Fox and McDonald's Introduction to Fluid Mechanics
9th Edition
ISBN: 9781118912652
Author: Philip J. Pritchard, John W. Mitchell
Publisher: WILEY
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Textbook Question
Chapter 3, Problem 88P
Three steel balls (each about half an inch in diameter) lie at the bottom of a plastic shell floating on the water surface in a partially filled bucket. Someone removes the steel balls from the shell and carefully lets them fall to the bottom of the bucket, leaving the plastic shell to float empty. What happens to the water level in the bucket? Does it rise, go down, or remain unchanged? Explain.
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When a 2-mm-diameter tube is inserted into a liquid in an open tank, the liquid is observed to rise 10 mm above the free surface of the liquid. The contact angle between the liquid and the tube is zero, and the specific weight of the liquid is 1.2 × 104 N/m3. Determine the value of the surface tension for this liquid.
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A J-shaped tube is filled with air at 760 Torr and 22 °C. The long arm is closed off at the top and is 100.0 cm long; the short arm is 40.00 cm high. Mercury is poured through a funnel into the open end. When the mercury spills over the top of the short arm, what is the pressure on the trapped air? Let h be the length of mercury in the long arm.
I need further explanation of one step:
- when P2 is obtained in the short arm, the equation is 40-h+P1
1. How did we get this equation?
2. the short arm does not contain any air, why do we create an equation of P2 in the short arm?
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Chapter 3 Solutions
Fox and McDonald's Introduction to Fluid Mechanics
Ch. 3 - Because the pressure falls, water boils at a lower...Ch. 3 - Ear popping is an unpleasant phenomenon sometimes...Ch. 3 - When you are on a mountain face and boil water,...Ch. 3 - Your pressure gauge indicates that the pressure in...Ch. 3 - A 125-mL cube of solid oak is held submerged by a...Ch. 3 - The tube shown is filled with mercury at 20C....Ch. 3 - Calculate the absolute and gage pressure in an...Ch. 3 - An open vessel contains carbon tetrachloride to a...Ch. 3 - A hollow metal cube with sides 100 mm floats at...Ch. 3 - Compressed nitrogen (140 lbm) is stored in a...
Ch. 3 - If at the surface of a liquid the specific weight...Ch. 3 - In the deep ocean the compressibility of seawater...Ch. 3 - Assuming the bulk modulus is constant for sea...Ch. 3 - An inverted cylindrical container is lowered...Ch. 3 - A water tank filled with water to a depth of 16 ft...Ch. 3 - A partitioned tank as shown contains water and...Ch. 3 - Consider the two-fluid manometer shown. Calculate...Ch. 3 - The manometer shown contains water and kerosene....Ch. 3 - Determine the gage pressure in kPa at point a, if...Ch. 3 - With the manometer reading as shown, calculate px....Ch. 3 - Calculate px py for this inverted U-tube...Ch. 3 - An inclined gauge having a tube of 3-mm bore, laid...Ch. 3 - Water flows downward along a pipe that is inclined...Ch. 3 - A reservoir manometer has vertical tubes of...Ch. 3 - A rectangular tank, open to the atmosphere, is...Ch. 3 - The sketch shows a sectional view through a...Ch. 3 - The manometer reading is 6 in. when the funnel is...Ch. 3 - A reservoir manometer is calibrated for use with a...Ch. 3 - The inclined-tube manometer shown has D = 96 mm...Ch. 3 - The inclined-tube manometer shown has D = 76 mm...Ch. 3 - A barometer accidentally contains 6.5 inches of...Ch. 3 - A water column stands 50 mm high in a 2.5-mm...Ch. 3 - Consider a small-diameter open-ended tube inserted...Ch. 3 - Compare the height due to capillary action of...Ch. 3 - If atmospheric pressure at the ground is 101.3 kPa...Ch. 3 - If the temperature in the atmosphere is assumed to...Ch. 3 - A hydropneumatic elevator consists of a...Ch. 3 - Semicircular plane gate AB is hinged along B and...Ch. 3 - A circular gate 3 m in diameter has its center 2.5...Ch. 3 - For the situation shown, find the air pressure in...Ch. 3 - What is the pressure at A? Draw a free body...Ch. 3 - A plane gate of uniform thickness holds back a...Ch. 3 - A rectangular gate (width w = 2 m) is hinged as...Ch. 3 - Gates in the Poe Lock at Sault Ste. Marie,...Ch. 3 - Calculate the minimum force P necessary to hold a...Ch. 3 - Calculate magnitude and location of the resultant...Ch. 3 - Calculate magnitude and location of the resultant...Ch. 3 - A window in the shape of an isosceles triangle and...Ch. 3 - A large open tank contains water and is connected...Ch. 3 - The circular access port in the side of a water...Ch. 3 - The gate AOC shown is 6 ft wide and is hinged...Ch. 3 - The gate shown is hinged at H. The gate is 3 m...Ch. 3 - For the dam shown, what is the vertical force of...Ch. 3 - The parabolic gate shown is 2 m wide and pivoted...Ch. 3 - An open tank is filled with water to the depth...Ch. 3 - A dam is to be constructed using the cross-section...Ch. 3 - The quarter cylinder AB is 10 ft long. Calculate...Ch. 3 - Calculate the magnitude, direction (horizontal and...Ch. 3 - A hemispherical shell 1.2 m in diameter is...Ch. 3 - A cylindrical weir has a diameter of 3 m and a...Ch. 3 - If you throw an anchor out of your canoe but the...Ch. 3 - A hydrometer is a specific gravity indicator, the...Ch. 3 - A cylindrical can 76 mm in diameter and 152 mm...Ch. 3 - If the 10-ft-long box is floating on the oil-water...Ch. 3 - The timber weighs 40 lb/ft3 and is held in a...Ch. 3 - Find the specific weight of the sphere shown if...Ch. 3 - The fat-to-muscle ratio of a person may be...Ch. 3 - An open tank is filled to the top with water. A...Ch. 3 - If the timber weighs 670 N, calculate its angle of...Ch. 3 - The barge shown weighs 40 tons and carries a cargo...Ch. 3 - Quantify the experiment performed by Archimedes to...Ch. 3 - Hot-air ballooning is a popular sport. According...Ch. 3 - It is desired to use a hot air balloon with a...Ch. 3 - The opening in the bottom of the tank is square...Ch. 3 - A balloon has a weight (including crew but not...Ch. 3 - A helium balloon is to lift a payload to an...Ch. 3 - The stem of a glass hydrometer used to measure...Ch. 3 - A sphere of radius R is partially immersed to...Ch. 3 - A sphere of 1-in.-radius made from material of...Ch. 3 - You are in the Bermuda Triangle when you see a...Ch. 3 - Three steel balls (each about half an inch in...Ch. 3 - A proposed ocean salvage scheme involves pumping...
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