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While looking into the better indicator of how miserable it feels outside, either dew point or relative humidity, I came across this statement:

The optimum combination for human comfort is a dewpoint of about 60 F60°F and a RH of between 50 and 70% (this would put the temperature at about 75 F75°F).

Source: http://www.theweatherprediction.com/habyhints/190/

This led me to this calculator that will calculate the temperature given relative humidity and dew point - for example a dew point of 70 degrees F70°F and a relative humidity of 90% results in a temperature of 73.11 degrees F11°F. The web site for this calculator says the values are based on the August-Roche-Magnus approximation and gives the following equation to calculate temperature:

$T =243.04 \Large \frac{\frac{17.625\ TD}{243.04+TD}-\ln\left(\frac{RH}{100}\right)}{17.625+\ln\left(\frac{RH}{100}\right)- \frac{17.625\ TD}{243.04+TD}}$

Given the equation, I'm still having a hard time figuring out how the temperature is being calculated. Can somebody please explain how the temperature is being calculated in simple terms?

While looking into the better indicator of how miserable it feels outside, either dew point or relative humidity, I came across this statement:

The optimum combination for human comfort is a dewpoint of about 60 F and a RH of between 50 and 70% (this would put the temperature at about 75 F).

Source: http://www.theweatherprediction.com/habyhints/190/

This led me to this calculator that will calculate the temperature given relative humidity and dew point - for example a dew point of 70 degrees F and a relative humidity of 90% results in a temperature of 73.11 degrees F. The web site for this calculator says the values are based on the August-Roche-Magnus approximation and gives the following equation to calculate temperature:

$T =243.04 \Large \frac{\frac{17.625\ TD}{243.04+TD}-\ln\left(\frac{RH}{100}\right)}{17.625+\ln\left(\frac{RH}{100}\right)- \frac{17.625\ TD}{243.04+TD}}$

Given the equation I'm still having a hard time figuring out how the temperature is being calculated. Can somebody please explain how temperature is being calculated in simple terms?

While looking into the better indicator of how miserable it feels outside, either dew point or relative humidity, I came across this statement:

The optimum combination for human comfort is a dewpoint of about 60°F and a RH of between 50 and 70% (this would put the temperature at about 75°F).

Source: http://www.theweatherprediction.com/habyhints/190/

This led me to this calculator that will calculate the temperature given relative humidity and dew point - for example a dew point of 70°F and a relative humidity of 90% results in a temperature of 73.11°F. The web site for this calculator says the values are based on the August-Roche-Magnus approximation and gives the following equation to calculate temperature:

$T =243.04 \Large \frac{\frac{17.625\ TD}{243.04+TD}-\ln\left(\frac{RH}{100}\right)}{17.625+\ln\left(\frac{RH}{100}\right)- \frac{17.625\ TD}{243.04+TD}}$

Given the equation, I'm still having a hard time figuring out how the temperature is being calculated. Can somebody please explain how the temperature is being calculated in simple terms?

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Camilo Rada
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While looking into the better indicator of how miserable it feels outside, either dew point or relative humidity, I came across this statement:

The optimum combination for human comfort is a dewpoint of about 60 F and a RH of between 50 and 70% (this would put the temperature at about 75 F).

Source: http://www.theweatherprediction.com/habyhints/190/

This led me to this calculator that will calculate the temperature given relative humidity and dew point - for example a dew point of 70 degrees F and a relative humidity of 90% results in a temperature of 73.11 degrees F. The web site for this calculator says the values are based on the August-Roche-Magnus approximation and gives the following equation to calculate temperature:

$T =243.04 \frac{\frac{17.625\ TD}{243.04+TD}-\ln\left(\frac{RH}{100}\right)}{17.625+\ln\left(\frac{RH}{100}\right)- \frac{17.625\ TD}{243.04+TD}}$$T =243.04 \Large \frac{\frac{17.625\ TD}{243.04+TD}-\ln\left(\frac{RH}{100}\right)}{17.625+\ln\left(\frac{RH}{100}\right)- \frac{17.625\ TD}{243.04+TD}}$

Given the equation I'm still having a hard time figuring out how the temperature is being calculated. Can somebody please explain how temperature is being calculated in simple terms?

While looking into the better indicator of how miserable it feels outside, either dew point or relative humidity, I came across this statement:

The optimum combination for human comfort is a dewpoint of about 60 F and a RH of between 50 and 70% (this would put the temperature at about 75 F).

