A hole is poked through the metal side of a drum holding water.The hole is 16.0 cm below the water surface.What is the initial speed of outflow?
A)1.77 m/s
B)17.7 m/s
C)0.566 m/s
D)3.14 m/s
E)1.25 m/s

Question

Quizplus · Accepted Answer

The initial speed of outflow can be calculated using Torricelli's law, which states that the speed $v$ of fluid flowing out of a hole at depth $h$ below the surface of the liquid is given by $v = \sqrt{2gh}$, where $g$ is the acceleration due to gravity (approximately $9.8 \, \text{m/s}^2$). Plugging in the given depth $h = 16.0 \, \text{cm} = 0.16 \, \text{m}$, we get $v = \sqrt{2 \times 9.8 \, \text{m/s}^2 \times 0.16 \, \text{m}} \approx 1.77 \, \text{m/s}$.

A Hole Is Poked Through the Metal Side of a Drum