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HW 10 Tips

# HW 10 Tips - HW 10 Tips PHY 131 Sect 10 11 15 Fall 2010...

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1 HW 10 Tips; PHY 131 Sect. 10, 11, 15; Fall 2010 Prof. Pascuzzi HW 10 covers the basics of Static & Dynamic Fluids from Chapter 13 Information you may need; HYDROSTATICS (i.e. stationary liquids); Pressure, Gauge Pressure & Density; (note that from the density equation, you can also get the mass of an object by; ) Buoyant Force; Pascal’s Principle (Pressure within a fluid in a closed container is transmitted undiminished throughout the liquid) HYDRODYNAMICS (i.e. liquids in motion); Equation of Continuity ( Mass flow rate; unit = kg/sec ) ; Equation of Continuity ( Volume flow rate; unit = m 3 /sec ); Bernoulli’s Equation ; Poiseuille’s equation ;

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2 Problem 1 “Archimedes’ Principle” This problem is a great qualitative description of buoyant force and Archimedes’ principle. Hints on using the equation for buoyant force; Remember that the liquid will provide an upward support force for a floating object, which is equivalent to the weight of the liquid that the floating object pushes aside (i.e. displaces). As the object becomes more and more submerged, the amount of displaced liquid must increase, and thus, so does the buoyant force provided by the liquid. When the object is completely submerged, the maximum buoyant force is exerted on the object (this is ) where the weight mg (or ) of the displaced liquid is equal to the object’s weight (hence the subscripts above). If the object sinks, the buoyant force is exceeded by the object’s weight…thus, you can not only tell that an object floats if its density is less than that of the liquid, but also if its weight exceeds the maximum buoyant force on it. What happens if the object is floated in liquids of different density? Think about it! The denser the liquid, the more weight it can support, so will the object float higher, or submerge further? Similarly, what if a less dense liquid is used?
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