The water level in a reservoir is maintained at a constant level. What is the exit velocity in an outlet pipe 3.0 m below the water surface?
A) 2.4 m/s
B) 3.0 m/s
C) 5.4 m/s
D) 7.7 m/s
E) 49 m/s

Question

Quizplus · Accepted Answer

The exit velocity can be found using Torricelli's theorem, which states that the speed of efflux of a fluid under gravity through an orifice is given by $ v = \sqrt{2gh} $. Here, $ g = 9.8 \, \text{m/s}^2 $ and $ h = 3.0 \, \text{m} $. Thus, $ v = \sqrt{2 \times 9.8 \times 3.0} = \sqrt{58.8} \approx 7.7 \, \text{m/s} $.

The Water Level in a Reservoir Is Maintained at a Constant