Chapter 11: 67GP (page 292)
A simple pendulum oscillates with frequency \(f\). What is its frequency if the entire pendulum accelerates at 0.35 g (a) upward, and (b) downward?
The frequency of the simple pendulum when pendulum is accelerate upwards or downwards is (a) \(1.16f\) and (b) \(0.81f\), respectively.
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One hectare is defined as \({\bf{1 \times 1}}{{\bf{0}}^{\bf{4}}}\;{{\bf{m}}^{\bf{2}}}\). One acre is \({\bf{4}}{\bf{.356 \times 1}}{{\bf{0}}^{\bf{4}}}\;{\bf{f}}{{\bf{t}}^{\bf{2}}}\). How many acres are there in one hectare?
To convert from ft2 to yd2, you should
(a) multiply by 3.
(b) multiply by 1/3.
(c) multiply by 9.
(d) multiply by 1/9.
(e) multiply by 6.
(f) multiply by 1/6.
Carbon dioxide is a linear molecule. The carbon–oxygen bonds in this molecule act very much like springs. Figure 11–58 shows one possible way the oxygen atoms in this molecule can oscillate: the oxygen atoms oscillate symmetrically in and out, while the central carbon atom remains at rest. Hence each oxygen atom acts like a simple harmonic oscillator with a mass equal to the mass of an oxygen atom. It is observed that this oscillation occurs at a frequency \(f{\bf{ = 2}}{\bf{.83 \times 1}}{{\bf{0}}^{{\bf{13}}}}\;{\bf{Hz}}\). What is the spring constant of the C-O bond?
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) \({\bf{7 \times 1}}{{\bf{0}}^{{\bf{ - 7}}}}\;{\bf{seconds}}\)
Time intervals measured with a stopwatch typically have an uncertainty of about 0.2 s due to human reaction time at the start a d stop moments. What is the percent uncertainty of a hand-timed measurement of (a) 5.5 s, (b) 55 s, (c) 5.5 min?
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