Checklist
More Unit Conversions!
Categories so far (2A and 2B): Length, time, area, volume, currency, temperature, energy, power, density, concentration.
Notes
(Math 1030) M 1030 § 2B 1 / 12
Assignment
Assignment:
1.
p 108 Quick Quiz
2.
p 109 - 110 Excercises 25, 27, 29, 37, 39, 41, 45, 47,
52, 53, 57, 61
Notes
(Math 1030) M 1030 § 2B 2 / 12
Key Words
USCS system U.S customary system of measurement.
SI system International system of units, also the metric system.
Categories of units: temperature, energy, power, density, concentration
Notes
(Math 1030) M 1030 § 2B 3 / 12

More Unit Conversions
Section 2B adds more unit conversions. This time an emphasis is placed on the systems of measurements used worldwide:
USCS U.S. Customary System includes units in feet, pounds, ounces, acres, leagues.
SI International System of Units includes meters, grams, liters.
Conversion between the two systems is often neccessary in the U.S.
(Math 1030) M 1030 § 2B 4 / 12
Notes
Examples of Converting Systems 1
Two historic races in track and field are the mile (1 USCS mile) and the metric mile (1500 meters).
The metric mile is what percentage of USCS mile in length? (Use 1 mile = 1.6093 kg.)
The world records (as of 2009) in the events are
Men Women
Mile 3:43:13 4:12:56
Metric Mile 3:26:00 3:50:46
Compare the average speeds for each gender and each event.
(Math 1030) M 1030 § 2B 5 / 12
Notes
Examples of Converting Systems 2
In Jules Verne’s 20,000 Leagues Under the Sea , does the title refer to an ocean depth? (Use 1 marine league = 3 nautical miles, 1 nautical mile ≈ 6076.1 feet, and 1 mile
= 5280 feet.)
The diameter of Earth is 7,918 miles.
Notes
(Math 1030) M 1030 § 2B 6 / 12

Examples of Temperature
Fahrenheit: F = 1 .
8 × C + 32
F − 32
Celsius: C =
1 .
8
Kelvin: K = C + 273 .
15
The average human body temperature is 98.6
◦
F . What is it in Celsius and Kelvin?
The local weather report says the temperature will be 59
◦
, but does not report what the system is. How do you tell which system it is?
(Math 1030) M 1030 § 2B 7 / 12
Notes
Examples of Energy and Power
You may require 2,500 food Calories per day. What is your average power in Watts? (Use 1 Calorie = 4184
Joules, and 1 watt = 1 Joule per second.)
Notes
(Math 1030) M 1030 § 2B 8 / 12
Examples of Density and Concentration 1
New Jersey and Alaska have population of 8.7 million and
680,000, respectively. Their areas are 7417 and 571,951 square miles, respectively. Compute the population densities of both states.
Notes
(Math 1030) M 1030 § 2B 9 / 12

Examples of Density and Concentration 2
The average adult man has about 5 liters of blood, and an average 12-ounce can of beer contains about 15 grams of alcohol. (About 6% by volume.) If alcohol is immediately absorbed into the bloodstream, what blood alcohol content would we find in an average adult man who quickly drank a single can of beer? (A standard unit of blood alcohol is 1 gram per 100 millileters.)
The legal limit is about 0.08 g / 100 mL.
(Math 1030) M 1030 § 2B 10 / 12
Notes
Examples of Currency (2A)
Apples in France cost 2.50 euros per kilogram. What is the price in dollars per pound? (Use 1 dollar = 1.256
euros, 1 kg = 2.205 lbs.)
An 0.8-liter bottle of Mexican wine costs 100 pesos.
What is the price in dollars per ounce? (Use 1 peso =
15.19 dollars, 1 fl oz = 29.574 mL.)
Notes
(Math 1030) M 1030 § 2B 11 / 12
Examples for Water Usage Project
The total water use in the US is estimated as 408 billion gallons per day. If there are about 300 million people in the US, find the average water use in gallons per person per day.
Notes
(Math 1030) M 1030 § 2B 12 / 12