In 1962, physicists at Cal Tech discovered that the surface of the Sun vibrates due to the...

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; it has aperiod of 5.7 minutes. The blue patches in Figure 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 duringa vibration is 4.5 m/s. What is the amplitude of the vibration, assuming it to be simple harmonic motion?

FIGURE A typical vibration pattern of the Sun.