 #1
maxolina
 4
 0
 Homework Statement:
 A cylindrical open tank is filled with water, has a depth of 20 m and a hole at the bottom. The tank crosssectional area is Atank=10 m^2 and the hole's area is Ahole=3x10^3 m^2. Find the velocity of the fluid at the top surface.
 Relevant Equations:

EQ. OF CONTINUITY: A*V=constant
BERNOULLI: P+1/2*ro*v^2+ro*g*h=constant
TORRICELLI: V bottom = sqrt ( 2*g*h)
Solving with Torricelli I get Vt = 6x10^3 m/s
Solving with Bernoulli I get Vt = 6x10^4 m/s, a whole order of magnitude smaller.
How can it be correct? I know that Torricelli is an approximation, but the solution given by the book uses Torricelli which doesn't seem right to me.
Solving with Bernoulli I get Vt = 6x10^4 m/s, a whole order of magnitude smaller.
How can it be correct? I know that Torricelli is an approximation, but the solution given by the book uses Torricelli which doesn't seem right to me.