Chapter 11: Q5Q (page 292)
You measure the radius of a wheel to be 4.16 cm. If you multiply it by 2 to get the diameter, should you write the result as 8 cm or as 8.32 cm? Justify your answer.
The diameter of the wheel is 8.32 cm.
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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.)
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?
An earthquake-produced surface wave can be approximated by a sinusoidal transverse wave. Assuming a frequency of 0.60 Hz (typical of earthquakes, which actually include a mixture of frequencies), what amplitude is needed so that objects begin to leave contact with the ground? (Hint: Set the acceleration a > g.)
Four students use different instruments to measure the length of the same pen. Which measurement implies the greatest precision?
(a) 160.0 mm
(b) 16.0 cm
(c) 0.160 m
(d) 0.00016 km
(e) Need more information
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?
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