Question

A rectangular trough, 1.6 m long, 0.60 m wide, and 0.35 m deep, is completely full of water. One end of the trough has a small drain plug right at the bottom edge.
When you pull the plug, at what speed does water emerge from the hole?

Answer 1

Answer:

v = 2.61 m/s

Explanation:

Given that,

Length of a rectangular trough, l = 1.6 m

Breadth of a rectangular trough, b = 0.6 m

Depth of a rectangular trough, h = 0.35 m

We need to find the speed with which water emerge from the hole. It is a concept of efflux. The velocity of efflux is given by :

$v=\sqrt{2gh}\\\\v=\sqrt{2\times 9.8\times 0.35}\\\\v=2.61\ m/s$

So, water will emerge from the hole with a speed of 2.61 m/s.