In the seventeenth century, Blaise Pacal performed the following experiment to d
ID: 2207009 • Letter: I
Question
In the seventeenth century, Blaise Pacal performed the following experiment to demonstrate the properties of pressure. A very long, thin, vertical tube was inserted into the center of the top lid of a wine barrel filled with water. Water was then added slowly to the tube until the wine barrel burst. (See figure 13-50 on page 363 of your textbook, but ignore the numbers)
Suppose the radius of the wine barrel lid has radius rl = 23.7 cm, the radius of the tube was rt = 2.76 mm, and the height of the water in the tube was h = 14.2 m. Find:
a) F, the magnitude of the force exerted on the inside of the barrel lid due to water pressure
1 N
b) m, the mass of the water inside the tube that caused the barrel to burst
2 kg
Explanation / Answer
F=density*h*g*area=1000*14.2*9.8*pi*(.237^2-.00276^2)=24.55*10^3 N