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Let the units Let the units work for work for
you!you!
Step 1: Write down the unit you Step 1: Write down the unit you need for your answer on the right need for your answer on the right
side of your paperside of your paper
Step 2: Write down the unit you are Step 2: Write down the unit you are starting with on the left side of your starting with on the left side of your
paperpaper
Step 3: Try putting in equivalent Step 3: Try putting in equivalent units until they all cancel and give units until they all cancel and give
you what you wantyou what you want
Examples of equivalent units
1 min60 sec
5280 ftmile
12 in ft
60 minhr
1 yard3 ft
1m3.3 ft
55 mi88.5 km
1 mile1609m
1 yr365.25 days
ExampleIn our “constant force” experiment we used a weight to pull cars across the floor. We were surprised to see how
much they accelerated (changed speed)
Some of the cars reached speeds of 150cm/secSome of the cars reached speeds of 150cm/sec
That sounds fast, but what is that in That sounds fast, but what is that in mi/hr?mi/hr?
Step 1- I want an answer in mi/hr, so I will put that on the left
Step 2- I have cm/sec so I will put that on the left
cmsec
hrmi
Step 3- add equivalencies, one at a time until you can convert the units. I usually leave the numbers out untilI determine what units will work
cmsec xx == cm
hr
cm
hrxx
mcm
mimxx
hrmi==
sec1 hr
Remember you are trying to change cm/sec into mi/hrRemember you are trying to change cm/sec into mi/hr
150 cmsec xx == 540000cm
hr
540000cm
hrxx 1 m
100 cm1mi
1609 mxx
hr3.36 mi
==
3600 sec1 hr
Remember you are trying to change cm/sec into mi/hrRemember you are trying to change cm/sec into mi/hr