A liquid flowing from a vertical pipe has a definite shape as it flows from the pipe. To get the equation for this shape, assume that the liquid is in free fall once it leaves the pipe lust as it leaves the pipe, the liquid has speed Vo and the radius of the stream of liquid is r0-
(a) Find an equation for the speed of the liquid as a function of the distance y it has fallen. Combining this with the equation of continuity, find an expression for the radius of the stream as a function of y.
(b) If water flows out of a vertical pipe at a speed of 1.20 m/s, how far below the outlet will the radius is one-half the original radius of the stream?