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 13.39 ; 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 ? Figure 13-39 A typical vibration pattern of the Sun. (Problem 78)
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 13.39 ; 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 ? Figure 13-39 A typical vibration pattern of the Sun. (Problem 78)
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 13.39; 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?
Figure 13-39 A typical vibration pattern of the Sun. (Problem 78)
Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.
308 million people live on the planet Trigonometry. One day, as an experiment, all 308 million people climbed on tables and jump off (t=0) at the same time. The shock wave as they hit the surface starts the entire Trigonometry planet vibrating in such a way that its surface first moves down from its normal position, and then moves up an equal distance above its normal position. The lowest point the ground reached was 50 feet below the normal position, which occurred at t= 13.5 minutes. Assume the displacement of the surface was a sinusoidal function of time.
A. What is the amplitude of the vibration? Use a complete sentence to explain what the amplitude is and what it represents in the context of this scenario.
B. What is the period of the vibration? Use complete sentences to explain how you determined the period of the vibration and what it represents in the context of this scenario.
C. Sketch the graph showing displacement versus time. Label all axes and clearly represent important…
1. What would be the period of the pendulum if it is on the moon, where the acceleration due to gravity is one-sixth that on earth? 2. An airplane performs a loop-the-loop maintaining a constant speed of 180 mi/hr. (a.) What is the maximum radius of the loop? (b.) If the pilot weighs 150 lb, what will his apparent weight be at the bottom of the loop?
3. According to Rutherford and Bohr, what kind of force is necessary to keep atomic electrons in orbit and what provides this force?
4.Why is it more difficult to charge an object by rubbing on a humid day than on a dry day?
5. A battery having a voltage of 3.00 V is connected through a rheostat to a uniform wire 100 cm long. The wire has a resistance of the rheostat be in order that the voltage per millimeter of the wire shall be exactly 1 mV?
6. The sides of a right triangle are BC=3, AC=4, and AB=5 cm. if +10 statC charges are placed at the corners B and C, what is the magnitude and direction of the electric intensity at A?
M
3. A 20 g piece of clay moving at a speed of 50 m/s strikes a 500 g pendulum bob at rest.
The length of a string is 0.8 m. After the collision the clay-bob system starts to oscillate
as a simple pendulum.
d. What is the total energy of the oscillating system?
The pendulum bob makes one complete oscillation and the string breaks at the lowest
point.
e. What is the maximum horizontal distance of the bob when it strikes the floor 0.7 m
below?
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