The density of freshwater can be computed as a function of temperature with the

Question

The density of freshwater can be computed as a function of temperature with the following equation: rho = 5.5289e-8 T^3 - 8.5016e-6 T^2 + 6.5622e-5 T + 0.99987 where rho = density (g/cm^3) and T = temperature (degree Celsius) Use MATLAB to generate a vector of temperatures form 0 to 34 degrees Celsius in steps of 2 degrees. Then compute a vector of densities for these temperatures. Plot the densities versus the temperature in Fahrenheit, noting that Tf = 9*T/5 + 32, where Tf is the temperature in Fahrenheit. The MATLAB function is to not have any "for" or "while" loops in it. All calculations are to be done using vector operations. For example if you have a vector of x values and you want to evaluate it as a a quadratic ax^2 + bx + c then you can write hi MATLAB y = a * x middot * x + b * x + c; and this will create a vector y that is the evaluation of the quadratic for each element hi x. Points to note, 1) a, b and c must be scalars (single values, not vectors), and 2) the .* between the first two instances of x, indicates a point by point operation.

Explanation / Answer

x=[0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34];
pp=5.5289000000000*power(x,3)-8.501600000*power(x,2)+6.562200000*x+0.9998; % equation to calculate value of density
tf=9*x/5+32; % Equation for calculating value of temparature in fahrenheit
plot (x,tf) % ploting density versus fahrenheit

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.