# Ch1 - 1.1.IDENTIFY Convert units from mi to km and from km to ft SET UP 1 in = 2.54 cm 1 km = 1000 m 12 in = 1 ft 1 mi = 5280 ft 5280 ft 12 in 2.54

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1.1.IDENTIFY: Convert units from mi to km and from km to ft. SET UP: , 1 , 12 1 in. 2.54 cm = km = 1000 m in. 1 ft = , 1 . mi = 5280 ft EXECUTE: (a) 23 5280 ft 12 in. 2.54 cm 1 m 1 km 1.00 mi (1.00 mi) 1.61 km 1 mi 1 ft 1 in. 10 cm 10 m ⎛⎞ == ⎜⎟ ⎝⎠ (b) 32 3 1 in. 1 ft 1.00 km (1.00 km) 3.28 10 ft 1 km 1 m 2.54 cm 12 in. × E VALUATE : A mile is a greater distance than a kilometer. There are 5280 ft in a mile but only 3280 ft in a km. 1.5.IDENTIFY: Convert volume units from to L. 3 in. SET UP: . 1 3 1 L 1000 cm = in. 2.54 cm = . EXECUTE: ( ) () ( ) 3 33 327 in. 2.54 cm in. 1 L 1000 cm 5.36 L ×× = E VALUATE : The volume is . is less than , so the volume in is a larger number than the volume in . 3 5360 cm 3 1 cm 3 3 cm 3 in. 1.13.IDENTIFY: The percent error is the error divided by the quantity. SET UP: The distance from Berlin to Paris is given to the nearest 10 km. EXECUTE: (a) 3 3 10 m 1 . 11 0% . 890 10 m × (b) Since the distance was given as 890 km, the total distance should be 890,000 meters. We know the total distance to only three significant figures. E VALUATE : In this case a very small percentage error has disastrous consequences. 1.24.IDENTIFY: Estimate the number of beats per minute and the duration of a lifetime. The volume of blood pumped during this interval is then the volume per beat multiplied by the total beats. SET UP: An average middle-aged (40 year-old) adult at rest has a heart rate of roughly 75 beats per minute. To calculate the number of beats in a lifetime, use the current average lifespan of 80 years. EXECUTE: 9 beats 60 min 24 h 365 days 80 yr 75 beats/min 3 10 beats/lifespan 1 h 1 day yr lifespan N × 9 3 7 blood 3 1 L 1 gal 3 10 beats 50 cm /beat 4 10 gal/lifespan 1000 cm 3.788 L lifespan V × × E VALUATE : This is a very large volume.

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## This note was uploaded on 04/29/2008 for the course PH 1110 taught by Professor Kiel during the Fall '08 term at WPI.

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Ch1 - 1.1.IDENTIFY Convert units from mi to km and from km to ft SET UP 1 in = 2.54 cm 1 km = 1000 m 12 in = 1 ft 1 mi = 5280 ft 5280 ft 12 in 2.54

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