Unit Conversion Tips & Tricks
Discover helpful shortcuts and methods for unit conversion. Learn how to convert units quickly and accurately using conversion factors, dimensional analysis, and online tools. Practice conversions from miles per hour to feet per second and vice versa. Improve your understanding of unit conversions efficiently.
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Presentation Transcript
Write these down while you wait: 1 hr = 60 min = 3600 sec 1 km = 1000 m .6214 mile 1 mile = 5280 ft = 1760 yards 1609 m 1 m 3.281 ft 1 yard = 3 feet Shortcuts: 1 m/s = 3.6 km/hr 2.237 mph, (mph = miles/hour) 1 mph 1.47 f/s (1.46666666 ) 1 f/s .682 mph (.6818181818 ) Answer This Question: How many feet per second is 30 mph? (use any method you want including help from others but have an answer)
Write these down while you wait: 1 hr = 60 min = 3600 sec 1 km = 1000 m .6214 mile 1 mile = 5280 ft = 1760 yards 1609 m 1 m 3.281 ft 1 yard = 3 feet Shortcuts: 1 m/s = 3.6 km/hr 2.237 mph, 1 mph 1.47 f/s (1.46666666 ) 1 f/s .682 mph (.6818181818 ) (mph = miles/hour) Answer This Question: How many feet per second is 30 mph? (use any method you want including help from others but have an answer) (30 mph)(1.4666666) = 44 ft/s (30 mi)(5280 ft)(1 hr) ( hr )( 1 mi )(3600 s) = 44 ft/s
Dimensional AnalysisContents: Handy things to know Ways to convert Whiteboard practice
1. Unit cancellation 2. Calculator s built in (TI 85/86) 3. Conversion factors 4. Google Ways to convert units: Unit cancellation: 30. mph to ft/s: 30. mi(5280 ft)( 1 hr ) hr ( 1 mi )(3600 s) Calculator (TI 85/86) 2ndCONV, MORE, MORE, SPEED, 30 mi/hr > ft/s = 44 f/s (note the units canceling) Conversion factor: 30. mph to ft/s: (1 mph = 1.47 f/s) 30. mph x (1.47) = 44.1 = 44 ft/s (slightly off - what s the real conversion factor?) Google: Type 30. mph in ft/s into the search bar (text it to 466453?)
Whiteboards: Conversions 1 | 2 | 3 | 4 | 5 TOC
Convert 32 mile/hour to feet/second 5280 ft = 1 mi 3600 s = 1 hr 32 mi(5280 ft)( 1 hr ) = 46.933333 hr ( 1 mi )(3600 s) 47 f/s (2 sig figs) W 47 f/s
Convert 88.0 feet/second to mph 5280 ft = 1 mi 3600 s = 1 hr 88 ft( 1 mi )(3600 s) = 60 mph s (5280 ft)( 1 hr ) 60.0 mph W 60.0 mph
Convert 27.2 m/s to km/hr 1000 m = 1 km 3600 s = 1 hr 27.2 m ( 1 km )(3600 s) = 97.92 km/hr s (1000 m)( 1 hr ) 97.9 km/hr W 97.9 km/hr
Convert 110. km/hr to m/s 1000 m = 1 km 3600 s = 1 hr 110 km (1000 m)( 1 hr ) = 30.55556 m/s hr ( 1 km )(3600 s) 30.6 m/s W 30.6 m/s
Convert 110. km/hr to mph 1 km .6214 mile 3600 s = 1 hr ?? 110 km (.6214 mi) = 68.354 mph hr ( 1 km ) 68.4 mph W 68.4 mph
A car traveling 80. km/hr will go how far (in meters) in 2.7 seconds? 1000 m = 1 km 3600 s = 1 hour (60x60) (km/hr)/(3.6) = m/s 80. km/hr(1000m/km)(3600s/h) = 22.22 m/s v = x/t 22.22 m/s = x/(2.7 s) x = (22.22 m/s)(2.7 s) = 60 m= 60. m W 60. m
A car goes 132 feet in 3.1 seconds. What is its speed in miles per hour? v = x/t v = (132 f)/(3.1 s) = 42.5806 f/s 42.5806 f/s(3600 s/h)/(5280 f/mi) = 29 mph W 170 f
A Baseball going 75 mph takes how much time to go 90. feet? 1 mile = 5280 feet 3600 s = 1 hour (60x60) 1 mph = 1.47 f/s (1.466666... f/s) 75 mi/hr(5280 ft/1 mi)(1 hr/3600 s) = 110 f/s v = x/t 110 f/s = (90. f)/t t = (90. f)/(110 f/s) = .818181818 s = .82 s W .82 s
