with increasing altitude.

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5
Q

What does the Ideal Gas Law state?

A

Gas pressure in a volume is linearly proportional to it’s mass density and temperature.
Pressure always causes changes in temperature and air density when dry air gas is constant

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6
Q

What does the First Law of Thermodynamics state?

A

Change in internal energy is equal to the heat added to the system, minus work done by the system.
Total energy of an isolated system is constant.

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7
Q

What does the Stefan-Boltzmann Law tell you?

A

Radiation emission of a black-body is directly proportional to the fourth power of it’s temperature.
Temperature increase = radiation intensity & emission increase

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8
Q

What does the Planck Radiation Law tell you?

A

The hotter an object gets, the more energy is radiated.
(Radiance is a function of temperature and wavelength)
~ Hotter objects emit shorter wavelengths at a higher power

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9
Q

What does the Continuity Equation state?

A

The rate at which mass enters a system is equal to the rate at which mass leaves the system.
(Upwelling and Downwelling are examples of mass continuity)

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10
Q

What does the Beer-Lambert Law state?

A

The absorbance of a material sample is directly proportional to it’s thickness/properties (explains why different gases have different absorbance characteristics)

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11
Q

What does the Hydrostatic Equation state?

A

Pressure decreases with height

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12
Q

What is the equation for Hydrostatic Equilibrium an expression of?

A

An air parcel in an air column which is hydro statically balanced -> whereby PGF=Gravity

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13
Q

What does Kirchoff’s Law state?

A

Absorptivity of a body must equal it’s emissivity at every wavelength

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14
Q

Does PGF change?

A

No

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15
Q

What direction does the Coriolis force send parcels in the Northern Hemisphere and what does this cause?

A

Right - winds blow anti-clockwise around low pressure zones

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16
Q

What does Buoys Ballot Law state?

A

In the Northern Hemisphere, when back is to the wind Low pressure is to the Left.

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17
Q

What movement does the Pressure Gradient force facilitate and where does this mostly occur?

A

Movement of air from areas of high pressure to areas of low pressure - occurs most at high altitudes.

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18
Q

Which wind is IDEALIZED and where does it occur?

A

Geostrophic - at the point of balance between the PGF and Coriolis Effect

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19
Q

In what system does the gradient wind flow at sub-geostrophic speed?

A

Low Pressure System

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20
Q

How much Centripetal Force does the Geostrophic wind have?

A

0

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21
Q

Which forces does the Gradient Wind balance?

A

Coriolis Effect, PGF and Centrifugal Force

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22
Q

When does wind flow parallel to straight isobars?

A

When it is Geostrophic

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23
Q

Does geostrophic wind occur at the surface? Why?

A

No - due to frictional forces from the surface (greater on land)

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24
Q

Which force is apparent?

A

Centrifugal

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25
Q

To what degree does both the Centrifugal and Centripetal forces act in relation to a body’s motion?

A

90 degrees

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26
Q

Does the Centrifugal Force alter speed?

A

No

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27
Q

Give a real-life example of the Centripetal and Centrifugal Forces acting together.

A

When twirling a mass on a string, the string exerts an inward force on the mass (centripetal), while another force appears to pull the mass outward (centrifugal). The balance maintains the ‘orbit’- if centripetal becomes more dominant, the circumference of the ‘orbit’ will reduce.

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28
Q

What happens when Centripetal and Centrifugal forces are exactly balanced?

A

Angular velocity stays contant

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29
Q

What do isobars on a map do?

A

Join places of equal atmospheric pressure.

30
Q

What is the lowest part of the atmosphere?

A

Troposphere (~10km)

31
Q

How much of the atmospheres total mass does the Troposphere contain?

A

75%

32
Q

Which layer of the atmosphere has very nigh temperatures? Why?

A

Ionosphere/Thermosphere - due to energy release from atmospheric particle & molecule dissociation (caused by incoming solar/cosmic ray particles)

33
Q

How would you describe rate of temperature decrease with height in the troposphere?

A

Constant

34
Q

Where in the atmosphere does ‘suppression of convection’ (heater particles rise, cooler particles sink) occur?

A

Stratosphere

35
Q

Where is the coldest region on Earth and why?

A

Mesopause - lack of heating and strong radiative cooling from CO2

36
Q

Why does temperature increase in the stratosphere?

A

Increase in absorption of infrared solar radiation by ozone

37
Q

Why is the Stratosphere named how it is?

