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 Figure 1): An oak barrel with a lid of area 0.25 1 is filled with water Along, thin tube of cross- sectional area 4.5x10-5 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. Part A What was the weight of the water in the tube? Express your answer using two significant figures. Figure 1 011 Submit lty Answers Give Up Part B What was the pressure of the water on the lid of the barrel? Express your answer using two significant figures. Pa

Explanation / Answer

here,

area , A1 = 0.25 m^2

cross section of tube , A2 = 4.5 *10^-5 m^2

height , h = 12 m

part A)

density of water , p = 1000 Kg/m^3

weight of water in tube = volume of water * density * g

weight of water in tube = 4.5 *10^-5 * 1000 * 12 * 9.8

weight of water in tube = 5292 N

the weight of water in tube is 5292 N

part B)

at the lid of the barrel

pressure at the lid = p * g * h

pressure at the lid = 1000 * 9.8 * 12

pressure at the lid = 1.176 *10^5 Pa

the pressure at the lid is 1.176 *10^5 Pa

part c)

net force on the kid = A1 * pressure

net force on the kid = 1.176 *10^5 * 0.25 N

net force on the kid = 29400 N

the net force on the kid is 29400 N

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