Why can't I convert temperature units using simple conversions?

  • Thread starter Thread starter rootX
  • Start date Start date
  • Tags Tags
    Temperature
AI Thread Summary
Converting temperature units between Kelvin and Fahrenheit requires more than simple multiplication due to the different scaling and offsets of the temperature scales. The correct conversion involves using the formula T(K) = {5/9[T(F) - 32]} + 273.15, which accounts for both the linear offset and the varying increments per degree. While Celsius and Kelvin share the same step size, Fahrenheit introduces a different scaling factor, complicating direct conversions. The confusion arises because other unit conversions may work with straightforward multiplication, but temperature conversions necessitate specific formulas. Understanding these relationships is crucial for accurate temperature conversions.
rootX
Messages
478
Reaction score
4
Why I cannot convert 1 K to say 1 F using these conversions:
=1 K * (1 C/ 274.15 K) * (33.8 F / 1 C )?

I get correct answer only if I substitute F in K-C formula for C:
T(K) = {5/9[T(F) -32]}+273.15

Thanks.

P.S. just solved another question using the conversion units provided ..
http://www.katmarsoftware.com/gconvals.htm
 
Physics news on Phys.org
You want to convert degrees K to degrees F? Each of these temperature scales have linear offsets with respect to each other. The K and C scales have the same step per degree, but are offset from each other. The K and F scales have different steps (lke the 5/9 factor that you list in the answer), and they are offset. That is why you need to use an equation more like the 2nd one to convert from F to K and visa-versa.
 
Thanks,
I thought of that..
but as all other units co-incidently can be converted using that first way, so I got confused...
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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...

Similar threads

Back
Top