PHIL 209J Lecture : Aquinas vs Hume.pdf

What is the phase constant (from 0 to 2p rad)for the harmonic oscillator with the velocity function v(t) given in Fig. 15-30 if the position function x(t) has the form x =xm cos(?t +f)? The vertical axis scale is set by vs = 4.0 cm.

A siren emits sound waves at a frequency f = 500 Hz. As the sirenand a
detector are moving toward each other with a relative speed vrel =90 m/s,
the detector measures a frequency of f' = 650 Hz. Find the speedsof the
source vs and of the detector vd. The speed of sound is 330 m/s.Hint: the
small velocity Doppler shift formula does not work here.