How could I express the speed of an object as a function of time if the object is accelerating with a constant power output and is being affected by quadratic (Rayleigh) drag?
And in general the thurst will not be constant for constant power input, but depend on the speed.Since it is a submarine, the power produced by the propulsion machinery is converted into thrust, either by turning a propeller or by means more exotic.
And in general the thurst will not be constant for constant power input, but depend on the speed.
You won't get an analytic solution for this. The thrust itself is not some simple function but usually derived empirically or numerically. You have a chart like this:And that's the point where I got stuck. I found an equation that works if the thrust is constant but that is not the case here.