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Importance of Factor Label Conversions Example #1: 1983 Gimili Glider
Video link Gimli Glider Air Canada 767 Jet (Flight 143) ran out of Gas in route from Montreal to Edmonton near Winnipeg at altitude of 41,000 feet. In a miracle landing, the pilot landed the plane on old abandoned runaway in the wilderness that had been converted into a race track. Investigation revealed that the plane ran out gas due a unit conversation error between English units (gallons and pounds) and metric (liters and kilograms). At the time Air Canada had just switched units on its new plane from English to metric and ground crew miscalculated the conversion. The flight crew did not catch the error. The plane had less than half of the fuel needed to complete its planned flight.
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Importance of Factor Label Conversions Example #2: Mars Climate Orbiter 1999
What happened? NASA lost a $125 million Mars satellite due to a controller error. Video Link Cause of Crash later determined to be communication error caused by failure to convert velocity units from English to metric when sending commands to space craft. “METRIC, ENGLISH . . WHATEVER . .”
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5.000 x 10-4 moles Ag 16.0 g O2
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6.022 x 1023 atoms Ne 1.81 x 1024 atoms Ne 20.18 g Ne 1 mole Ne
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60 s 60 min 124 mi/hr 1 km
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6.70 x 108 6.70 x 108 759 Miles/hr Miles/hr = 8.82 x 105 Miles/hr 60 s
60 min 6.70 x 108 1 km 1 min 1 hr Miles/hr 6.70 x 108 Miles/hr = 8.82 x 105 759 Miles/hr All units cancel. Final answer is unitless number
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1 L 0.235 L 103 mL 1 m = 6.56 x10-7 m 109 nm
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106 μm 102 cm 8.43 x104 m
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1 km 295 mm 2.95 x km 103 mm 103 m
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3.3 l.y. 103 m 1.8 par 9.46 x1012 km 1 par 1 l.y. 1 km 5.6 x1016 m
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