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