Explanation Write the continuity equation for the flow of water from the hose pipe to the pool. A 1 v 1 = A 2 v 2 (I) Here, A 1 is the cross sectional area of the pool, A 2 is the cross sectional area of the hose pipe, v 1 is the velocity at which the depth of water in the pool is rising and v 2 is the velocity of water through the hose pipe. Write the expression for the velocity at which the depth of water in the pool is rising. v 1 = h 1 t 1 Here, h 1 is the depth of water in the pool and t 1 is the time. Substitute h 1 t 1 for v 1 in the equation (I). A 1 ( h 1 t 1 ) = A 2 v 2 Rewrite the above equation for t 1 . t 1 = A 1 h 1 A 2 v 2 (II) Write the expression for area. A = π d 2 4 (III) Here, A is the area and d is the diameter. Conclusion: Substitute 6

Physics for Scientists and Engineers with Modern Physics

4th Edition

ISBN: 9780131495081

Author: Douglas C. Giancoli

Publisher: Addison-Wesley

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Variation of pressure

From the equation of pressure, pressure is directly proportional to the applied force.

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Chapter 13, Problem 48P

To determine

The time taken to fill the pool.

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Chapter 13, Problem 47P

Chapter 13, Problem 49P

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Chapter 13 Solutions

Physics for Scientists and Engineers with Modern Physics

Ch. 13.3 - Prob. 1AE Ch. 13.3 - A dam holds hack a lake that is 85 m deep at the...Ch. 13.7 - On the hydrometer of Example 1311, will the marks...Ch. 13.7 - Which of the following objects, submerged in...Ch. 13.7 - Which of the following objects, submerged in...Ch. 13.9 - As water in a level pipe passes from a narrow...Ch. 13.10 - Return to Chapter-Opening Question 2, page 339,...Ch. 13 - If one material has a higher density than another,...Ch. 13 - Airplane travelers sometimes note that their...Ch. 13 - The three containers in Fig. 1343 are filled with...

