Welcome to PhysLink.com - Your physics and astronomy online portal. Stay a while! Check out our extensive library of educational and reference materials. Also, check out our fun section!
What is the temperature at which Fahrenheit and Celsius thermometer readings are equal?
Asked by: Hamid A. Khan
The temperature at which Fahrenheit and Celsius thermometer readings are equal is: - 40 degrees.
Well if you look at the conversion formulas for Celsius to Fahrenheit, or that of Fahrenheit to Celsius, you can manipulate it mathematically to answer this question.
The conversion formula reads:
T(F) = T(C) x 9/5 + 32
this means that the temperature of Fahrenheit equals the temperature of Celsius multiplied by nine / fifths, plus 32 degrees.
If the temperatures are the same then the two 'T's' in the formula should represent the same temperature.
t = t x 9/5 + 32
minus the nine fifths of t from each side to move it to the left of the equation. this leaves:
t - 9t/5 = 32 ------> this leaves: - 4t/5 = 32
so then you multiply each side by - 5/4 to solve for t, and you get t = - 40 degrees!
(by the way, 't' times,(x), nine/fifths equals 9t/5)
Answered by: Dominic Jones, D.B., High School Student
Here are our physics & astronomy bestsellers:
Tin Can Robot 4M Kit
Magnetic Levitator - Classic
12 inch Galileo Thermometer
CHEM C2000 Chemistry SuperKit v2.0
130 Electronics Projects Kit
3D Solar System Mobile 4M Kit
Physics Workshop Kit
3D Magnetic Field Tube
Solar Robot 4M Kit
Magic Penny Magnet Kit