UPDATE on 18/06/2020: I've implemented a simple analog clock in my own programming language, it's runnable on Linux (both 32-bit and 64-bit). You can download the source code here, and, if you are willing to accept the risk of infecting your computer with some virus on my computer (rather than compiling that program from source), you can download the executable here (the executable is called analogClock.elf).
UPDATE on 09/08/2020: I've managed to compile the Analog Clock program written in my programming language to be runnable in a browser that supports WebAssembly.
UPDATE on 09/05/2021: The Analog Clock program can now run natively on Windows and FreeDOS. The executable for Windows in the mentioned ZIP-archive is called analogClockForWindows.exe, and the executable for FreeDOS is called analogClockForDOS.exe.
UPDATE on 10/05/2021: Here is the trajectory of the simulated pendulum. Note that the angle the pendulum here oscillates at is 24^o, which means that the sinusoid is not a good approximation.