   Physics 232. Heat, Sound, and Light

Equations for Exam II - oscillations and waves

Constants, such as values for , bulk moduli, will be provided as needed.

15.1 Force on a mass on a spring 15.6 Equation of motion for mass on a spring 15.9 Angular frequency for mass on a spring 15.10-14 Relations between frequencies and periods.
• • • 15.15 Velocity of mass on a spring 15.16 Acceleration of mass on a spring 15.21 Total energy of a simple harmonic oscillator 15.26 Period of a simple pendulum 16-1 Equation for travelling wave (To right) (To left)

16.5 Wave function for travelling sinusoidal wave: where and are the spatial and angular frequency or...                                     y(x,t) = A sin [2*pi(x/lambda - t/T)]
where and are the spatial and temporal periods.

16.12 Golden rule" of waves: 16.14 Transverse speed of sinusoidal wave on string 16.15 Transverse acceleration of sinusoidal wave on string 16.18 Speed of a wave on a string where is the tension, and is the linear mass density of string 16.- Kinetic energy stored in 1 of a wave on a string 16.20 Total energy stored in 1 of a wave on a string 16.21 Power of sinusoidal wave on string (energy per period T) 17.1 Speed of sound in medium with bulk modulus and density  17.1b Speed of sound in air as a function of temperature 17.2 If the displacement of air elements as sound passes is given by 17.3 then the variation in pressure is given by 17.4 Maximum pressure amplitude for the above wave 17.- Power transmitted by a sound wave through area A 17.5 Intensity of a sinusoidal sound wave 17.- Intensity of a sinusoidal sound wave 17.6 Intensity of a sinusoidal sound wave (in terms of pressure ampl) 17.7 Inverse square law: intensity as function of distance from source 17.8 Sound level in decibels 17.13 Doppler shifted frequency,  where is the frequency at the source, is sound speed, is the observer's speed (negative if away from source), and is the source speed (negative if away from observer).

18.- Superposition principle 18.- Superposition of two sinusoidal waves travelling to the right where is the amplitude of both waves, is the phase shift between the two waves
18.2 Interference conditions for path length difference • Constructive: • Destructive: • where 18.3 Standing wave - sum of two identical waves travelling in opposite directions    