TCRM Lesson 10/26

Dimensional Analysis

Remember that using dimensional analysis, you have to use the "railroad tracks" to show the different conversions.

o You can look these up now, but on a test I will provide resources

Multiple Choice

Which of these would best fit in the box?

• 60 min

• 1 day

• 4 hrs

• 1 hr

Multiple Choice

Which of these would be the appropriate unit in the box?

• 60 min

• 1 day

• 1 hour

• 1 year

Multiple Choice

Is there anything wrong with the dimensional analysis set up yes or no and why?

• yes, you have to have days in the denominator in the 2nd column to cancel with days in the first

• no, at the end of the dimensional analysis you will have days² which is very helpful

• no, in this set up the days cancel every time

• yes, minutes will cancel with days easily with days in the numerator

Multiple Choice

The Olympic record for the high jump is just over 2.6 yards. What is that distance in feet? (3 ft = 1 yd)

• 0.867 ft

• 7.8 ft

• 8.07 ft

• 8.27 ft

Multiple Choice

Americans drink 5,604,000 gallons of sweet tea each day. How many liters is that? (1 gal = 3.79 L)

• 21,200,000 L

• 21,239,160 L

• 21,207,190.2 L

• 21,000,000 L

Multiple Choice

How many minutes are in a school year, 187 days?

• 279,280 min.

• 16, 200 min.

• 16, 156 min.

• 269,280 min.

Multiple Choice

How many kilograms of calcium are there in 173 pounds of calcium? (1 lb = 454 g; 1 kg = 1000 g)

• 1.10 kg

• 78.5 kg

• 110 kg

• 78500 kg

Multiple Choice

Convert 62 miles/hour to feet/second. (5,280 ft = 1 mi)

• 5,456 ft/s

• .003 ft/s

• 91 ft/s

• 909 ft/s

Multiple Choice

Convert 70,000 quarts/year to pints/day

• 383.6 pints/day

• 767.1 pints/day

• 1,534.2 pints/day

• 191.8 pints/day

Multiple Choice

Convert 20 tons/year to ounces/day

• .0004 ounces/day

• 6.8 ounces/day

• 109.6 ounces/day

• 1,753.42 ounces/day

Poll

How confident do you feel in your dimensional analysis skills?

• Not a clue

• I need some practice

• Nailed it!

• I could teach the class!