Chapter 12, Problem 6P

In 400 m depth water, a 17 sec period wave has a wave angle of  ? = 60 degrees and a wave height of 2.3 m. What is the angle ? of the wave in 6 m depth water, in degrees?

An offshore platform is built to withstand ocean wave forces.(a) The annual maximum wave height of the ocean waves (above mean sea level) is a random variable with a Gaussian distribution having a mean height of 4.0 m and a c.o.v. of 0.80. What is the probability that the wave height will exceed 6 m in a given year?(b) If the platform were to be designed for a wave height (above mean sea level) such that it will not be exceeded by ocean waves over a period of 3 years with a probability of 80%, what should be the platform height above the mean sea level? Wave height exceedances between years are statistically independent.

Organ pipe A, with both ends open, has a first harmonic at frequency 300 Hz.  Organ pipe B, with one open end, has a fifth harmonic of the same frequency.   a. What is the length of each pipe?   b. Sketch the standing wave associated with each pipe.  c. discuss the physics responsible for the standing wave existing in the organ pipe.