Chapter 11: 11-53P (page 292)
If two successive overtones of a vibrating string are 280 Hz and 350 Hz, what is the frequency of the fundamental?
The fundamental frequency is found as \(70{\rm{ Hz}}\).
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A tsunami is a sort of pulse or “wave packet” consisting of several crests and troughs that become dramatically large as they enter shallow water at the shore. Suppose a tsunami of wavelength 235 km and velocity \(550\;{\rm{km/h}}\) travels across the Pacific Ocean. As it approaches Hawaii, people observe an unusual decrease of sea level in the harbors. Approximately how much time do they have to run to safety? (In the absence of knowledge and warning, people have died during tsunamis, some of them attracted to the shore to see stranded fishes and boats.)
A bungee jumper with mass 65.0 kg jumps from a high bridge. After arriving at his lowest point, he oscillates up and down, reaching a low point seven more times in 43.0 s. He finally comes to rest 25.0 m below the level of the bridge. Estimate the spring stiffness constant and the unstretched length of the bungee cord assuming SHM.
(III) A block of mass m is supported by two identical parallel vertical springs, each with spring stiffness constant k (Fig. 11–53). What will be the frequency of vertical oscillation?
What, approximately, is the percent uncertainty for a measurement given as\({\bf{1}}{\bf{.57 }}{{\bf{m}}^{\bf{2}}}\)?
American football uses a field that is 100.0 yd long, whereas a soccer field is 100.0 m long. Which field is longer, and by how much (gives yards, meters, and percent)?
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