The most likely cause is the battery . With a poor or undercharged 6 volt battery, the voltage can drop as more power is drawn from it. When that happens the power cuts off, the voltage rises and it starts again, then the cycle keeps repeating.
To check, put a volt meter on the battery whilst running it in the bath, or substitute a different battery, ideally a 7.2 volt one.
One more thing, I assume the prop isn't too big, a larger prop will demand more power from the battery than a smaller one, I would normally use a p35 prop with that set up. My own springer uses a similar set up, but a 7.2 volt pack, and draws about 4 amps.