How Do You Derive Temperature Conversion Formulas?

  • Thread starter Thread starter briteliner
  • Start date Start date
  • Tags Tags
    Derive Formula
Click For Summary
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.
briteliner
Messages
62
Reaction score
0

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.
 

Thread 'Magnitude of buoyant force in fluids of different densities'

The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?
View full post »

Similar threads

Boiling Water Temp: Celsius vs. Fahrenheit
  • · Replies 3 ·
Replies
3
Views
4K
Why we would 32 in Celsius to Fahrenheit & Vice Versa
  • · Replies 3 ·
Replies
3
Views
13K
Temperature change in Celsius from Fahrenheit value
  • · Replies 5 ·
Replies
5
Views
4K
How do I calculate physics formulas containing derivatives and real numbers?
  • · Replies 5 ·
Replies
5
Views
2K
MHB Find Linear Equation: C=f(F) Temp Conversion
  • · Replies 2 ·
Replies
2
Views
2K
What is the Final Temperature When Mixing Water and Ice, Assuming All Ice Melts?
  • · Replies 12 ·
Replies
12
Views
1K
Simple temperature conversion problem
  • · Replies 2 ·
Replies
2
Views
2K
Convert Change in Temp from Celsius to Fahrenheit
  • · Replies 2 ·
Replies
2
Views
2K
Temperature Conversion: Increase a Sample by 43.8 Degrees Celsius
  • · Replies 8 ·
Replies
8
Views
5K
When to convert units of temperature?
  • · Replies 2 ·
Replies
2
Views
2K