How Do You Derive Temperature Conversion Formulas?

  • Thread starter Thread starter briteliner
  • Start date Start date
  • Tags Tags
    Derive Formula
AI Thread 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 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Boiling Water Temp: Celsius vs. Fahrenheit
Replies
3
Views
4K
Why we would 32 in Celsius to Fahrenheit & Vice Versa
Replies
3
Views
13K
Temperature change in Celsius from Fahrenheit value
Replies
5
Views
4K
How do I calculate physics formulas containing derivatives and real numbers?
Replies
5
Views
2K
MHB Find Linear Equation: C=f(F) Temp Conversion
Replies
2
Views
2K
Simple temperature conversion problem
Replies
2
Views
2K
Convert Change in Temp from Celsius to Fahrenheit
Replies
2
Views
2K
Temperature Conversion: Increase a Sample by 43.8 Degrees Celsius
Replies
8
Views
5K
When to convert units of temperature?
Replies
2
Views
2K
What is the Fahrenheit equivalent of 62.0 °C?
Replies
6
Views
2K

Hot Threads

Recent Insights

Back
Top