FUN
DIMENSIONAL ANALYSIS WORSHEET ANSWERS
Dimensional
Analysis - Practice Practice Practice!
1. John and Celeste want to
give all of their chemistry students enough chocolate to make them goofy for
the rest of the day. It's a known fact that it takes exactly 47 chocolate chips
to make a student goofy. The average cookie contains about 29 chocolate chips.
Between them, there are 6 chemistry classes and each class has an average of 18
students. How many chocolate chip cookies does JohnÕs wife, Karen, need to make
so John & Celeste can make all their students goofy?
2. A) EQUIVALENCE STATEMENTS
1
GOOFY (STUDENT) = _47 CHIPS
1
COOKIE = 29 CHIPS
18
STUDENTS = 1 CHEMCLSS
B)
CONVERSION FACTORS WRITE 6 CONVERSIONS FACTORS USING THE EQUIVALENCE STATEMENTS
ABOVE
1
GOOFY 1
COOKIE 18
STUDENTS
47
CHIPS 29
CHIPS 1
CHEMCLSS
47
CHIPS 29
CHIPS 1
CHEMCLSS
1
GOOFY 1
COOKIE 18
STUDENTS
C) DIMENSIONAL ANALYSIS
|
# OF COOKIES = 175
COOKIES
2. On the way
to diving in Salt Point, John frequently points out a chicken plucking
plant. If exactly 2 chickens are
able to escape from the plant before being plucked, and chickens have on
average 512 feathers, how many feathers is the chicken plucking plant not
plucking each year due to its daily escape rate?
1.
RachelÕs parents live on a farm. Her mother decided to try and make it a working farm. She raised 60 goats, then entered into
a series of business transactions. She traded all the goats for sheep at an
exchange rate of 5 goats for 7 sheep. Next, she exchanged all the sheep for
hogs at a rate of 4 sheep for 2 hogs weighing 250 lbs. each. She sold all the
hogs at a market price of $55.00 per 100.0 lbs. How much money did she make
from the 60 goats?
2.
Eggs are shipped from a poultry farm in trucks. The eggs are
packed in cartons of one dozen eggs each; cartons are placed in crates that
hold 20 cartons each. The crates are stacked in the trucks, 5 crates across, 25
crates deep and 25 crates high. How many eggs are in 5 truckloads?
3.
At one time Rigel IV, a class M planet. had a system of
weights and measures called the Bozo system. This system was created and used
by the Bozonians, who lived on a continent in the Northern hemisphere, and had
all of the deficiencies of the current English system on earth. The
relationships between the various units used for length in the Bozo system are
given below:
a.
325 cubebs = 1 furbish
b.
6 furbishes = 1 nautical smile
c.
20 nautical smile = 1 minor league
d.
3 minor leagues = 1 major league
Using the above
conversion factors determine the number of furbishes a Bozonian would have to
walk if his doctor recommended that he walk 2 major leagues each day to
maintain cardiovascular
health.
4.
Mark McGuire hit 70 home runs in the 1998 season. Given that
there are 4 bases with 90 feet between each base, how many miles did he run
that season just from home runs?
5.
An automobile is traveling at a speed of 100. km/h on a
major highway. Express the speed
of the automobile in m/s.
6.
Insurance statistics state that a person loses 8 minutes of
average life for each cigarette smoked. If there are 20 cigarettes in a pack
and the average cost of cigarette is $4.50 per pack over the next 25 years, how
many years of average life would a person lose for smoking 0.5 packs a day for
25 years? How much would the person spend?
7.
RachelÕs dog is a bit out of control. She loves to eat tissues. If you leave her in a room with a
tissue box, she will climb to where it is, take it down, and eat the tissues
one by one. If it takes her 17
seconds to eat one tissue, and there are 150 tissues in one box, how many
minutes does Rachel have to realize what sheÕs doing before sheÕs eaten the
whole box?
8.
Sometimes Marin
Academy teachers have been known to assign a bit of homework (just a bit). If each student takes on average 6.5
classes, and each class assigns on average 45 minutes worth of homework, how
many hours of homework is assigned in a school year (averaging 207 academic
days) for the entire MA student body (approximately 400. students)?
