A certain cylindrical drum is 3 meters in height. It filled with with water. Atm

Question

A certain cylindrical drum is 3 meters in height. It filled with with water. Atmospheric pressure is 10^5 Pa, and the density of water is 1000 gl/m^3.

a. What is the water pressure at the top of the barrel? Explain. Express your answer in Pa.

b. What is the water pressure at the bottom of the barrel?

c. A 1mm insides diameter 30m long steel pipe is inserted through the top of the drum. Water is poured in to fill the pipe. What is the mass of water in the pipe?

d, If the "burst strength: of the drum is 4x!0^5 Pa, will the drum burst?

Explanation / Answer

Part A)
Water Pressure at the top 0 Pa, you do not have any depth.

Part B)
P = pgh

P = (1000)(9.8)(3)

P = 29400 Pa

Part C)
Mass = density times volume

mass = (1000)(pi)(5 X 10^-4)^2(30)

mass = .0236 kg (which is 23.6 grams)

Part D)
No, the drum will not burst. Atmopsheric Pressure pushes back to balance and the net pressure is only 1.94 X 10^5 Pa which is lower than the burst pressure.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.