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In 1962, physicists at Cal Tech discovered that the
Chapter 13, Problem 83GP(choose chapter or problem)
Helioseismology 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 13–27; it has a period of 5.7 minutes. The blue patches in Figure 13–27 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?
Questions & Answers
QUESTION:
Helioseismology 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 13–27; it has a period of 5.7 minutes. The blue patches in Figure 13–27 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?
ANSWER:
Solution 83 GP:
Step 1 of 2:-
a)
Here we have to find the angular frequency of the vibration.
The time period s given as,
.
We know that,
.
So, the angular frequency is 0.018 rad/s.