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a water tower on the top of a three story building supplies water to the showers

ID: 1488206 • Letter: A

Question

a water tower on the top of a three story building supplies water to the showers in the building. a single vertical water pipe connects the showers on each floor. the showers on each floor are lined up vertically. a small horizontal pipe branches from the vertical water pipe and connects to the shower head in each shower. each horizontal pipe and shower head is identical for each of the 3 showers. let t,m, and b be the velocity of the water leaving the shower head for the top, middle, and bottom floors respectively. rank the velocities of the water leaving the shower head from greatest to least.


Explanation / Answer

by bernoulli's equation

density * g * h1 + 0.5 * density * v1^2 = density * g * h2 + 0.5 * density * v2^2

so more the height less the velocity as per this equation so,

b > m > t