MARI201 Equations

Question 1

P = -pgz

Answer 1

Hydrostatic pressure equation (Pa)

Question 2

P = ?

Answer 2

Hydrostatic pressure

Question 3

p = ?

Answer 3

Density

Question 4

g = ?

Answer 4

Gravity

Question 5

z = ?

Answer 5

Depth

Question 6

f = 2Ωsin(Φ)

Answer 6

Coriolis parameter equation (/s)

Question 7

f = ?

Answer 7

Coriolis parameter

Question 8

Ω = ?

Answer 8

Angular velocity of Earth (constant)

Question 9

sin(Φ) = ?

Answer 9

Latitude (Southern Hemisphere is negative value)

Question 10

du/dt = fv

Answer 10

Acceleration produced by the Coriolis Force equation (ms⁻²)

Question 11

fv = ?

Answer 11

Velocity on the y-axis (north/south)

Question 12

dv/dt = -fu

Answer 12

Acceleration produced by the Coriolis Force equation (ms⁻²)

Question 13

-fu = ?

Answer 13

Velocity on the x-axis (east/west)

Question 14

Dᴇ = √2*K/|f|

Answer 14

Ekman layer depth equation (m)

Question 15

K = ?

Answer 15

Vertical eddy diffusivity (500m²/s)

Question 16

|f| = ?

Answer 16

True value of f (Coriolis parameter)

Question 17

τ = CᴅPᴀW²

Answer 17

Wind stress equation (m/s)

Question 18

Cᴅ = ?

Answer 18

Drag coefficient (no units) (constant)

Question 19

Pᴀ = ?

Answer 19

Density of air (m⁻³) (constant)

Question 20

W² = ?

Answer 20

Wind speed (m/s)

Question 21

Uᴇ = τᵧ/PDᴇf

Answer 21

Ekman layer velocity equation (m/s)

Question 22

τᵧ = ?

Answer 22

Wind stress on the y-axis (north/south)

Question 23

Vᴇ = -(τₓ/PDᴇf)

Answer 23

Ekman layer velocity equation (m/s)

Question 24

τₓ = ?

Answer 24

Wind stress on the x-axis (east/west)

Question 25

T = 2*π/|f|

Answer 25

Period of inertial oscillation equation (s)

Question 26

u = - (g/f)*(δη/δy)

Answer 26

Geostrophic velocity equation (m/s)

Question 27

u = ?

Answer 27

Geostrophic velocity on y-axis (north/south)

Question 28

δη = ?

Answer 28

Difference in sea level (m)

Question 29

δy = ?

Answer 29

Horizontal distance (m)

Question 30

v = (g/f)*(δη/δx)

Answer 30

Geostrophic velocity equation (m/s)

Question 31

v = ?

Answer 31

Geostrophic velocity on y-axis (north-south)

Question 32

δx = ?

Answer 32

Horizontal distance (m)

Question 33

x² = 4*k*t

Answer 33

Spreading due to 2D horizontal diffusion equation (m)

Question 34

k = ?

Answer 34

Horizontal eddy diffusivity (500m²/s)

Question 35

t = ?

Answer 35

Time (s)

Question 36

V = u*w*d

Answer 36

Volume flux equation (m³/s)

Question 37

w = ?

Answer 37

Width (m)

Question 38

d = ?

Answer 38

Depth (m)

Question 39

Q = p*Cp*T*u*w*d

Answer 39

Heat flux equation (Wm³/s)

Question 40

Cₚ = ?

Answer 40

Specific heat capacity of seawater (constant)

Question 41

T = ?

Answer 41

Temperature

Question 42

Rₒ = u/(|f|*L)

Answer 42

Rossby number equation (Rₒ)

Question 43

L = ?

Answer 43

Length scale of feature

Question 44

E = 1/8 p*g*H²

Answer 44

Wave energy per unit area equation (kg/s)

Question 45

H = ?

Answer 45

Wave height (m)

Question 46

EF = cE

Answer 46

Wave energy flux equation (Wm⁻²)

Question 47

h/L ≥ 1/2

Answer 47

Classification scheme used to identify deep water waves

Question 48

h/L ≤ 1/20 (or 1/0.05)

Answer 48

Classification scheme used to identify shallow water waves

Question 49

h = ?

Answer 49

Water depth (m)

Question 50

L = ?

Answer 50

Wavelength

Question 51

c = √gL/2π

Answer 51

Expression to calculate the speed of a deep water wave

Question 52

c = √gh

Answer 52

Expression to calculate the speed of a shallow water wave

Question 53

c = ?

Answer 53

Speed

Question 54

γ = H/h

Answer 54

Wave breaking parameter equation (unitless) If γ < 0.8, no wave breaking occurs If γ ≥ 0.8 wave breaking occurs

Question 55

P = 1/32π p*g²*H²*T*Lc

Answer 55

Power per unit wave crest equation (W)

Question 56

T = ?

Answer 56

Wave period

Question 57

Lc = ?

Answer 57

Crest length (m)