Question

What is the temperature at which Fahrenheit and Celsius thermometer readings are equal?

Asked by: Hamid A. Khan

Answer

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.

So,

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

Search

Loading






Science Quote

'As long as men are free to ask what they must; free to say what they think; free to think what they will; freedom can never be lost and science can never regress. '

J. Robert Oppenheimer
(1904-1966)
Science Sidebar | Science Education Articles
10 Ways to Keep Your Kids Interested In Science

Young children are natural scientists: they ask questions, pick up sticks and bugs outside, and are curious about the world around them. But as they get a bit older, many kids gradually lose their interest in science. They might see it as just another task at school, something that doesn't apply to their lives. Of course nothing could be further from the truth, so here are ten ways you can remind your kids that science is everywhere. Most of these are fun for adults, too! Continue reading ...

Top Selling

Here are our physics & astronomy bestsellers:
Magnetic Levitator - Classic
12 inch Galileo Thermometer
Cricket, Locust, Beetle and Crab
Solar Radiometer
Weather Station 4M Kit
3D Magnetic Field Tube
Clean Water Science 4M Kit
Revolving Multi-Color Fiberoptic Light
Space Wonder Gyroscope
Mini Plasma Ball

Sponsors

USC University of Southern California Dornsife College Physics and Astronomy Department McMaster University Physics and Astronomy Department