Name:_____Answer Key_______________
Date:________9/3/13_________________
Period:_________
DIMENSIONAL ANALYSIS WKSHT 3
Work the following problems. Show ALL work. No work = No credit. All
answers MUST have units. For answers containing decimals, round your
answer to the tenths place.
Conversion Factors
1 mi = 5280 ft
1 min= 60 s
1 kg = 2.2 lbs
1 mi = 1.609 km 1 in = 2.54 cm
1 hr = 60 min
1 wk = 7 days
1 lb = 16 oz
1 gal = 3.79 L
1 ft = 12 in
1 yr = 52 wks
1 gal = 128 fl oz
1 yd = 36 in
1 yr = 365 days
5 francs = $1.00
1. The speed limit on many highways in the U.S. is 55 mi/h. What would
the speed limit be in kilometers per hour?
A) 88.5 km/h
B) 24.6 m/s
2. You are in Paris and want to buy some peaches for lunch. The sign in
the fruit stand indicates that peaches are 11.5 francs per kilogram.
Given that there are approximately 5 francs to the dollar, calculate
what a pound of peaches will cost in dollars?
$1.00/ lb
3. Houston Rockets basketball player Yao Ming is about 7.5 feet tall.
Calculate his height in centimeters.
228.6 cm
4. Calculate the number of seconds in an 8.0 hour work day.
28800 sec/work day
5. The fastest pitch in major league baseball was thrown at 100.8 miles
per hour. What was the speed in meters per sec?
45 m/s
6. The human heart pumps blood at the rate of 6.8 fl oz/sec. How many
gal/hr does the heart pump? (Note: Ounces and fluid ounces are not
the same units)
191.3 gal/h
7. Chicago uses 1.2 x 10 9 gallons of water /day. How many gallons per
second must be pumped from the lake to supply the city?
13888.9 gal/s
8. Sixty miles/hour is equivalent to how many feet/min?
5280 ft/min
9. A small herd of cattle consumes fourteen bales of hay in two weeks.
How many bales will this herd consume in a year?
364 bales/year
10.How many feet per second is a wave going if it travels a distance of
one mile in 7.35 seconds?
718.4 ft/sec
11.If you are 1 billion seconds old, how many years old are you?
31.7 years
12.A gas station is charging $1.299 per gallon of gas. What would be the
price for a liter of gas?
$0.34 /L
13.Your 14 year-old friend, RayRay, started working at a fast food
restaurant wrapping hamburgers. Every 3 hours he wraps 350
hamburgers. He works 8 hours per day, 5 days a week. RayRay is
paid every 2 weeks, a salary of $440.34 (after taxes).
A) Approximately how many hamburgers will RayRay have to wrap to
make his first 1 billion dollars?
21195742680 hamburgers (21000000000 hamburgers if rounded)
B) How much time will it take RayRay to wrap all those hamburgers
needed to make 1 billion dollars. Express the time in YEARS. Assume
he works 40 weeks out of the year, and works 8 hours a day. Round
your answer to the nearest YEAR.
113548.6 years
C) How old will RayRay be when he makes his first 1 billion dollars?
113562.6 years
consume in a year?
1