##### Equations for boards

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created 5 years ago by Annabelle
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updated 5 years ago by Annabelle
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1

Density

d = m/v

2

Pressure

p = F/A

3

wavelength

λ = c/f

4

SPL

SPL = λ * n

5

Pd

pd = n * period

6

DF ALL

DF = TA/PA

DF = pd * PRF

7

Intensity

Intensity = Power (W) / area (cm2)

8

Attenuation

Attenuation = 1/2 * f * pathlength cm

9

Distance

d = 1/2 * ct

10

Refraction transmission angle

New angle = (New c / Old c) * old angle

11

IRC

IRC = reflected/incident

IRC = (z2 -z1) / (z2 +z1)

12

impedance

impedance = density * c

13

Matching layer thickness

thickness = .25λ

14

Lateral Resolution

RL = Beamwidth

15

Element thickness

1/2 λ

16

bandwidth

bandwidth = fmax - fmin

17

fractional bandwidth

fractional bandwidth = bandwidth/fO

18

Q factor

Qf = fO/bandwidth

19

Doppler Shift

FD = (2 * Vcos0 * f0)/c

20

Volumetric flow rate formula

Flow rate = V/t

21

pressure above the heart

above = CP - HP

22

Poiseuille's equation

flow = pressure*diameter/ strength*viscosity

steady flow in a long straight tube

23

Reynolds #

R# = (average flow speed * diameter * density) / viscosity

24

NZL Formula

(D2 * f) / 6

25

Axial resolution

RA = 1/2 SPL