Assignment 7

course Phy 202

Question: query introset change in pressure from diameter change given original vel and diameter

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Your Solution:

As the diameter of a tube narrows, the water has to flow faster in proportion to the change in area because it has nowhere to escape. Additionally, Velocity and pressure have an inverse relationship. If velocity increases, pressure must decrease to compensate. If we have the proportion of area change, we then multiply the original speed by that value to find the new speed, and then use that value to find the KE.

Confidence Rating:

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Given Solution:

** The ratio of velocities is the inverse ratio of cross-sectional areas.

Cross-sectional area is proportional to square of diameter. So velocity is inversely proportional to cross-sectional area:

v2 / v1 = (A1 / A2) = (d1 / d2)^2 so

v2 = (d1/d2)^2 * v1.

Since h presumably remains constant we have

P1 + .5 rho v1^2 = P2 + .5 rho v2^2 so

(P2 - P1) = 0.5 *rho (v1^2 - v2^2) . **

Your Self-Critique:

ok

Your Self-Critique Rating:3

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