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Due Date: Jan.22 (Mon.), 17:00. 1
Instructions:
int fizzle( String s ) |
(8pts) 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 temperatures2 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
Write a java function celcToFahr, which takes a temperature in °C, and returns that temperature expressed in °F.
Careful: Because of how Java does arithmetic, 9/5 evaluates to 1 (recall hw00). Instead, write 9.0/5.0. We'll discuss what's happening in a week or two.
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.
You read in a science article that the surface of the sun is 5700K (“kelvins”3), 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.
Write a function kelvToFahr to convert temperatures in Kelvins to
temperatures in °F.
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?
Be sure to spend time getting your test cases right; they will help you figure out how to solve the general problem.
Your function can either have just a single return statement,
or it can use a
named constant local variable
to store an intermediate result
(presumably: the temperature in °C),
before calculating and returning the final result.
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For these last problems, where you write functions, put them inside
class TempConverter { } |
h(5) = 23 /* Well, instead of 'h', use your particular function name. */ h(0) = 14 ... |
1But you are expected to finish homeworks over the weekend and bring them to class on Monday morning; the 17:00 deadline is there in case you run in to unexpected snags, there is still a chance to come to office hours before the due-date. ↩
2 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 Centigrade set 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. ↩3Interestingly, 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.Aug.27 (Mon) |
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