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Instructions:
Type into a BlueJ file, and submit both a hardcopy in class,
plus electronically via Blackboard:
Blackboard > Assignments > hw01a > Add attachment.
Clarification:
The file you want to attach is TempConverter.java,
which is inside the project folder (which in turn should be inside your
itec120 folder inside your H drive).
Windows users: Windows Explorer hides the “.java” suffix, so if you see a file TempConverter with no suffix, that's really the .java file. Do not submit files with other suffixes (no “.class” or “.ctxt” files).
Do not submit any running code for part (b), though you will paste work from here into your part (c).
/** Itec120 hw01b. * See http://www.radford.edu/itec120/2007fall-ibarland/Homeworks/hw01.html * @author your name here */ class TempConverter { } |
In some odd countries (namely Canada, and most of the rest of the world), temperatures are measured in degrees Celcius, instead of degrees Fahrenheit. So when you are traveling and you look in the newspaper and see a forecast for 22°C, it might sound chilly until a friendly Canadian citizen tells you that this is a balmy 71.6°F.
Some other notable temperatures1 are freezing (0°C, which is 32°F), and boiling (100°C, which is 212°F).
The general case for converting degrees-Celcius into degrees-Fahrenheit is given by the arithmetic formula
F(C) = 9⁄5 · C + 32
From Futurama The Series Has Landed:
Fry: Ooh, nighttime on the moon!
Old coot: It git down to minus one hundr'd, sev'nty-three.
Fry, worriedly: Fahrenheit, or Celsius?
Old coot: First one, then th' other.
/* * mo.celcToFahr(22) = 71.6 * mo.celcToFahr( ) = * mo.celcToFahr( ) = * mo.celcToFahr(37) = */ |
You read in a science article that the surface of the sun is 5700K (“kelvins”2), and that absolute zero is (conveniently) 0 Kelvin. These numbers seem even more baffling, until that same cheerful Canadian tells you that to convert a temperature from Kelvins to °C, you simply subtract 273.15. So 0 K (absolute zero) is -273.15°C, which in turn is -459.67°F, brr. Similarly, 273.15K (freezing) is 0°C which (as we've seen earlier) is 32°F.
/* * mo.kelvToFahr(5000) = |
Instructions: Type into a BlueJ file, and submit both a hardcopy in class(lab), plus electronically via Blackboard.
Run the test cases you figured out in part (b).
Careful: Because of how Java does arithmetic, 9/5 evaluates to 1. Instead, write 9.0/5.0. We'll discuss what's happening in a week or two.
Finally, go ahead and complete the function kelvToFahr.
Hint: If somebody gives you a temperature in Kelvins, converting that temperature into degrees Celsius is pretty easy. How can you then leverage code from the preceding problem, to convert that many degrees Celsius amount into degrees Fahrenheit?
Run the test cases you figured out in part (b).
1 One other intriguing test case is that -40°C = -40°F. Is it some mystical coincidence, that two scales exactly meet at such a nice round number, instead of some random number with a bajillion decimal places?
Well, it is a small bit of luck that the answer is an integer, but every integer celcius temperature corresponds to an even fifth-of-a-fahrenheit temperature, because of the 9/5 in the formula. Where does 9/5 come from?
The factor of 9/5 stems from the difference between freezing and boiling in the two systems: (212-32)/(100-0) = 180/100 = 9/5. Both scientists Fahrenheit and Celsius chose integers for the freezing and boiling of water, so that there'd be an integer number of notches on their thermometer between the two. This is the ultimate reason why conversions between the two systems use rational numbers, and not some long irrational real number arising randomly from nature.
If some martians came to Earth and (fascinated by all the ambient water) decided that they would invent a new temperature scale where the freezing point of water was declared as -27°Martian and the boiling point as 123°Martian, we'd still end up with a conversions which used fractions, not irrationals.
↩2Interestingly, you don't write or say “degrees” with the Kelvin scale; the unit of temperature has just a one-word name rather than a two-word name. ↩
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©2007, Ian Barland, Radford University Last modified 2007.Sep.02 (Sun) |
Please mail any suggestions (incl. typos, broken links) to ibarlandradford.edu |