write these down while you wait: 1 hr = 60 min = 3600 sec 1 km = 1000 m .6214 mile 1 mile = 5280 ft...

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)

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Page 1: 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

Answer This Question:How many feet per second is 30 mph? (use any method you want – including help from others – but have an answer)

Page 2: 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

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) = 44 ft/s( hr )( 1 mi )(3600 s)

Page 3: 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

Dimensional Analysis Contents:•Handy things to know•Ways to convert•Whiteboard practice

Page 4: 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

Page 5: 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

Ways to convert units:1. Unit cancellation2. Calculator’s built in (TI 85/86)3. Conversion factors4. Google

Unit cancellation: 30. mph to ft/s:

30. mi(5280 ft)( 1 hr ) hr ( 1 mi )(3600 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?)

Calculator (TI 85/86)2nd CONV, MORE, MORE, SPEED, 30 mi/hr > ft/s

Page 6: 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

Whiteboards: Conversions1 | 2 | 3 | 4 | 5

TOC

Page 7: 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

Convert 32 mile/hour to feet/second5280 ft = 1 mi3600 s = 1 hr

32 mi(5280 ft)( 1 hr ) = 46.933333 hr ( 1 mi )(3600 s)

47 f/s (2 sig figs)

47 f/s W

Page 8: 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

Convert 88.0 feet/second to mph5280 ft = 1 mi3600 s = 1 hr

88 ft( 1 mi )(3600 s) = 60 mph s (5280 ft)( 1 hr )

60.0 mph

60.0 mph W

Page 9: 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

Convert 27.2 m/s to km/hr1000 m = 1 km3600 s = 1 hr

27.2 m ( 1 km )(3600 s) = 97.92 km/hr s (1000 m)( 1 hr )

97.9 km/hr

97.9 km/hr W

Page 10: 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

Convert 110. km/hr to m/s1000 m = 1 km3600 s = 1 hr

110 km (1000 m)( 1 hr ) = 30.55556 m/s hr ( 1 km )(3600 s)

30.6 m/s

30.6 m/s W

Page 11: 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

Convert 110. km/hr to mph1 km .6214 mile3600 s = 1 hr ??

110 km (.6214 mi) = 68.354 mph hr ( 1 km )

68.4 mph

68.4 mph W

Page 12: 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

A car traveling 80. km/hr will go how far (in meters) in 2.7 seconds?1000 m = 1 km3600 s = 1 hour (60x60)(km/hr)/(3.6) = m/s

80. km/hr(1000m/km)(3600s/h) = 22.22 m/s v = x/t22.22 m/s = x/(2.7 s)x = (22.22 m/s)(2.7 s) = 60 m= 60. m

60. m W

Page 13: 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

A car goes 132 feet in 3.1 seconds. What is its speed in miles per hour?

v = x/tv = (132 f)/(3.1 s) = 42.5806 f/s42.5806 f/s(3600 s/h)/(5280 f/mi) = 29 mph

170 f W

Page 14: 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

A Baseball going 75 mph takes how much time to go 90. feet?1 mile = 5280 feet3600 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/sv = x/t110 f/s = (90. f)/tt = (90. f)/(110 f/s) = .818181818 s = .82 s

.82 s W

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write these down while you wait: 1 hr = 60 min = 3600 sec 1 km = 1000 m .6214 mile 1 mile = 5280 ft...

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