A

Greek word “stratos” - reflecting how particles are arranged and not mixed.

38
Q

Which atmospheric variables rapidly decrease with height?

A

Air density, molecule number density and pressure

39
Q

What is the Environmental Lapse Rate?

A

Lapse rate of non-rising air.

40
Q

What are the 2 tropospheric regimes and which has the higher lapse rate?

A

Tropical (higher LR: 6.5K km-1) and Mid-High Latitudes

41
Q

What variable does the concept of Hydrostatic Balance ignore?

A

Motions

42
Q

What other variable is used as a vertical co-ordinate as well as height and why?

A

Pressure - higher pressure at lower altitudes

43
Q

What does WARMING air do in the vertical?

A

Expands, decreases in density and rises

44
Q

What are the 3 energies associated with dry air?

A
  1. Total Energy
  2. Heat Gain/Loss
  3. Work
45
Q

What is an Adiabatic Process?

A

One that occurs without matter/heat transfer between a system and it’s surroundings.

46
Q

When an air parcel is displaced, what are the 3 possibilities of action it could follow?

A

1) Remain at new location (neutral)
2) Rise & Accelerate (unstable)
3) Pushed back to original position (stable)

47
Q

When an air parcel is displaced, and starts to rise - what is it’s weight in relation to ambient air?

A

Lighter

48
Q

What happens when an air parcel is displaced downwards vertically?

A

It will shrink - so air pressure and temperature will decrease.

49
Q

What does the expansion/contraction effect of displaced air parcels tell us?

A

Whether it is stable or unstable

50
Q

What is relative humidity?

A

Amount of water vapor present in the air

51
Q

What will happen if environmental temperature changes with height by the same amount as when the air parcel is displaced?

A

The parcel will be neutral - won’t move forward or backward

52
Q

What is the Dew Point?

A

The temperature at which a cooled air parcel reaches saturation.

53
Q

What is the pressure of water vapor when in equilibrium with the liquid phase names?

A

Saturation Vapor Pressure

54
Q

What does the Clausius-Clapeyron equation show?

A

Rate of increase in vapor pressure per unit increase in temperature. It relates substance pressure to temperature.

55
Q

What are the two effects of air parcel saturation?

A

1) Cloud formation

2) Latent heat release from evaporation - causing the parcel to become warm & more buoyant

56
Q

What is Specific Humidity?

A

Ratio of mass of water vapor to total mass of a moist air parcel

57
Q

When temperature decreases, what happens to the amount of water vapor needed to reach saturation?

A

It decreases

58
Q

With increase in latitude, water vapor…

A

Decreases

59
Q

What decreases with altitude and latitude?

A

Pressure

60
Q

Give 3 reasons why tropospheric temperature decreases with height.

A

1) Troposphere is mostly warmed by the ground
2) Air density & pressure is highest at Earth surface - as pressure decreases, air rises and expands, so temperature decreases
3) Air mixing distributes energy vertically upwards.

61
Q

What is light composed of?

A

Elementary waves with different frequencies

62
Q

What is inversely proportional to wavelength?

A

Frequency

as wavelength increases, frequency decreases

63
Q

What causes emission of electromagnetic radiation from a solid body/gas?

A

Thermal motion of molecules/atoms leads to disorderly motion of electrons/ protons -> disorderly motion = emission.

64
Q

What is the EM radiation generated by the thermal motion of charged particles in matter?

A

Thermal Radiation = HEAT

65
Q

What is thermal motion?

A

Movement of a particle associated with the particles thermal energy/temperature

66
Q

Above what temperature do objects radiate EM energy (thus cool/lose energy)

A

0K

67
Q

What is the equivalent to 1K in degrees Celcius?

A

-272.15

68
Q

Wht electron movement releases EM radiation?

A

Jumping to and from higher atomic ‘shells’ due to excitation from collisions

69
Q

What are the two properties of a Black Body?

A

1) Ideal Emitter

2) Diffuse Emitter

70
Q

What is a Diffuse Emitter able to do?

A

Emit radiation at the same intensity in all directions (isotropic properties)

71
Q

What is an Ideal Emitter able to do?

A

Emit as much/more thermal radiative energy as any other body at the same temperature, at every frequency.

72
Q

3 ways heat is transported:

A

1) Radiation - no mass exchange, no medium needed
2) Conduction - no mass exchange, medium needed
3) Convection - mass exchange