The main problems I deal with in my job are mathematical, to do with how you can express a physical problem mathematically and get a correct answer. Often the problem is deciding how precise to be: the more precise you are the better your solution should be, but it takes longer to get an answer. The question is how to spend as little time as possible to get an answer that is accurate enough.
when I was working on the rover models, I had to do a lot of work on the rotation of the different parts of the rover, using quaternions. It was very technical but interesting.
One of my enduring problems that I have been working on for the last 8 years is “How do you measure the vibration in a turbine blade when it is at 800 degrees C and rotating at 300,000rpm?” That’s not untypical of the sort of thing I get involved in
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