To conserve energy, room temperatures are kept at 68.0° F in the winter and 78.0° F in the summer. What are these temperatures on the Celsius scale?

Name: OpenStax College Physics Solution, Chapter 13, Problem 3 (Problems and Exercises)
Uploaded: 2018-06-27T12:04:35-07:00
Duration: 41 s
Description: To conserve energy, room temperatures are kept at 68.0° F in the winter and 78.0° F in the summer. What are these temperatures on the Celsius scale?

Question

To conserve energy, room temperatures are kept at

68.0^\circ\textrm{F}

in the winter and

78.0^\circ\textrm{F}

in the summer. What are these temperatures on the Celsius scale?

Question by OpenStax is licensed under CC BY 4.0

Final Answer

$T_w = 20.0^\circ\textrm{C}$

$T_s = 25.6^\circ\textrm{C}$

Solution video

OpenStax College Physics, Chapter 13, Problem 3 (Problems & Exercises)

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Video Transcript

This is College Physics Answers with Shaun Dychko. To find the temperature in degrees Celsius, we subtract 32 from the temperature in degrees Fahrenheit and then multiply that difference by 5 over 9. So in the winter when the Fahrenheit temperature is 68.0 degrees, we subtract 32 from that, multiply by 5 over 9 and we get 20.0 degrees Celsius. Then in the summer—the subscript s here stands for 'summer' whereas up here the w stands for 'winter'— in the summer, we have 78.0 degrees Fahrenheit minus 32 times 5 over 9 is 25.6 degrees Celsius.