MTH 15/16
Using Units HomeWork
Applied Calculus I & II
Unit Conversions
Please use these unit-equivalence factors to complete the unit-conversion exercises below.
 Please SHOW all WORK as NoWork  NoCredit
1 mile = 5280 feet
1 meter = 3.281 feet
1 foot = 12 inches
1 yard = 3 feet
1 lb = 4.448 Newtons
1 m2 = 1973.5 Circular inches
1 cup = 48 TeaSpoon
$1 = 0.787 €
1 Btu = 1054.4 Joule
1 Watt = 1 Joule/sec
1 HorsePower = 2545 Btu/hr
1 km = 1000 meters
1 furlong = 220 yards
°F = 1.8x°C + 32
1 Acre = 43,560 ft2
$1 = 16,030 Viet Nam Dong
1 hour = 60 min
1 min = 60 sec
1 gallon = 3.785 liters
1 ft3 = 7.4805 gallons
1 Pascal = 1 Newton/m2
1 HorsePower = 550 ft-lb/s
1 lb = 16 ounces
$1 = 10.825 Mexican Pesos
1. (4 Points) RACE CAR SPEED. In 1990 Arie Luyendyk, driving for Douglas Shierson
Racing, won the Indianapolis 500 mile automobile race in a time of 2 hours, 41 minutes
and 18.404 seconds (2h:41m:18.404s) What was Luyendyk’s average speed for the 1990
“Indy 500” in Miles per Hour?
2. (3 Points) RACE CAR SPEED. With reference to problem-1, What was Luyendyk’s average
speed for the 1990 “Indy 500” in Meters per Second?
© Bruce Mayer, PE • Chabot College • Document1 • Page 1 of 8
3. (4 Points) RACE CAR POWER. IndyCar Series engines are rev-limited to 10,300 rpm and
produce approximately 650 HorsePower (650 hp). What is the IndyCar Power-Output in
kiloWatts (kW)
4. (4 Points) HAIR DRYER POWER. The Power Rating of personal Hair Dryer is 1875 Watts.
What is the equivalent heating power in Btu/Hr?
5. (3 Points) SOCCER FIELD AREA: By
FIFA rules the Largest possible regulation
soccer field measures 90 meters wide by
120 meters long. How many ACRES of
Land are contained in this 90mX120m
rectangle?
© Bruce Mayer, PE • Chabot College • Document1 • Page 2 of 8
6. (4 Points) MILK PRICE: In Mexico a liter of regular MILK costs about 11.70 Pesos. What is
this cost when expressed in Dollars per Gallon ($/Gal)?
7. (2 Points) MIDDLE EAST CLIMATE: The highest temperatures recorded1 in the middle east
range from the 110s to 120s, with Dhahran, Saudi Arabia, claiming an all time high of 124
°F. What is 124 °F when expressed in degrees Celcius (°C)?
8. (5 Points) LIQUID MERCURY, Hg: The
liquid metal mercury has a Specific Weight
of 0.49 pounds per Cubic-Inch (lb/in3).
ReState the Specific Weight of Hg in
Newtons per Cubic-Meter
1
http://www.magazine.noaa.gov/stories/mag87.htm
© Bruce Mayer, PE • Chabot College • Document1 • Page 3 of 8
9. (5 points) ROOM SIZE. In Japan, the size of rooms is measured in tatami mats (jo). One
tatami mat is 1.8 m x 0.90 m; with 14-jo being a good-sized living/dining room. How large is
this good-sized living room in square feet?
10. (5 Points) WATER RESERVOIR STORAGE. The Water Storage Capacity of large
reservoirs are measured in ACRE•FEET. An Acre•Foot of water is equivalent to an area of
one Acre covered with water one foot deep. Lake Chabot has a storage capacity of about
504 Acre•Feet of water. Convert this storage capacity to Gallons.
11. (2 Points) ANCHOR BOLTED-JOINT DESIGN.
A Civil Engineering designs an earthquake
retrofit system for a 4400 ft2 house. The
engineer designs a foundation-stabilization
structure that uses 5/16-18, stainless-steel
concrete-anchor bolts. The anchor-bolt has
PullOut rated Load of 7250 lbs. The building
code calls for a minimum factor of safety of 1.4
which means that the Design Load can be NO
MORE than 71.4% of the Rated Load. For these
circumstance what is the rated load in lbs?
© Bruce Mayer, PE • Chabot College • Document1 • Page 4 of 8
12. (2 Points) ENGINE TORQUE Δ%. Jeep's overhead-cam six cylinder, 230-cubic-inch
gasoline engine, called the Tornado, was one of the first mass-produced overhead-cam
engines built in the United States after World War II. In early 1960 Willys Motor engineer
A.C. Sampietro started to design the new engine. By May 1961 Sampietro's engine had
passed its 100-hour full-power certification tests producing the Torque/Power-Speed curve
shown below. This engine has an usually “Flat” Torque-Speed curve2. What is the %Change in Torque when the engine speed changes from 2200 rpm to 4000 rpm?
2
A flat Torque curve is usually very desirable
© Bruce Mayer, PE • Chabot College • Document1 • Page 5 of 8
True/False
For the next Several Problems circle T or F
13. (1 point) A Cubit is the first recorded unit of length. The Cubit was originally defined as the
length of a Human FOREARM.
T
F
14. (1 point) ) A Cubit is the first recorded unit of length. The Cubit was originally defined as the
length of a Human THUMB.
T
F
15. (1 point) The “STERADIAN” is a SI BASE Unit
T
F
16. (1 point) The Engineering Unit “Watt” is the same thing as a “Joule per second”
T
F
17. (1 point) The NONstandard SI-Unit PreFix “deci” (as in deciBel) means one tenth (1/10)
T
F
18. (1 point) The NONstandard SI-Unit PreFix “centi” (as in centiLiter) means one hundred
(100X or 100 times)
T
F
19. The Force/Weight unit, the POUND (lb), is an SI Base-Unit
T
F
20. (1 point) In past years Temperature was defined, at least in part, by the Freezing Point of
the metal Platinum
© Bruce Mayer, PE • Chabot College • Document1 • Page 6 of 8
T
F
21. (1 point) The Degree Fahrenheit (°F) is a BASE
Unit in The Système international d'unités (SI
Unit System)
T
F
22. (1 point) 100% and Number 1 are
mathematically equivalent
T
F
Short Answer
23. (2 Points) Name ALL the SI Base units Which
are NOT defined in terms of Unchanging physical phenomena:
24. (2 points) The SI unit “mole” contains about this many (a NUMBER) “entities” :
25. (2 point) According to the Using Units Presentation the year in which The First “Atomic
Clock” became operational was:
© Bruce Mayer, PE • Chabot College • Document1 • Page 7 of 8
26. (2 points) Name ALL of the SI Base Units:
27. (2 points) Common measurements units can be “Derived” from the 7 basic SI units. Some
of these derived units are given special names; e.g., the derived unit for electrical charge is
called the “coulomb”. Other than the coulomb, list FOUR special-name units derived from
the SI basis units.
Print Date/Time = 21-Mar-16/23:57
58 pts Total
© Bruce Mayer, PE • Chabot College • Document1 • Page 8 of 8