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Chapter 1: Q4PE (page 11)
American football is played on along field, excluding the end zones. How long is the field in meters? (Assume thatequals .)
The length of the football field is 91 m .
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The sides of a small rectangular box are measured to be\({\bf{1}}.{\bf{80}} \pm {\bf{0}}.{\bf{01}}{\rm{ }}{\bf{cm}}\),\({\bf{2}}.{\bf{05}} \pm {\bf{0}}.{\bf{02}}{\rm{ }}{\bf{cm}}\), and\({\bf{3}}.{\bf{1}} \pm {\bf{0}}.{\bf{1}}{\rm{ }}{\bf{cm}}\)long. Calculate its volume and uncertainty in cubic centimeters.
(a) Find the size of the smallest detail observable in human tissue with 20MHz ultrasound. (b) Is its effective penetration depth great enough to examine the entire eye (about 3.00cm is needed)? (c) What is the wavelength of such ultrasound in air \[{0^o}{\rm{C }}\]?
The length and width of a rectangular room are measured to be\({\bf{3}}.{\bf{955}}{\rm{ }} \pm {\rm{ }}{\bf{0}}.{\bf{005m}}\)and \({\bf{3}}.{\bf{050}}{\rm{ }} \pm {\rm{ }}{\bf{0}}.{\bf{005m}}\). Calculate the area of the room and its uncertainty in square meters.
When non-metric units were used in the United Kingdom, a unit of mass called the pound-mass\(\left( {{\bf{lbm}}} \right)\)was employed, where\({\bf{1}}{\rm{ }}{\bf{lbm}} = {\bf{0}}.{\bf{4539}}{\rm{ }}{\bf{kg}}\). (a) If there is an uncertainty of\({\bf{0}}.{\bf{0001}}{\rm{ }}{\bf{kg}}\)in the pound-mass unit, what is its percent uncertainty? (b) Based on that percent uncertainty, what mass in pound-mass has an uncertainty of\({\bf{1}}{\rm{ }}{\bf{kg}}\)when converted to kilograms?
Soccer fields vary in size. A large soccer field is 115 mlong and 85 mwide. What are its dimensions in feet and inches? (Assume that 1 meter equals 3.281 feets).
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