Question

2. (1) A pendulum clock makes use of the fact that the period of a pendulum is consistent and can be predicted relatively easy. What should the length of a pendulum be if the desired frequency of oscillation is. 3. (1) Near the shore, Tsunamis travel at a speed of 30 mph and the distance between crests is about 6.5 miles. What is the frequency of such a wave? Give your answer in units of Hz. When one crest hits the shore, how much time will pass before the next one makes it to shore? 4. There are two types of seismic waves associated with every earthquake, called P and s waves. They travel in every direction away from the source of an Earthquake called the epicenter. Because they each travel with different speeds, seismologists can determine the distance from a seismic station to an epicenter. An Earthquake occurred in an area where a P wave travels at 5 km/s and the S wave travels at 3 km/s. A seismic station measures an SP lag time of 16.9 seconds (meaning the P wave was detected 16.9 seconds before the S wave). How far is the epicenter from the seismic station? 5. 3 pts extra credit (I) A tunnel through the Earth. If you're ever on a Sunday walk and you stumble upon a hole in the ground that turns out to be a tunnel to the other side of the Earth, it would be a jolly good time to drop an object in the hole...as long as its not a cherished possession/living being. If air resistance isn't much of a factor, you'll find that the object will return to you...eventually. An object in a "center of Earth tunnel" is a harmonic oscillator and will move in a similar fashion to a mass attached to a spring. In this case, the "spring constant" is: where is the mass of the object you dropped, is the acceleration due to gravity at the Earth's surface (, and is the radius of the Earth (feel free to google this value). So let's say you "accidentally" dropped your textbook in this tunnel. How long would it take for it to make its way back to you?

Answer 1

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