Pearson Algebra 1 Common Core, 2011
PA
Pearson Algebra 1 Common Core, 2011 View details
6. Ratios, Rates, and Conversions
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Exercise 30 Page 119

When multiplying conversion factors, make sure the only remaining units are the desired units.

65.88km/h

Practice makes perfect
Let's start by writing the given statement. 60ft/s&= km/h In this exercise, we need to change feet per second into kilometers per hour. Since this will involve multiple conversion factors, let's organize them in a table.
Starting Unit Converted Unit
1 foot 0.305 meters
1000 meters 1 kilometer
60 seconds 1 minute
60 minutes 1 hour
To perform this conversion, we need to multiply the given value by all of these conversion factors. Remember, we need to arrange these ratios such that every unit we do not want gets canceled out and only the units that we want will remain.
60 ft/s*0.305 m/1 ft*1 km/1000 m*60 s/1 min*60 min/1 hr
60 ft* 0.305 m* 1 km* 60 s* 60 min/s* 1 ft* 1000 m* 1 min* 1 hr
60ft* 0.305m* 1 km* 60s* 60min/s* 1ft* 1000m* 1min* 1 hr
60* 0.305* 1km* 60* 60/1* 1000* 1* 1hr
65880km/1000hr
65.88km/hr
We found that 60ft/s is approximately equal to 65.88km/h. We can now complete the given statement. 60ft/s&=65.88km/h

Extra

Common Conversion Factors
The following tool can be used to help you explore some of the most commonly used conversion factors. Conversions can be made both within or between the Metric System and the Imperial System — which is also known as the U.S. Customary System.
Conversion factors between different units of measurement
Around the world, people use conversion factors on a regular basis. You can read more about some practical applications of conversion factors in our original content.

Dimensional Analysis and Using Units