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Chapter 10: Q1P (page 260)
(I) The approximate volume of the granite monolith known as El Capitan in Yosemite National Park (Fig.10–47) is about 108M3. What is its approximate mass?
The mass of the granite monolith is 2.7 × 1011 Kg.
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(II)Estimate the air pressure inside a category 5 hurricane, where the wind speed is 300 km/h (Fig. 10-52).
Blood is placed in a bottle 1.40 m above a 3.8-cm-long needle, of inside diameter 0.40 mm, from which it flows at a rate of \({\bf{4}}{\bf{.1}}\;{\bf{c}}{{\bf{m}}^{\bf{3}}}{\bf{/min}}\). What is the viscosity of this blood?
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. 10–53), 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 submerged can of Coke sink, but a can of Diet Coke will float. (Try it!) Explain.
(II) A physician judges the health of a heart by measuring the pressure with which it pumps blood. If the physician mistakenly attaches the pressurized cuff around a standing patient’s calf (about 1 m below the heart) instead of the arm (Fig. 10–42), what error (in Pa) would be introduced in the heart’s blood pressure measurement?
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