Here is a demonstration Pascal used to show the importance of a fluid\'s pressur

Question

Here is a demonstration Pascal used to show the importance of a fluid's pressure on the fluid's depth : An oak barrel with a lid of area 0.17 m2 is filled with water. Along, thin tube of cross-sectional area 5.5×e-5 m2 is inserted into a hole at the center of the lid, and water is poured into the tube. When the water reaches 12 m high, the barrel bursts. What was the weight of the water in the tube? What was the pressure of the water on the lid of the barrel? What was the net force on the lid due to the water pressure? Express your answer using two significant figures or you won't receive points.

Explanation / Answer

weight of water =  g h * A 

wt = 1000 * 9.8 * 12 * 5.5 e -5 = 6.468 N   <------wt of water on tube 

P =  g h  = 1000 * 9.8 * 12 = 117600 Pa ; <--------pressure

Force = P * A = 117600 * 0.17 = 14112 N   <--------ans  <-------force on lid of barrel 

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