Whirlpool super capacity Model WT47-201 will fill with water and agitate however it does not move from one cycle to the next. I have to move the dial manually to get it to move from washing to drain

hum either a bad timer sticking the point contacts close. have u tried this in all cycles? and possibly a motor with bad windings not enough power to run agitation? try running in mild or gentle and see what happens? I was tempted to say the cam dogs in agitator but they dont work then stop then work, when they go out they go out.

So when the cycle first starts, it will fill and agitate and spin. But then on the rinse cycle it stops?

you most probably have either a bad brake/clutch mechanism or a bad transmission.  

My whirlpool heavy duty 2 speed 7 cycle washer machine stopped working, It fills up and aggitates for the first cycle then when it should drain and spin it doesnt drain nor spin

Hello there:
When the cycle doesn't advance, or it takes a very long time to complete a cycle.
!st, check the timer to see if it is working properly
if not replace it '
next make sure that you are getting cold water and it is getting adequate pressure.: here is how to check the timer .
if your washing machine fills with water and begins agitating, but the timer never advances--or if the washer is in a spin cycle and the timer won't advance. Then you need to replace the timer. It may be a cold-water supply problem, if the washing machine fills with water, agitates, drains, and spins, but then doesn't fill with rinse water. See There's no cold water.
Ok?
Hope this is very helpful for you
Best regards Michael

Do you hear the ticking of the dial moving? if so it could be that the points aren't getting connection to cycle it threw the various cycles

Sounds like what you are describing is the timer on the dial is not activating the next cycle. Timers are usually the problem when the cycles do not complete there cycle

It sounds like a bad timer unit, and possibly a lid switch.

As far as the water overfilling, that may be an unrelated problem, such as the water level switch... but most likely the timer.

I have the same model, and it wouldn't drain.. and it would try to spin when full of water... an interesting sight to see!