Ch. 13 - Consider what happens when you push both a pin and...Ch. 13 - A small amount of water is boiled in a 1-gallon...Ch. 13 - Prob. 6Q Ch. 13 - An ice cube floats in a glass of water filled to...Ch. 13 - Will an ice cube float in a glass of alcohol? Why...Ch. 13 - A submerged can of Coke will sink, but a can of...Ch. 13 - Why dont ships made of iron sink?Ch. 13 - Explain how the tube in Fig. 1344, known as a...Ch. 13 - A barge filled high with sand approaches a low...Ch. 13 - Explain why helium weather balloons, which are...Ch. 13 - A row boat floats in a swimming pool, and the...Ch. 13 - Will an empty balloon have precisely the same...Ch. 13 - Why do you float higher in salt water than in...Ch. 13 - If you dangle two pieces of paper vertically, a...Ch. 13 - Why does the stream of water from a faucet...Ch. 13 - Prob. 19Q Ch. 13 - A tall Styrofoam cup is filled with water. Two...Ch. 13 - Why do airplanes normally lake off into the wind?Ch. 13 - Two ships moving in parallel paths close to one...Ch. 13 - Prob. 23Q Ch. 13 - Prob. 24Q Ch. 13 - (I) The approximate volume of the granite monolith...Ch. 13 - (I) What is the approximate mass of air in a...Ch. 13 - (I) If you tried to smuggle gold bricks by filling...Ch. 13 - (I) State your mass and then estimate your volume....Ch. 13 - (II) A bottle has a mass of 35.00g when empty and...Ch. 13 - (II) If 5.0L of antifreeze solution (specific...Ch. 13 - Prob. 7P Ch. 13 - (I) Estimate the pressure needed to raise a column...Ch. 13 - (I) Estimate the pressure exerted on a floor by...Ch. 13 - (I) What is the difference in blood pressure...Ch. 13 - (II) How high would the level be in an alcohol...Ch. 13 - (II) In a movie, Tarzan evades his captors by...Ch. 13 - (II) The maximum gauge pressure in a hydraulic...Ch. 13 - (II) The gauge pressure in each of the four tires...Ch. 13 - (II) (a) Determine the total force and the...Ch. 13 - (II) A house at the bottom of a hill is fed by a...Ch. 13 - (II) Water anti then oil (which dont mix) are...Ch. 13 - (II) In working out his principle, Pascal showed...Ch. 13 - (II) What is the normal pressure of the atmosphere...Ch. 13 - (II) A hydraulic press for compacting powdered...Ch. 13 - (II) An open-tube mercury manometer is used to...Ch. 13 - (III) A beaker of liquid accelerates from rest, on...Ch. 13 - (III) Water stands at a height h behind a vertical...Ch. 13 - (III) Estimate the density of the water 5.4 km...Ch. 13 - (III) A cylindrical bucket of liquid (density ) is...Ch. 13 - (I) What fraction of a piece of iron will he...Ch. 13 - (I) A geologist finds that a Moon rock whose mass...Ch. 13 - (II) A crane lifts the 16,000-kg steel hull of a...Ch. 13 - (II) A spherical balloon has a radius of 7.35 m...Ch. 13 - (II) A 74-kg person has an apparent mass of 54 kg...Ch. 13 - (II) What is the likely identity of a metal (see...Ch. 13 - (II) Calculate the true mass (in vacuum) of a...Ch. 13 - Prob. 33P Ch. 13 - (II) A scuba diver and her gear displace a volume...Ch. 13 - (II) The specific gravity of ice is 0.917, whereas...Ch. 13 - (II) Archimedes principle can be used not only to...Ch. 13 - (II) (a) Show that the buoyant force FB on a...Ch. 13 - (II) A cube of side length 10.0 cm and made of...Ch. 13 - (II) How many helium-filled balloons would it take...Ch. 13 - Prob. 40P Ch. 13 - (III) If an object floats in water, its density...Ch. 13 - (III) A 3.25-kg piece of wood (SG = 0.50) floats...Ch. 13 - (I) A 15-cm-radius air duct is used to replenish...Ch. 13 - Prob. 44P Ch. 13 - (I) How fast does water flow from a hole at the...Ch. 13 - (II) A fish tank has dimensions 36 cm wide by 1.0...Ch. 13 - (II) What gauge pressure in the water mains is...Ch. 13 - Prob. 48P Ch. 13 - (II) A 180-km/h wind blowing over the flat roof of...Ch. 13 - (II) A 6.0-cm-diameter horizontal pipe gradually...Ch. 13 - (II) Estimate the air pressure inside a category 5...Ch. 13 - (II) What is the lift (in newtons) due to...Ch. 13 - (II) Show that the power needed to drive a fluid...Ch. 13 - (II) Water at a gauge pressure of 3.8 atm at...Ch. 13 - (II) In Fig. 1355, take into account the speed of...Ch. 13 - (II) Suppose the top surface of the vessel in Fig....Ch. 13 - (II) You are watering your lawn with a hose when...Ch. 13 - (III) Suppose the opening in the tank of Fig. 1355...Ch. 13 - Prob. 59P Ch. 13 - (III) (a) Show that the flow speed measured by a...Ch. 13 - Prob. 61P Ch. 13 - (III) A fire hose exerts a force on the person...Ch. 13 - (II) A viscometer consists of two concentric...Ch. 13 - Prob. 64P Ch. 13 - (I) Engine oil (assume SAE 10, Table 133) passes...Ch. 13 - Prob. 66P Ch. 13 - (II) What diameter must a 15.5-m-long air duct...Ch. 13 - (II) What must be the pressure difference between...Ch. 13 - (II) Poiseuilles equation does not hold if the...Ch. 13 - Prob. 70P Ch. 13 - (III) A patient is to be given a blood...Ch. 13 - (I) If the force F needed to move the wire in Fig....Ch. 13 - (I) Calculate the force needed to move the wire in...Ch. 13 - (II) The surface tension of a liquid can be...Ch. 13 - (III) Estimate the diameter of a steel needle that...Ch. 13 - (III) Show that inside a soap bubble, there must...Ch. 13 - (III) A common effect of surface tension is the...Ch. 13 - A 2.8-N force is applied to the plunger of a...Ch. 13 - Intravenous infusions are often made under...Ch. 13 - A beaker of water rests on an electronic balance...Ch. 13 - Estimate the difference in air pressure between...Ch. 13 - A hydraulic lift is used to jack a 920-kg car 42...Ch. 13 - When you ascend or descend a great deal when...Ch. 13 - Giraffes are a wonder of cardiovascular...Ch. 13 - Suppose a person can reduce the pressure in his...Ch. 13 - Airlines are allowed to maintain a minimum air...Ch. 13 - A simple model (Fig. 13-57) considers a continent...Ch. 13 - A ship, carrying fresh water to a desert island in...Ch. 13 - During ascent, and especially during descent,...Ch. 13 - A raft is made of 12 logs lashed together. Each is...Ch. 13 - Estimate the total mass of the Earths atmosphere,...Ch. 13 - Prob. 92GP Ch. 13 - Four lawn sprinkler heads are fed by a...Ch. 13 - A bucket of water is accelerated upward at 1.8 g....Ch. 13 - The stream of water from a faucet decreases in...Ch. 13 - You need to siphon water from a clogged sink. The...Ch. 13 - An airplane has a mass of 1.7 106 kg, and the air...Ch. 13 - A drinking fountain shoots water about 14 cm up in...Ch. 13 - A hurricane-force wind of 200 km/h blows across...Ch. 13 - Blood from an animal is placed in a bottle 1.30 m...Ch. 13 - Prob. 101GP Ch. 13 - Prob. 102GP Ch. 13 - A two-component model used to determine percent...Ch. 13 - (III) Air pressure decreases with altitude. The...

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