1. The record for the fastest marathon run is 26.164 miles in 2.08hours. If the runner were a progressive wave, how quickly would hebe traveling in m/s?
2. You have been asked to help in the design of a new powergenerator which harnesses the power of progressive waves travelinginto shore. The power generator has to be located in shallow waterright at the coastline, and the engineers have informed you thatthe machine will only operate at peak capacity when the incomingwave speeds are 6.5m/s. How deep do you dredge to ensure that thewaves coming in from the open ocean will keep the power generatorworking at peak capacity? Which wavelengths will diminish the powergenerator's efficiency?
3. On 11 March 2011, a 9.0 magnitude earthquake occured in thePacific Ocean, centered 99 kilometers SE from Kesennuma, Japan.Assuming that the water depth above the earthquake epicenter was2200 meters, how much time did the residents of Kesennuma (andnearby coastal villages) have to get to higher ground before theTsunami hit the coast?
4. The Earth's orbit around the sun is not a perfect circle; it is,in fact, elliptical. In January, the Earth is 147 million kiometersfrom the Sun. In July, the Earth is 152 kilometers from the Sun. Ifthe tide-generating force from the Sun is F(sun)=1/r^2, how do youthink the amplitude of the spring tides in winter would comparewith those of the spring tides in the summer (assuming northernhemisphere seasonality)?
1. The record for the fastest marathon run is 26.164 miles in 2.08hours. If the runner were a progressive wave, how quickly would hebe traveling in m/s?
2. You have been asked to help in the design of a new powergenerator which harnesses the power of progressive waves travelinginto shore. The power generator has to be located in shallow waterright at the coastline, and the engineers have informed you thatthe machine will only operate at peak capacity when the incomingwave speeds are 6.5m/s. How deep do you dredge to ensure that thewaves coming in from the open ocean will keep the power generatorworking at peak capacity? Which wavelengths will diminish the powergenerator's efficiency?
3. On 11 March 2011, a 9.0 magnitude earthquake occured in thePacific Ocean, centered 99 kilometers SE from Kesennuma, Japan.Assuming that the water depth above the earthquake epicenter was2200 meters, how much time did the residents of Kesennuma (andnearby coastal villages) have to get to higher ground before theTsunami hit the coast?
4. The Earth's orbit around the sun is not a perfect circle; it is,in fact, elliptical. In January, the Earth is 147 million kiometersfrom the Sun. In July, the Earth is 152 kilometers from the Sun. Ifthe tide-generating force from the Sun is F(sun)=1/r^2, how do youthink the amplitude of the spring tides in winter would comparewith those of the spring tides in the summer (assuming northernhemisphere seasonality)?
