Chapter 2: Problem 7
A 30 -ft-high downspout of a house is clogged at the bottom. Find the pressure at the bottom if the downspout is filled with \(60^{\circ} \mathrm{F}\) rainwater.
Chapter 2: Problem 7
A 30 -ft-high downspout of a house is clogged at the bottom. Find the pressure at the bottom if the downspout is filled with \(60^{\circ} \mathrm{F}\) rainwater.
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Get started for freeA 5 -gal, cylindrical open container with a bottom area of 120 in. \(^{2}\) is filled with glycerin and rests on the floor of an elevator. (a) Determine the fluid pressure at the bottom of the container when the elevator has an upward acceleration of \(3 \mathrm{ft} / \mathrm{s}^{2}\). (b) What resultsnt force does the container exert on the floor of the elevator during this acceleration? The weight of the container is negligible. (Note: 1 gal \(=231\) in. \(^{3}\) )
When the Tucurui Dam was constructed in northern Brazil, the lake that was created covered a large forest of valuable hardwood trees. It was found that even after 15 years underwater the trees were perfectly preserved and underwater logging was started. During the logging process a tree is selected, trimmed, and anchored with ropes to prevent it from shooting to the surface like a missile when cut. Assume that a typical large tree can be approximated as a truncated cone with a base diameter of \(8 \mathrm{ft},\) a top diameter of \(2 \mathrm{ft}\), and a height of \(100 \mathrm{ft}\). Determine the resultant vertical force that the ropes must resist when the completely submerged tree is cut. The specific gravity of the wood is approximately 0.6.
Because of elevation differences, the water pressure in the second floor of your house is lower than it is in the first floor. For tall buildings this pressure difference can become unacceptable. Discuss possible ways to design the water distribution system in very tall buildings so that the hydrostatic pressure difference is within acceptable limits.
Often young children drink milk \(\left(\rho=1030 \mathrm{kg} / \mathrm{m}^{3}\right)\) through a straw. Determine the maximun length of a vertical straw that a child can use to empty a milk container, assuming that the child can develop \(75 \mathrm{mm}\) Hg of suction, and use this answer to determine if you think this is a reasonable estimate of the suction that a child can develop.
A bottle jack allows an average person to lifi one corner of a 4000 -lb automobile completely off the ground by exerting less than 20 lb of force. Explain how a 20 -lb force can be converted into hundreds or thousands of pounds of force, and why this does not violate our general perception that you can't get something for nothing (a somewhat loose paraphrase of the first law of thermodynamics). Hint: Consider the work done by each force.
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