PHYS 1007 Lecture Notes - Lecture 17: Mechanical Advantage, Pressure Measurement, Hydrostatics

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Pressure depends on the depth of luid: p=pgh + patm where pwater=1000 kg/m3. At the surface (sea level: height=0 p=0. Absolute pressure = 14. 7 p. s. i. at sea/ground lvl: takes into account the weight of the air above us, 1 pa = 1 n/m2, we have 101. 7 kpa above us. Pascal"s principle: since the pressure is constant at some depth, then, pin=pout, fout=fin (aout/ain) In brackets is referred to as the mechanical advantage. Archimedes principle: the buoyancy force is equal to the weight of the displaced luid. W" is weight in luid, w is weight in air pf is density of luid, po is density of object. Now lets say you only have a parially submerged cyclinder in water We know that the buoyancy force is fb= pluidvobjectg. Since the object loats, it is overcoming gravity force. We aren"t gonna work in the turbulent low areas of luid; only the streamline areas. Looking at a tube that gets thinner and thinner

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