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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
23 Jan 2022

Given information

Given in the question that,

Diameter    

Hose delivering  

We need to determine the amount of force required to hold a decimeter hose.

Step-by-step explanation

Step 1.

 

Through the nozzle, water is being forced forward, causing the hose to move backward. Pushing the hose forward is the only way to keep it constant. Newton's second law and the equation of continuity are used to find the force exerted on the hose. According to the equation of continuity, the product of the velocity of water flow and its area at the nozzle is equal to the product of the velocity of water flow and its area at the hose.

  

 Cross sectional area of hose

  Velocity of water flow at nozzle

  Cross sectional area of nozzle

  Velocity of water at nozzle

Rearrange for ,
 
 
Rearrange to find  
 
 
 

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