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Flashcards in Exam 1 Deck (53):
1

Density formula

ρ = m/V

2

SI Unit of Density

1 kg/m^3 (also equals 1 g/cm^3)

3

Density of Air (kg/m^3)

1.20 kg/m^3

4

Density of Water (kg/m^3)

1.00 * 10^3 kg/m^3

5

Pressure formula

p = F/A

6

SI Unit of Pressure

1 Pascal = 1 Pa = 1 N/m^2

7

Atmospheric Pressure

1 atm = 101.325 kPa

8

Pressure at Depth Formula

ρ = patm + ρ*g*h

9

Pascal's Principle of Hydrostatics

A pressure change occurring anywhere in a confined incompressible fluid is transmitted throughout the fluid such that the same change occurs everywhere.

10

Gauge Pressure Formula

p-patm = ρ*g*h

11

Archimedes's Principle

When a body is completely or partially submerged in a fluid, the fluid exerts an upward force on the body equal to the weight of the fluid displaced by the body.

12

Continuity Equation Formula

A1*v1 = A2*v2

13

Volume Flow Rate Formula

dV/dt = Av

14

Bernoulli's Equation

p + ρ*g*y + (1/2)*ρ*v^2 = constant

15

Frequency Formula

f = 1/T

16

Angular Frequency Formula

ω = 2*π*f = (2*π)/T = rad(k/m) = rad(g/L)

17

Restoring Force of Ideal Springs

Fx = -k*x

18

Simple Harmonic Motion Displacement Formula

x(t) = Acos(ωt+ϕ)

19

Simple Harmonic Motion Velocity Formula

v(t) = -ωAsin(ωt+ϕ)

20

Simple Harmonic Motion Acceleration Formula

a(t) = -ω^2*Acos(ωt+ϕ)

21

Arc Length Formula

x = L*θ

22

Force Constant Substitute Formula

k = (m*g)/L = (2π/T)^2*I

23

SHM Period Formula

T = 2*π*rad(L/g)

24

Physical Pendulum Period Formula

T = 2*π*rad(I/(m*g*d)) where d is distance to COG

25

Physical Pendulum Acceleration Formula

a(t) = (-m*g*d)/I * θ

26

Transverse Wave

A wave where the displacement of the medium is perpendicular to the travel of the wave, i.e. wave on string.

27

Longitudinal Wave

A wave where the displacement of the medium is parallel to the travel of the wave, i.e. sound wave.

28

Wave Speed Formula

v = λ*f = ω/k

29

Wave Displacement Function for a Sinusoidal Wave

y(x,t) = Acos(kx±ωt) = Acos[2π(x/λ±t/T)]
Opposite Symbol in terms of the velocity, so +v dir. subtracts while -v dir. adds.

30

What is A?

Amplitude (m)

31

What is the spatial frequency (k)?

Wave Number (k) = (2*π)/λ

32

Wave Acceleration Function for a Sinusoidal Wave

a = -ω^2*y

33

Wave Velocity Formula for a Sinusoidal Wave

v = rad(Ftension/μ)

34

Linear Mass Density Formula

μ = m/L

35

Average Power for a Sinusoidal Wave Formula

Pav = (1/2)*rad(μ*F)*ω^2*A^2

36

Maximum Power for a Sinusoidal Wave Formula

Pmax = 2*Pav

37

Fundamental Mode of a Stationary Wave

L = λ/2

38

Overtone Formula

λn = (2*L)/n

39

Wave Intensity Formula

I = P/Area

40

Frequency of Overtone Formula

fn = nf1

41

Fundamental Frequency Formula

f1 = (1/2L)*rad(F/μ)

42

Overtone to Harmonic

Harmonic = Overtone - 1

43

Pressure of Sound Wave Formula

P(x,t) = BkAsin(kx-ωt)

44

Maximum Pressure of Sound Wave Formula

Pmax = BkA

45

Velocity of Sound Wave in Fluid

v = rad(B/ρ)

46

Velocity of Sound Wave in Solid

v = rad(Y/ρ) where Y = stress/strain

47

Velocity of Sound Wave in Gas

v = rad(γRT/M) where
R = Ideal Gas Constant = 8.314 J/molK
T = Tc + 273
M = Molar Mass
γ = 1.4 diatomic, 1.6 monotomic

48

Intensity of a Sound Wave Formula

I=Pmax/Area = Pm^2/(2ρv) = Pm^2/(2rad(ρB))

49

Intensity of a Sound Wave in Decibels Formula

β(dB) = 10*log(I/I0) where I) = Izero

50

What is I0 (Izero)?

I0 (Izero) = 10^-12 W/m^2

51

Open Pipe Frequency Formula

fn = (nv)/(2L)

52

Closed Pipe Frequency Formula

fn = (nv)/(4L)

53

Doppler's Effect Formula

fo = (v±vL)/(v±vs)*fs
where
Top: + if listener is approaching source
Bottom: - if source is approaching listener