# physics

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 0.25 m^2 is filled with water. Along, thin tube of cross-sectional area 5.5×10−5 m^2 is inserted into a hole at the center of the lid, and water is poured into the tube. When the water reaches 12 {\rm 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?

1. 👍 0
2. 👎 0
3. 👁 1,156
1. A 5.9 N

B 1.2x10^5 Pa

C 2.4x10^4 N

1. 👍 0
2. 👎 0
2. Part A
Density of Water is 999.97kg/m3
Volume of tube is (12m*5.5x10-5m2) = 6.6x10-4m3
Density times Volume = mass
999.97kg/m3*6.6x10-4m3 = .65998kg
Weight = m*g = .65998kg*9.8m/s2 = 6.5kg*m/s2 or 6.5N

Part B
P=F/A
6.5kg*m/s2/5.5x10-5m2 = 1.2x10^5kg/m*s2 or 1.2x10^5Pa

Part C
Density times height times gravity times area
phgA
999.97kg/m3*12m*9.8m/s2*.25m2 = 2.9x10^4Kg*m/s2 or 2.9x10^4N

1. 👍 3
2. 👎 1

## Similar Questions

1. ### science

The pressure on a fluid at rest in a pipe increases by 20 Pa. How does this change in pressure affect the pressure on the fluid in the rest of the pipe? 1. The pressure in the rest of the fluid stays the same because the pressure

asked by kylie on February 14, 2019
2. ### Physics

For an ideal fluid flowing through a horizontal pipe, Bernoulli's principle and the continuity equation state that the pressure within the pipe does which of the following? Pressure descreased pipe diameter increase?

asked by Anonymous on February 5, 2020
3. ### Chemistry

Gallium melts just above room temperature and is liquid over a very wide temperature range (30-2204 °C), which means it would be a suitable fluid for a high-temperature barometer. Given its density, daa = 6.0 g/cm, what would be

asked by lala on January 17, 2018
4. ### Physics

The patient in the figure below is to receive an intravenous injection of medication. In order to work properly, the pressure of fluid containing the medication must be 108 kPa at the injection point. (a) If the fluid has a

asked by Jacob on January 15, 2013
5. ### physics

a fluid flows through a horizontal pipe of varying cross-section. Assuming the flow is streamline and applying the bernoulli equation, show that pressure in the pipe is greatest where cross-sectional area is greatest.

asked by Edwin on March 28, 2010
1. ### Math Help!!!

Drinking 6 fluid ounces of milk provides 202.5 milligrams of calcium. How many fluid ounces of milk are required to provide 52.5 milligrams of calcium? Round to the nearest tenth. 2.1 fluid ounces 2.3 fluid ounces 1.8 fluid ounces

asked by Agal on November 16, 2016
2. ### Chemistry

three different liquids are used in a manometer. (a) derive an expression for P1-P2 in terms of ro(a), ro(b), ro(c), h1, and h2 (b) suppose fluid A is methanol, B is water, and C is a manometer fluid with a specific gravity of

asked by Marissa on November 7, 2010
3. ### physics

The pressure of water on the ground floor is 40,000 Pascal, and at the first floor is 10,000 pascal. Find the height of the first floor.

asked by Manilyn on October 22, 2016
4. ### Physics

pressure of a fluid. calculate the a.) absolute pressure b.) gauge pressure at an ocean depth of 1000m. Assume the density of a sea water is 1024 kg cubic meter and that the air above exerts a pressure of 101.3kPa

asked by Gen on January 12, 2017
5. ### Physics

A horizontal pipe narrows from a diameter of 10 to 5 cm. For an incompressible fluid flowing from the larger diameter to the smaller: Question 5 options: 1.the velocity and pressure both increase. 2.the velocity increases and the

asked by Sonya on August 10, 2011
6. ### Physics

An incompressible fluid is flowing through a horizontal pipe with a constriction. The velocity of the fluid in the wide section of the pipe is 4.00 m/s and the velocity of the fluid in the narrow section of pipe is 9.00 m/s. The

asked by Mikhail on November 10, 2013