An ambulance car is going with a speed of \( 60~\mbox{km/h}\), while a car is trying to go around it in a circle with a speed \(50~\mbox{km/h}\). If the sound that ambulance car emits has a frequency of \(1~\mbox{kHz}\), which frequency does the driver of the car hear in Hz when the ambulance car is in the center of the circle it makes, and the car makes an angle \(\theta = 30^\circ \) with the direction of the car?
Details and assumptions
by
David Mattingly
