Time
Constant Problem
Problem
SysDyn1P06
You have a temperature sensor that has the following characteristics.
-
The sensor is linear -
i.e. the output voltage varies linearly with temperature.
-
The output voltage of
the sensor is 0 volts at 0oF.
-
The output voltage of
the sensor is 10 volts at 100oF.
-
The RC time constant is
twelve seconds.
Given that information,
do the following.
-
Write a mathematical expression
that describes what happens when the sensor is moved from an ice bath (32oF)
to an environment that is 72oF.
-
Determine the time when
the sensor indicates 50oF.