Explanation:
First, one must recall Bernoulli's equation and how to use it. If necessary, you may want to review Bernoulli's equation in Unit 2 and practice memorizing this equation. For our purposes here, we will write it as v2/2 + P/r + gh = a constant. Because we are given no other information, we will assume that h (the elevation) is a constant over a streamline. The solution is then just a matter of calculating the velocities and then doing appropriate unit conversions. It is perhaps simplest to work in SI units. The two cross sections for flow are 1.27 x 10-4 m2 and 8.11 x 10-5 m2. Hence, the two velocities are 39.37 m/s and 61.5 m/s. Thus, the change in v2/2 = 1116 m2/s2. If we multiply this term by the density, we are left with units of Pascal for a pressure difference of 613 Pa.
