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The Huka Falls on the Waikato River is one of New Zealand's most visited natural tourist attractions. On average the river has a flow rate of about 300,000 L/s. At the gorge, the river narrows to 18 m wide and averages 22 m deep.(a) What is the average speed (in m/s) of the river in the gorge?_______m/s.(b) What is the average speed (in m/s) of the water in the river downstream of the falls when it widens to 63 m and its depth increases to an average of 42 m________m/s.

Respuesta :

Answer

Given,

Flow rate of river is equal to 300,000 L/s.

Width of river = 18 m

and depth of river = 22 m

a) Average speed of river

     Q = 300,000 L/s

         = 300 m³/s

     Q = Av

     [tex]v = \dfrac{Q}{A}[/tex]

     [tex]v = \dfrac{300}{18 \times 22}[/tex]

     [tex]v = \dfrac{300}{396}[/tex]

     [tex]v = 0.757\ m/s[/tex]

b) Average speed when river is widen to 63 m and depth is increased to

     [tex]v = \dfrac{Q}{A}[/tex]

     [tex]v = \dfrac{300}{63 \times 42}[/tex]

     [tex]v = \dfrac{300}{2646}[/tex]

     [tex]v = 0.113\ m/s[/tex]

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