Case Study: Toricelli's Law: Quiz
Problem 1
Suppose you measure the velocity of the water escaping from a cylindrical tank as described in the textbook in section 2.18. If the tank was full to begin with, and the velocity of the last drops of water to leave the tank is 5.7 meters per second, what is the height of the tank?
Answers, problem 1
Let g = 9.81m/s2
We know that the velocity of the drop is defined as (2*g*h)1/2, where h is the height of the tank. Therefore we can equate this expression to 5.7 meters per second and make h the subject. (2*g*h)1/2 = (2*9.81*h)1/2 = 5.7 => h =
1.658 meters, approximately