Consider a very small hole in the bottom of a tank that is $17.0 \mathrm {~cm}$ in diameter and filled with water to a height of $90.0 \mathrm {~cm} .$ Find the speed at which the water exits the tank through the hole.
A)4.20 m/s
B)17.64 m/s
C)44.1 m/s
D)48.3 m/s

Question

Quizplus · Accepted Answer

The speed of water exiting the tank can be found using Torricelli's law: $ v = \sqrt{2gh} $, where $ g = 9.8 \, \text{m/s}^2 $ and $ h = 0.9 \, \text{m} $. Calculating gives $ v = \sqrt{2 \times 9.8 \times 0.9} \approx 4.20 \, \text{m/s} $.

Consider a Very Small Hole in the Bottom of a Tank