Full disclosure: I am no mathematician. The furthest I got in high school was Algebra 2.
One of my favorite movies is The Manhattan Project. I want to build a prop replica of the device is the movie. I even plan to build the circuitry with discrete logic instead of a microcontroller. In the film, the device malfunctions due to radiation and its timer circuit begins to count down from 999h:99m:99s. The countdown increases exponentially. I would like to know the time to zero starting from 999:99:99 and possibly graph the decay rate over time.
In the film, the formula "As y approaches infinity t = (1 + (1 over / n ))to the nth." Some google-fu leads me to info on Euler's number.
Could someone assist with the formula needed to find the decay rate and the formula needed to calculate time remaining based on input?
Thanks,
John