Physics II Question dealing with temperature
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Physics II Question dealing with temperature

[From: ] [author: ] [Date: 12-01-13] [Hit: ]
4C = 1.2.C = 14.54 deg C and accordingly the temp in F is 58.b)now, F = 1/5 C = 0.......
At what temperature (degrees Celsius) is the Fahrenheit scale reading equal to (a) 4 times that of the Celsius and (b) 1/5 times that of the Celsius?

If anybody could explain to me how to get the answer along with the answers I'd greatly appreciate it.

Thank you.

-
we start with the relationship between degrees F and degrees C:

F = 1.8C+32 where F is the degrees in Fahrenheit and C is the degrees in C

we are first asked to find when F = 4C

set F = 4C in the equation above and get

4C = 1.8C +32
2.2C = 32
C = 14.54 deg C and accordingly the temp in F is 58.18 deg F

b) now, F = 1/5 C = 0.2C

following the same procedure

0.2C = 1.8C +32

-1.6C = 32
C = - 20 deg C the corresponding temp in deg F is - 4 F, and the relationship of F=C/5 holds
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