Chapter 16, Problem 23RQ

We have made many measurements of coffee cooling in a ceramic coffee cup. We realize that as the coffee cools. It gradually reaches room temperature. Consequently, we report the value of the coffee temperature in degrees above room temperature (so after a long time, the temperature rise will be equal to 0). Also, we realize that the hotter the coffee is initially (above room temperature), the longer it will take to cool. The values presented here are in degrees Fahrenheit.

Write a MATLAB function that will perform a single interpolation given five numbers as input arguments and return the interpolated value as the only function output.

Write a MATLAB program that will calculate the following scenarios. Store each part in a different variable (e.g., part (a) should be stored in a variable named PartA, part (b) should be stored in a variable named PartB, etc.),

a.    What is the temperature (rise) of the cup of coffee after 37 minutes if the initial rise of temperature is 40 degrees Fahrenheit?

b.    If the coffee cools for 30 minutes and has risen 14 degrees Fahrenheit at that time, what was the initial temperature rise?

c.    Find the temperature rise of the coffee at 17 minutes if the initial rise is 53 degrees Fahrenheit.