Frustrated with Physics: Measuring Temperature Changes in the Ocean

AI Thread Summary
At a depth of 1000m, ocean temperature is 4 degrees Celsius with a sound speed of 1480m/s. A lab experiment indicates that a 4m/s increase in sound velocity corresponds to a 1-degree temperature rise. Given a distance of 8000km, the smallest detectable time change is 1 second, which limits the measurable speed change. This constraint implies that the smallest temperature change that can be reliably recorded is directly tied to the measurable speed increment based on the time resolution. Understanding these relationships is crucial for accurately measuring temperature changes in the ocean.
lostie100
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Ok. At a depth of 1000m, the ocean temp is 4 degrees celsius and the speed of sound is 1480m/s. From lab experiments, for every 4m/s increase in velocity, the temp increases by 1 degrees.
When the distance is 8000km, the smallest time change that can be detected is 1s, what is the smallest temp change that can be measured?

I am so frustrated w/ this question.
 
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lostie100 said:
Ok. At a depth of 1000m, the ocean temp is 4 degrees celsius and the speed of sound is 1480m/s. From lab experiments, for every 4m/s increase in velocity, the temp increases by 1 degrees.
When the distance is 8000km, the smallest time change that can be detected is 1s, what is the smallest temp change that can be measured?

I am so frustrated w/ this question.

Start with the smallest speed change you can effectively measure. If you can't resolve a sound wave that travels 8 x 10^6 m and know within 1 second when it started then you can't measure any finer scale of speed than that can you? So what would that be in terms of the smallest "increment" of speed that you can represent?

Knowing that can't you figure the smallest temp change that you can reliably record if you are basing your measurement on the measured speed?
 
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