Ph_112_HW_solution

# Ph_112_HW_solution - Physics 112 HW#1 Solutions Spring 06...

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Physics 112- HW #1 Solutions Spring 06 [Unit Conversions] (a) 60 mph = = (b) 32 ft/s 2 = = (c) 1.0 g/m 3 = = [Measurement Uncertainty] (a) The precision depends somewhat on the quantity being measured. Does it have rough or smooth edges? The smallest subdivision on a meter stick is 1 mm = 0.1 cm. If we take this as an estimate of our measurement uncertainty, then: % uncertainty = × 100% = (b) A chemical balance can probably measure to the nearest milligram = 0.001 gram. % uncertainty = × 100% = (c) A stopwatch can measure to the nearest 0.01 s. However, typical human reaction time from when a stimulus or event happens until we react to it is of the order of 0.1 s, which probably defines the measurement uncertainty here. 6 min = (6 min) = 360 s % uncertainty = × 100% =

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The required results are found by measuring these figures with a ruler and protractor: (a) + = (b) - = (c) - - has the same length as + but points in the opposite direction, so… - - = (d) - has the same length as - but points in the opposite direction, so… - = Converting into polar coordinates: Likewise: = ] 1.[Ratios]:
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