Question

A glass cylinder of height H has three small holes at distances H/4, H/2, and 3H/4, respectively, above its base. The cylinder is filled with water to its top and the water spurts from the holes.

(a) Determine the horizontal ranges (in the plane of the cylinder base) of water spurting from the holes in terms of H. (b) From which hole has the water stream the greatest range?

Answer 1

(a)Solution :

We know from Torricelli's theorem, that the range of the liquid falling from a certain height(h) is given by:

where H is the total height of glass cylinder.

so range for h= H/4 is ,

range for h = H/2 is,

range for h = 3H/4 is

(b) As we see in part( a ) hole at height H/2 has the greatest  range , R= H .

Thank You.