Chapter 11: 11-49P (page 292)
If a violin string vibrates at 440 Hz as its fundamental frequency, what are the frequencies of the first four harmonics?
The first four harmonics are\(440\;{\rm{Hz}}\), \(880\;{\rm{Hz}}\), \(1320\;{\rm{Hz}}\) and \(1760\;{\rm{Hz}}\).
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(III) Consider two objects, A and B, both undergoing SHM, but with different frequencies, as described by the equations \({{\bf{x}}_{\bf{A}}}{\bf{ = }}\left( {{\bf{2}}{\bf{.0}}\;{\bf{m}}} \right){\bf{sin(4}}{\bf{.0t)}}\) and \({{\bf{x}}_{\bf{B}}}{\bf{ = }}\left( {{\bf{5}}{\bf{.0}}\;{\bf{m}}} \right){\bf{sin(3}}{\bf{.0t)}}\), where t is in seconds. After t = 0, find the next three times t at which both objects simultaneously pass through the origin.
When you slosh the water back and forth in a tub at just the right frequency, the water alternately rises and falls at each end, remaining relatively calm at the center. Suppose the frequency to produce such a standing wave in a 75-cm-wide tub is 0.85 Hz. What is the speed of the water wave?
Express the following using the prefixes of Table 1–4:
(a) \({\bf{1 \times 1}}{{\bf{0}}^{\bf{6}}}\;{\bf{volts}}\)
(b) \({\bf{2 \times 1}}{{\bf{0}}^{{\bf{ - 6}}}}\;{\bf{meters}}\)
(c) \({\bf{6 \times 1}}{{\bf{0}}^{\bf{3}}}\;{\bf{days}}\)
(d) \({\bf{18 \times 1}}{{\bf{0}}^{\bf{2}}}\;{\bf{bucks}}\)
(e) \({\bf{7 \times 1}}{{\bf{0}}^{{\bf{ - 7}}}}\;{\bf{seconds}}\)
Express the following using the prefixes of Table 1–4:
(a) \({\bf{1 \times 1}}{{\bf{0}}^{\bf{6}}}\;{\bf{volts}}\)
(b) \({\bf{2 \times 1}}{{\bf{0}}^{{\bf{ - 6}}}}\;{\bf{meters}}\)
(c) \({\bf{6 \times 1}}{{\bf{0}}^{\bf{3}}}\;{\bf{days}}\)
(d) \({\bf{18 \times 1}}{{\bf{0}}^{\bf{2}}}\;{\bf{bucks}}\)
(e) \({\bf{7 \times 1}}{{\bf{0}}^{{\bf{ - 7}}}}\;{\bf{seconds}}\)
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