7/25/2019 problems in fluid mechanics

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Practice Problems Worksheet

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with units.1. A sample of an unknown material weighs 300 in air and !00 when

submerged in an alcohol solution with a densit" of 0.#0 x 103kg$m3.What is the densit" of the material%

!. A &0'cm tall glass is lled with water to a depth of 30 cm.a. What is the gauge pressure at the bottom of the glass%b. What is the absolute pressure at the bottom of the glass%

3. Water circulates throughout a house in a hot water heating s"stem. (f

the water is pumped at a speed of 0.)0 m$s through a &.0'cm diameterpipe in the basement under a pressure of 3.03x10)Pa* what will be the+elocit" and pressure in a !.,'cm diameter pipe on the second -oor ).0m abo+e%

&. he small piston of a h"draulic lift has an area of 0.!0 m!. A carweighing 1.! x 10& sits on a rack mounted on the large piston. helarge piston has an area of 0./0 m!. ow large force must be applied tothe small piston to support the car%

). alculate the absolute pressure at an ocean depth of 1.0 x 103m.Assume that the densit" of the water is 1.0!) x 103kg$m3and that P021.01 x 10)Pa.

,. A water tank has a spigot near its bottom. (f the top of the tank is opento the atmosphere* determine the speed at which the water lea+es thespigot when the water le+el is 0.) m abo+e the spigot.

Archimedes Principle* Pascals 4aw and 5ernoullis Principle4esson6Practice ProblemsWorksheet