It has been modeled by the function
C = 1449.2 + 4.6T – 0.055T^2 + 0.00029T^3 + (1.34 – 0.01T)(S – 35) + 0.016D
where C is the speed of sound (in meters per second), T is the temperature (in
degrees Celsius), S is the salinity (the concentration of salts in parts per thousand,
which means the number of grams of dissolved solids per 1000 g of water), and D
is the depth below the ocean surface (in meters). Compute
dC/dT, dC/dS, dC/dD
when
T = 10 degree Celcius, S = 35 parts per thousand, and D = 100 m. Explain the physical
significance of these partial derivatives
C = 1449.2 + 4.6T – 0.055T^2 + 0.00029T^3 + (1.34 – 0.01T)(S – 35) + 0.016D
where C is the speed of sound (in meters per second), T is the temperature (in
degrees Celsius), S is the salinity (the concentration of salts in parts per thousand,
which means the number of grams of dissolved solids per 1000 g of water), and D
is the depth below the ocean surface (in meters). Compute
dC/dT, dC/dS, dC/dD
when
T = 10 degree Celcius, S = 35 parts per thousand, and D = 100 m. Explain the physical
significance of these partial derivatives
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it would be the accelaration or change in speed in respect to each of the those variables...
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By varying the temperature, salinity you vary the density of the water; the denser the liquid the faster sound will travel through it. Cold water is denser than warm water but fresh water is less dense than sea water.