In 1962, physicists at Cal Tech discovered that the surface of the Sun vibrates due to the violent nuclear reactions that roil within its core. This has led to a new field of solar science known as helioseismology. A typical vibration of the Sun is shown in FIGURE 13-39; it has a period of 5.7 minutes. The blue patches in Figure 13-39 are moving outward; the red patches are moving inward.
(a) Find the angular frequency of this vibration.
(b) The maximum speed at which a patch of the surface moves during a vibration is 4.5 m/s. What is the amplitude of the vibration, assuming it to be simple harmonic motion?