Source: http://www.theweatherprediction.com/habyhints/190/

This led me to this calculator that will calculate the temperature given relative humidity and dew point - for example a dew point of 70 degrees F and a relative humidity of 90% results in a temperature of 73.11 degrees F. The web site for this calculator says the values are based on the August-Roche-Magnus approximation and gives the following equation to calculate temperature:

$T =243.04 \frac{\frac{17.625\ TD}{243.04+TD}-\ln\left(\frac{RH}{100}\right)}{17.625+\ln\left(\frac{RH}{100}\right)- \frac{17.625\ TD}{243.04+TD}}$

Given the equation I'm still having a hard time figuring out how the temperature is being calculated. Can somebody please explain how temperature is being calculated in simple terms?

While looking into the better indicator of how miserable it feels outside, either dew point or relative humidity, I came across this statement:

The optimum combination for human comfort is a dewpoint of about 60 F and a RH of between 50 and 70% (this would put the temperature at about 75 F).

Source: http://www.theweatherprediction.com/habyhints/190/

This led me to this calculator that will calculate the temperature given relative humidity and dew point - for example a dew point of 70 degrees F and a relative humidity of 90% results in a temperature of 73.11 degrees F. The web site for this calculator says the values are based on the August-Roche-Magnus approximation and gives the following equation to calculate temperature:

$T =243.04 \Large \frac{\frac{17.625\ TD}{243.04+TD}-\ln\left(\frac{RH}{100}\right)}{17.625+\ln\left(\frac{RH}{100}\right)- \frac{17.625\ TD}{243.04+TD}}$

Given the equation I'm still having a hard time figuring out how the temperature is being calculated. Can somebody please explain how temperature is being calculated in simple terms?

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user11318
user11318

While looking into the better indicator of how miserable it feels outside, either dew point or relative humidity, I came across this statement:

The optimum combination for human comfort is a dewpoint of about 60 F and a RH of between 50 and 70% (this would put the temperature at about 75 F).

Source: http://www.theweatherprediction.com/habyhints/190/

This led me to this calculator that will calculate the temperature given relative humidity and dew point - for example a dew point of 70 degrees F and a relative humidity of 90% results in a temperature of 73.11 degrees F. The web site for this calculator says the values are based on the August-Roche-Magnus approximation and gives the following equation to calculate temperature:

T: =243.04*(((17.625TD)/(243.04+TD))-LN(RH/100))/(17.625+LN(RH/100)-((17.625TD)/(243.04+TD)))

Or, in a more readable format:

$T =243.04 \frac{\frac{17.625\ TD}{243.04+TD}-\ln\left(\frac{RH}{100}\right)}{17.625+\ln\left(\frac{RH}{100}\right)- \frac{17.625\ TD}{243.04+TD}}$

Given the equation I'm still having a hard time figuring out how the temperature is being calculated. Can somebody please explain how temperature is being calculated in simple terms?

While looking into the better indicator of how miserable it feels outside, either dew point or relative humidity, I came across this statement:

The optimum combination for human comfort is a dewpoint of about 60 F and a RH of between 50 and 70% (this would put the temperature at about 75 F).

Source: http://www.theweatherprediction.com/habyhints/190/

This led me to this calculator that will calculate the temperature given relative humidity and dew point - for example a dew point of 70 degrees F and a relative humidity of 90% results in a temperature of 73.11 degrees F. The web site for this calculator says the values are based on the August-Roche-Magnus approximation and gives the following equation to calculate temperature:

T: =243.04*(((17.625TD)/(243.04+TD))-LN(RH/100))/(17.625+LN(RH/100)-((17.625TD)/(243.04+TD)))

Or, in a more readable format:

$T =243.04 \frac{\frac{17.625\ TD}{243.04+TD}-\ln\left(\frac{RH}{100}\right)}{17.625+\ln\left(\frac{RH}{100}\right)- \frac{17.625\ TD}{243.04+TD}}$

Given the equation I'm still having a hard time figuring out how the temperature is being calculated. Can somebody please explain how temperature is being calculated in simple terms?

While looking into the better indicator of how miserable it feels outside, either dew point or relative humidity, I came across this statement:

The optimum combination for human comfort is a dewpoint of about 60 F and a RH of between 50 and 70% (this would put the temperature at about 75 F).

Source: http://www.theweatherprediction.com/habyhints/190/

This led me to this calculator that will calculate the temperature given relative humidity and dew point - for example a dew point of 70 degrees F and a relative humidity of 90% results in a temperature of 73.11 degrees F. The web site for this calculator says the values are based on the August-Roche-Magnus approximation and gives the following equation to calculate temperature:

$T =243.04 \frac{\frac{17.625\ TD}{243.04+TD}-\ln\left(\frac{RH}{100}\right)}{17.625+\ln\left(\frac{RH}{100}\right)- \frac{17.625\ TD}{243.04+TD}}$

Given the equation I'm still having a hard time figuring out how the temperature is being calculated. Can somebody please explain how temperature is being calculated in simple terms?

Added a latex version of the equation for readability
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Camilo Rada
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