Textbook ExpertVerified Tutor
28 Nov 2021
Given information
Explanation:
The mass conservation formula for an incompressible fluid is
.Where 
is the initial speed of the water and 
is the final speed of the water at the narrow end. 
and 
are the cross section and narrow end of the faucet, respectively. The speed increases and the cross section lowers as it falls from the faucet, using the continuity equation to maintain an equal flow rate at both ends. To maintain the flow rate, the stream's cross section must decrease as its speed increases as it descends. As a result, the cross section of the stream narrows.
is the initial speed of the water and is the final speed of the water at the narrow end. and are the cross section and narrow end of the faucet, respectively. The speed increases and the cross section lowers as it falls from the faucet, using the continuity equation to maintain an equal flow rate at both ends. To maintain the flow rate, the stream's cross section must decrease as its speed increases as it descends. As a result, the cross section of the stream narrows.Step-by-step explanation
Step 1.
Water is both adhesive and cohesive:
It is adhesive to the container (in this case a faucet) from which it comes. Therefore, when water is leaving a faucet, it will be interacting not only with other molecules, but with the rim of the container from which it is being poured. This creates a broader stream of water as it leaves.
Unlock all Textbook Solutions
Already have an account? Log in
Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922