Physics 2 Exam 1 Formulas

Fluids

100

Density

What is p= m/V

200

Pressure

What is p= F/A

300

Hydrostatic Condition

dp/dy = -pg

400

Constant Density

p(y)= p₀ - pgh

500

Pressure Amplitude of Sound Waves, Intensity-Distance Relationship

p_max= BkA , I = P/ 4pi*r^2

Oscillations

100

Differential Equation for Simple Harmonic Motion

d^2x/dt^2 + ω^2x = 0

200

Simple Harmonic Motion

x(t) = Acos(ωt+ phase angle)

300

Angular Frequency

ω = sqrt k/m

400

Frequency

f = 1/T = ω/2pi

500

Angular Frequency

w = 2pi*f = 2pi/T

Oscillations pt.2

100

Period

T= 1/f = 2pi/ω

200

Simple Pendulum

w = sqrt g/l

300

Physical Pendulum

w = sqrt mgd/I

400

Sound Intensity Level, Reference Intensity

β = (10 dB) log₁₀ (I/I₀) , I₀= 10^-12 W/m^2

500

Doppler Shifted Frequency, Beat Frequency

f_L= f_s (v+v_L/v+v_s) , f_beat= f_a-f_b

Waves and Sound

100

Wave Number

k = 2pi / λ

200

Wave Speed

v= f*λ = ω/k

300

Wave Function

y(x, t) = A cos(kx − ωt)

400

Wave Speed on a String

v= sqrt f/µ

500

Wave Speed in a Solid

v = sqrt Y/ p

Waves and Sound pt.2

100

Wave Speed in a Fluid

v = sqrt B/p

200

Frequency of Standing Waves

f_n= nv/ 2L or nv/4L

300

Wavelengths of Standing Waves

λ_n= 2L/n or 4L/n

400

Average Power of Waves on a String

P_av= 1/2 sqrt µF * ω^2 A^2 

500

Intensity of Sound Waves

I = 1/2 sqrt pB * ω^2 A^2 = P_max^2/ 2sqrt pB