PROBLEM $2(25$ points$)$:

The relative humidity, RH$,$ at sea level can be calculated from measured val$-$

ues of the dry$-$bulb temperature, T$\_($db$),$ and the wet$-$bulb temperature T$\_($wb$)$ by

$($temperatures in degrees Celsius$)$:

RH$=($VP$)/($SVP$)100$

where VP is the vapor pressure given by:

VP$=$e$^((16\mathrm{.}78$T$\_($wb$)-116\mathrm{.}9)/($T$\_($wb$)+237\mathrm{.}3))-0\mathrm{.}066858(1+0\mathrm{.}00115$T$\_($wb$))($T$\_($db$)-$T$\_($wb$))$

and VP is the saturated vapor pressure given by:

SVP$=$e$^((16\mathrm{.}78$T$\_($db$)-116\mathrm{.}9)/($T$\_($db$)+237\mathrm{.}3))$

Write a user$-$defined function for calculating RH for given T$\_($db$)$ and T$\_($wb$).$ For

the function name and arguments, use $\backslash$deg F$.$ The output argument RH is the relative humidity in

percent $($rounded to the nearest integer$).$ Inside the user$-$defined function

use a subfunction, or an anonymous function to convert the unit of the tem$-$

perature from Celsius to Fahrenheit. Use the function to determine the rela$-$

tive humidity for the following conditions:

$($a$)$ T$\_($db$)=75\backslash$deg F$,$T$\_($wb$)=69\backslash$deg F$.$

$($b$)$ T$\_($db$)=93\backslash$deg F$,$T$\_($wb$)=90\backslash$deg F$.$

Note: the subfunction should convert Fahrenheit to Celsius not Celsius to Fahrenheit.

Note that the exponential portion of the equation for $()/(($ V P $/))$ is the same as that for $()/(($ S V P $/))$ except values of $()/(($ T$\_($w b$)/))$ instead of $()/(($ T$\_($d b$)/))$ are substituted in$.$ Use a nested function to calculate $()/(($ S V P $/))$ and the exponential portion of $()/(($ V P $/).)$ Also, use a subfunction to convert your input temperatures from Fahrenheit to Celsius