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Chapter 10: Q8P (page 260)
(I) Estimate the pressure needed to raise a column of water to the same height as a 46-m-tall pine tree.
The pressure needed to raise the water column to a height of 46m is 4.50 脳 105N/m2.
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A barge filled high with sand approaches a low bridge over the river and cannot quite pass under it. Should sand be added to, or removed from, the barge? [Hint: Consider Archimedes鈥� principle.]
Water at a gauge pressure of \({\bf{3}}{\bf{.8}}\;{\bf{atm}}\) at street level flows into an office building at a speed of \({\bf{0}}{\bf{.78}}\;{\bf{m/s}}\) through a pipe \({\bf{5}}{\bf{.0}}\;{\bf{cm}}\)in diameter. The pipe tapers down to \({\bf{2}}{\bf{.8}}\;{\bf{cm}}\) in diameter by the top floor, \({\bf{16}}\;{\bf{m}}\) above (Fig. 10鈥�53), where the faucet has been left open. Calculate the flow velocity and the gauge pressure in the pipe on the top floor. Assume no branch pipes and ignore viscosity.
Figure 10-53
A viscometer consists of two concentric cylinders, \({\bf{10}}{\bf{.20}}\;{\bf{cm}}\) and \({\bf{10}}{\bf{.60}}\;{\bf{cm}}\)in diameter. A liquid fills the space between them to a depth of \({\bf{12}}{\bf{.0}}\;{\bf{cm}}\). The outer cylinder is fixed, and a torque of \({\bf{0}}{\bf{.024}}\;{\bf{m}} \cdot {\bf{N}}\) keeps the inner cylinder turning at a steady rotational speed of \({\bf{57}}\;{\bf{rev/min}}\). What is the viscosity of the liquid?
A gardener feels it is taking too long to water a garden with a \(\frac{{\bf{3}}}{{\bf{8}}}\;{\bf{in}}\) diameter hose. By what factor will the time be cut using a \(\frac{{\bf{5}}}{{\bf{8}}}\;{\bf{in}}\) diameter hose instead? Assume nothing else is changed.
A small amount of water is boiled in a 1-gallon metal can. The can is removed from the heat and the lid is put on. As the can cool, it collapses and looks crushed. Explain.
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