Exam 1

Question 1

Density formula

Answer 1

ρ = m/V

Question 2

SI Unit of Density

Answer 2

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

Question 3

Density of Air (kg/m^3)

Answer 3

1.20 kg/m^3

Question 4

Density of Water (kg/m^3)

Answer 4

1.00 * 10^3 kg/m^3

Question 5

Pressure formula

Answer 5

p = F/A

Question 6

SI Unit of Pressure

Answer 6

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

Question 7

Atmospheric Pressure

Answer 7

1 atm = 101.325 kPa

Question 8

Pressure at Depth Formula

Answer 8

ρ = patm + ρgh

Question 9

Pascal’s Principle of Hydrostatics

Answer 9

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

Question 10

Gauge Pressure Formula

Answer 10

p-patm = ρgh

Question 11

Archimedes’s Principle

Answer 11

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.

Question 12

Continuity Equation Formula

Answer 12

A1v1 = A2v2

Question 13

Volume Flow Rate Formula

Answer 13

dV/dt = Av

Question 14

Bernoulli’s Equation

Answer 14

p + ρgy + (1/2)ρv^2 = constant

Question 15

Frequency Formula

Answer 15

f = 1/T

Question 16

Angular Frequency Formula

Answer 16

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

Question 17

Restoring Force of Ideal Springs

Answer 17

Fx = -k*x

Question 18

Simple Harmonic Motion Displacement Formula

Answer 18

x(t) = Acos(ωt+ϕ)

Question 19

Simple Harmonic Motion Velocity Formula

Answer 19

v(t) = -ωAsin(ωt+ϕ)

Question 20

Simple Harmonic Motion Acceleration Formula

Answer 20

a(t) = -ω^2*Acos(ωt+ϕ)

Question 21

Arc Length Formula

Answer 21

x = L*θ

Question 22

Force Constant Substitute Formula

Answer 22

k = (mg)/L = (2π/T)^2I

Question 23

SHM Period Formula

Answer 23

T = 2πrad(L/g)

Question 24

Physical Pendulum Period Formula

Answer 24

T = 2πrad(I/(mgd)) where d is distance to COG

Question 25

Physical Pendulum Acceleration Formula

Answer 25

a(t) = (-m*g*d)/I * θ

Question 26

Transverse Wave

Answer 26

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

Question 27

Longitudinal Wave

Answer 27

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

Question 28

Wave Speed Formula

Answer 28

v = λ*f = ω/k

Question 29

Wave Displacement Function for a Sinusoidal Wave

Answer 29

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.

Question 30

What is A?

Answer 30

Amplitude (m)

Question 31

What is the spatial frequency (k)?

Answer 31

Wave Number (k) = (2*π)/λ

Question 32

Wave Acceleration Function for a Sinusoidal Wave

Answer 32

a = -ω^2*y

Question 33

Wave Velocity Formula for a Sinusoidal Wave

Answer 33

v = rad(Ftension/μ)

Question 34

Linear Mass Density Formula

Answer 34

μ = m/L

Question 35

Average Power for a Sinusoidal Wave Formula

Answer 35

Pav = (1/2)*rad(μ*F)*ω^2*A^2

Question 36

Maximum Power for a Sinusoidal Wave Formula

Answer 36

Pmax = 2*Pav

Question 37

Fundamental Mode of a Stationary Wave

Answer 37

L = λ/2

Question 38

Overtone Formula

Answer 38

λn = (2*L)/n

Question 39

Wave Intensity Formula

Answer 39

I = P/Area

Question 40

Frequency of Overtone Formula

Answer 40

fn = nf1

Question 41

Fundamental Frequency Formula

Answer 41

f1 = (1/2L)*rad(F/μ)

Question 42

Overtone to Harmonic

Answer 42

Harmonic = Overtone - 1

Question 43

Pressure of Sound Wave Formula

Answer 43

P(x,t) = BkAsin(kx-ωt)

Question 44

Maximum Pressure of Sound Wave Formula

Answer 44

Pmax = BkA

Question 45

Velocity of Sound Wave in Fluid

Answer 45

v = rad(B/ρ)

Question 46

Velocity of Sound Wave in Solid

Answer 46

v = rad(Y/ρ) where Y = stress/strain

Question 47

Velocity of Sound Wave in Gas

Answer 47

``` 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 ```

Question 48

Intensity of a Sound Wave Formula

Answer 48

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

Question 49

Intensity of a Sound Wave in Decibels Formula

Answer 49

β(dB) = 10*log(I/I0) where I) = Izero

Question 50

What is I0 (Izero)?

Answer 50

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

Question 51

Open Pipe Frequency Formula

Answer 51

fn = (nv)/(2L)

Question 52

Closed Pipe Frequency Formula

Answer 52

fn = (nv)/(4L)

Question 53

Doppler's Effect Formula

Answer 53

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