Solution Found!
The rate of chirping of the snowy tree cricket (Oeamthus
Chapter 16, Problem 75GP(choose chapter or problem)
The Cricket Thermometer The rate of chirping of the snowy tree cricket (Oecanthus fultoni Walker) varies with temperature in a predictable way. A linear relationship provides a good match to the chirp rate, but an even more accurate relationship is the following:
\(\mathrm{N}=\left(5.63 \times 10^{10}\right) e^{-(6290 \mathrm{k}) / \mathrm{T}}\)
In this expression, N is the number of chirps in 13.0 s and T is the temperature in kelvins. If a cricket is observed to chirp 185 times in 60.0 s, what is the temperature in degrees Fahrenheit?
Equation Transcription:
Text Transcription:
N=(5.63 \times 10^10) e^-(6290 k) T
Questions & Answers
QUESTION:
The Cricket Thermometer The rate of chirping of the snowy tree cricket (Oecanthus fultoni Walker) varies with temperature in a predictable way. A linear relationship provides a good match to the chirp rate, but an even more accurate relationship is the following:
\(\mathrm{N}=\left(5.63 \times 10^{10}\right) e^{-(6290 \mathrm{k}) / \mathrm{T}}\)
In this expression, N is the number of chirps in 13.0 s and T is the temperature in kelvins. If a cricket is observed to chirp 185 times in 60.0 s, what is the temperature in degrees Fahrenheit?
Equation Transcription:
Text Transcription:
N=(5.63 \times 10^10) e^-(6290 k) T
ANSWER:
Step 1 of 3
The rate at which a cricket chirps is related to the temperature of the cricket. Using the provided equation, we wish to calculate the temperature of the cricket from the number of chirps in one minute.
Let us calculate the temperature that corresponds to the specified chirping rate of the snowy tree cricket. First, we calculate the number of chirps per second.
Then, we calculate the number of chirps 
The relationship of chirping rate and temperature is given by
