Question

(a) Suppose a cold front blows into your locale and drops the temperature by 40.0 Fahrenheit degrees. How many degrees Celsius does the temperature decrease when there is a $40.0^{\circ} \mathrm{F}$ decrease in temperature? (b) Show that any change in temperature in Fahrenheit degrees is nine-fifths the change in Celsius degrees.

Name: Problem 7, Chapter 13: College Physics
Uploaded: 2019-10-10T05:01:54-08:00
Duration: 55 s
Channel: Sri Datta Vikas Buchemmavari
Description: (a) Suppose a cold front blows into your locale and drops the temperature by 40.0 Fahrenheit degrees. How many degrees Celsius does the temperature decrease when there is a 40.0^∘ F decrease in temperature? (b) Show that any change in temperature in Fahrenheit degrees is nine-fifths the change in Celsius degrees.

   (a) Suppose a cold front blows into your locale and drops the temperature by 40.0 Fahrenheit degrees. How many degrees Celsius does the temperature decrease when there is a $40.0^{\circ} \mathrm{F}$ decrease in temperature? (b) Show that any change in temperature in Fahrenheit degrees is nine-fifths the change in Celsius degrees.

College Physics

Paul Peter Urone,… 1st Edition

Chapter 13, Problem 7

Instant Answer

Solved by Expert Sri Datta Vikas Buchemmavari

10/10/2019

Step 1

In this case, the temperature decreases by 40.0 Fahrenheit degrees. So we can substitute $F$ with $F - 40$ in the formula: $C = \frac{5}{9}((F - 40) - 32)$ Simplifying the equation: $C = \frac{5}{9}(F - 72)$ Show more…

Show all steps

Thanks for your feedback!

(a) Suppose a cold front blows into your locale and drops the temperature by 40.0 Fahrenheit degrees. How many degrees Celsius does the temperature decrease when there is a $40.0^{\circ} \mathrm{F}$ decrease in temperature? (b) Show that any change in temperature in Fahrenheit degrees is nine-fifths the change in Celsius degrees.

Play audio

Feedback

Sri Datta Vikas Buchemmavari and 71 other subject Physics 101 Mechanics educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Linear Temperature Scale Conversion

The relationship between temperatures in Fahrenheit and Celsius is linear, typically expressed as F = (9/5)C + 32 for absolute temperature values. This means that any temperature can be converted from Celsius to Fahrenheit or vice versa using a constant multiplier and an offset. However, when considering changes in temperature, the additive constant (32) cancels out, leaving only the scaling factor.

Temperature Difference Conversion

For changes in temperature, the conversion simplifies to a direct proportionality. Since any change in Fahrenheit is nine-fifths of the corresponding change in Celsius (i.e., ?F = (9/5)?C), the temperature difference measurement in Celsius can be easily converted to Fahrenheit by multiplying by 9/5, and vice versa, by inverting the multiplier.

Please give Ace some feedback