Chapter 10: Q3P (page 260)
(I) If you tried to smuggle gold bricks by filling your backpack, whose dimensions are 54cm× 31cm× 22cm what would its mass be?
The mass of the gold bricks is 710.78Kg.
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Roofs of houses are sometimes “blown” off (or are they pushed off?) during a tornado or hurricane. Explain using Bernoulli’s principle.
(II) The surface tension of a liquid can be determined by measuring the force \(F\) needed to just lift a circular platinum ring of radius \(r\) from the surface of the liquid. (a) Find a formula for \(\gamma \) in terms of \(F\) and \(r\). (b) At \(30^\circ C\), if \(F = 6.20 \times {10^{ - 3}}\;{\rm{N}}\) and \(r = 2.9\;{\rm{cm}}\), calculate \(\gamma \) for the tested liquid.
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
(II)Estimate the air pressure inside a category 5 hurricane, where the wind speed is 300 km/h (Fig. 10-52).
A submerged can of Coke sink, but a can of Diet Coke will float. (Try it!) Explain.
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