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Chapter 11: Q9Q (page 292)
What, approximately, is the percent uncertainty for a measurement given as\({\bf{1}}{\bf{.57 }}{{\bf{m}}^{\bf{2}}}\)?
The correct answer of percent uncertainty is 0.6%.
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Multiply \({\bf{3}}{\bf{.079 \times 1}}{{\bf{0}}^{\bf{2}}}{\bf{ m}}\) by \({\bf{0}}{\bf{.068 \times 1}}{{\bf{0}}^{{\bf{ - 1}}}}{\bf{ m}}\),taking into account significant figures.
(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.
What is the percent uncertainty in the measurement\({\bf{5}}{\bf{.48 \pm 0}}{\bf{.25 m}}\)?
What, roughly, is the percent uncertainty in the volume of a spherical beach ball of radius \({\bf{r = 0}}{\bf{.84 \pm 0}}{\bf{.04 m}}\)?
How many significant figures does 1.3262 + 25.2 have?
(a) 2
(b) 3
(c) 4
(d) 5
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