Consider a very small hole in the bottom of a tank 20.0 cm in diameter filled with water to a height of 50.0 cm. Find the speed at which the water exits the tank through the hole.
A) 3.13 m/s
B) 9.80 m/s
C) 31.8 m/s
D) 34.9 m/s

Question

Quizplus · Accepted Answer

The speed of water exiting the tank can be found using Torricelli's theorem, which states that the speed v is given by v = sqrt(2gh), where g is the acceleration due to gravity (9.81 m/s²) and h is the height of the water column (0.50 m). Substituting these values gives v = sqrt(2 * 9.81 * 0.50) = 3.13 m/s.

Consider a Very Small Hole in the Bottom of a Tank