11241 - Humidex

Difficulty : trivial

Solution Description :

Simple math problem

For calculate humidex use the given rule in question
e = 6.11 * exp [5417.7530 * ((1/273.16) - (1/(dewpoint+273.16)))]
h = (0.5555)*(e - 10.0)
humidex = temperature + h 

For calculate temperature
e = 6.11 * exp [5417.7530 * ((1/273.16) - (1/(dewpoint+273.16)))]
h = (0.5555)*(e - 10.0)
temperature = humidex - h

For calculate dewpoint you need to some calculation this is the work of this this problem
h = humidex - temperature
e = h/0.5555 + 10.0

e = 6.11 * exp [5417.7530 * ((1/273.16) - (1/(dewpoint+273.16)))] ----------- (i)
use log both side of equation (i) then
=>log(e) = log (6.11 * exp [5417.7530 * ((1/273.16) - (1/(dewpoint+273.16)))])
=>log(e) = log(6.11) + log(exp [5417.7530 * ((1/273.16) - (1/(dewpoint+273.16)))])
=>log(e) = log(6.11) +  [5417.7530 * ((1/273.16) - (1/(dewpoint+273.16)))] ----------- (ii)
from equation (ii) you can easily calculate the dewpoint 
Here log is a natural logarithm