Water is flowing in a horizontal pipe of diameter d. If you want to change the diameter of this pipe so that the speed of the water would be half as great as it was, what should be the new diameter?

Respuesta :

Answer:

√2 d

Explanation:

[tex]d_{i}[/tex] = initial diameter of horizontal pipe = d

[tex]d_{f}[/tex] = final diameter of horizontal pipe

[tex]v_{i}[/tex] = initial speed of water = v

[tex]v_{f}[/tex] = final speed of water = (0.5) v

Using equation of continuity

[tex]d_{i}^{2} v_{i} = d_{f}^{2} v_{f}[/tex]

[tex]d^{2} v = d_{f}^{2} (0.5) v[/tex]

[tex]d^{2} = d_{f}^{2} (0.5) [/tex]

[tex]d_{f}[/tex] = √2 d