# Problem Solving Using Dimensional Analysis

Document Sample

```					    Problem Solving
Using Conversion Factors
EDITED
Initial and Final Units

1. A person has a height of 2.0 meters. What is
that height in inches?
Initial unit =         Final unit = _______
2) Blood has a density of 0.05 g/mL. If a person
lost 0.30 pints of blood at 18°C, how many
ounces of blood would that be?
Initial =              Final unit = _______
How many minutes are in 2.5 hours?

Initial unit                   Final unit

Conversion
factor
x           =

cancel
Learning Check

A rattlesnake is 2.44 m long. How long is the
snake in cm?

1) 2440 cm
2) 244 cm
3) 24.4 cm
Solution

A rattlesnake is 2.44 m long. How long is the
snake in cm?

x              =
Learning Check

How many seconds are in 1.4 days?

Unit plan:

1.4 days x 24 hr x
1 day
Unit Check

What is wrong with the following setup?

1.4 day   x 1 day   x   60 min   x 60 sec
24 hr        1 hr      1 min
Learning Check
An adult human has 4650 mL of blood. How
many gallons of blood is that?

Unit plan:

Equalities:    1 quart = 946 mL
1 gallon = 4 quarts

Steps to Problem Solving
   Identify data
   Write down a unit plan from the initial unit
to the desired unit
   Select conversion factors
   Change initial unit to desired unit
   Cancel units and check
   Do math on calculator
Learning Check

If the ski pole is 3.0 feet in length, how long is
the ski pole in mm?
Learning Check

If your pace on a treadmill is 65 meters per
minute, how many seconds will it take for you to
walk a distance of 8450 feet?

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