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The resistance created by waves on a 120-m-long ship is tested in a channel using a model that is 4 m long Y Part A If the ship travels at 70 km/h. what should be the speed of the model?

Respuesta :

Answer:

[tex]V_m = 12.78 km/hr[/tex]

Explanation:

given,

length of the ship = 120 m

length of model of the ship = 4 m

Speed at which the ship travels = 70 km/h

speed of model = ?

by using froude's law

  [tex]F_r = \dfrac{V}{\sqrt{L g}}[/tex]

for dynamic similarities

  [tex](\dfrac{V}{\sqrt{L g}})_P = (\dfrac{V}{\sqrt{L g}})_{model}[/tex]

  [tex](\dfrac{V_p}{\sqrt{L_p}}) = (\dfrac{V_m}{\sqrt{L_m}})[/tex]

  [tex](\dfrac{70}{\sqrt{120}}) = (\dfrac{V_m}{\sqrt{4}})[/tex]

          [tex]V_m = 12.78 km/hr[/tex]

hence, the velocity of model will be 12.78 km/h

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