How Do You Derive Temperature Conversion Formulas?

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To derive the temperature conversion formulas between Fahrenheit and Celsius, the key points include recognizing that water freezes at 32°F and boils at 212°F, establishing a 180-degree range for Fahrenheit compared to a 100-degree range for Celsius. The conversion formula from Fahrenheit to Celsius is c = 5/9(f - 32), where the subtraction of 32 accounts for the offset between the two scales. The ratio of the degree increments is 5/9, derived from the difference in freezing and boiling points. The challenge lies in incorporating the 32°F offset into the equation correctly. Understanding these relationships allows for accurate temperature conversions between the two scales.
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Homework Statement



the fahrenheit temp scale is defined to that ice melts at 32 F and water boils at 212 F. Derive formulas for converting fahrenheit to celsius and back.

Homework Equations


c=5/9(f-32)

The Attempt at a Solution


ok so i figured that 212-32= 180
and
100-0=100
so the ratio of c/f= 5/9
i don't know how to get the 32 part into the equation
 
Physics news on Phys.org
0C=32F. So a fahrenheit temperature f is (f-32) fahrenheit degrees above 0C. Now just convert the (f-32) fahrenheit degrees to celsius degrees.
 

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