Question

1.  A 4ft high, 3 ft diameter cylindrical water tank whose top is open to the atmosphere is initially filled with water. Now the discharge plug near the bottom of the tank is pulled out, and a water jet whose diameter is 0.5 in streams out. The average velocity of the jet is approximated as v= , where h is the height of wave in the tank measured from the center of the hole (a variable) and g is the gravitational acceleration. Estimate the time taken for the water level in the tank to drop to 2 ft from the bottom. And if the jet diameter increased to 0.6 in, then compare the time taken to drop same water level in tank.