Question

A firehose must be able to shoot water to the top of a building 28.0 m tall when aimed straight up. Water enters this hose at a steady rate of 0.500 m³/s and shoots out of a round nozzle. Neglect air resistance.

A) What is the maximum diameter this nozzle can have? Express your answer with the appropriate units.

B) If the only nozzle available has a diameter twice as great, what is the highest point the water can reach? Express your answer with the appropriate units.

Answer 1

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(a)

Rate of Volume of liquid flowing (V/t) = Area(A) * Velocity(v).

                                       

                                        

  

solving the above equation we get D = 0.1751 m

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(b)

If Diameter is doubled the maximum height reached by the water can be calculated using equation of continuity.

                             

         

               

                                 ∴h₂ = 1.375 m

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