A carousel that is 500 m in radius has a pair of 600Hz siren

A carousel that is 5.00 m in radius has a pair of 600-Hz sirens mounted on posts at opposite ends of a diameter. The carousel rotates with an angular velocity of 0.800 rad/s. A stationary listener is located at a distance from the carousel. The speed of sound is 350 m/s. The longest wavelength reaching the listener from the sirens is closest to

Solution

here, vs = rw = 5*0.8 = 4 m/s

           v = 350 m/s

           f0 = 600 Hz

the frequency is,

    f = f0[v / v+vs] = 593.2 Hz

wavelength = v/f = 0.59 m = 59 cm