(a) Estimate the time it would take to fill a private swimming pool with a capacity of 80,000 L using a garden hose delivering 60 L/min. (b) How long would it take to fill if you could divert a moderate size river, flowing at 5000 m3/s, into it?
Final Answer
22 h
0.016 s

Respuesta :

Answer:

a. Time to fill the swimming pool is 22,22 h.

b. Time to fill the swimming pool is 0,016 h.

Explanation:

a.

V=80,000L

Speed=60L/min

Converting minutes into hours:

[tex]Speed=60 \frac{L}{min} \frac{60 min}{1h}=3600 \frac{L}{h}[/tex]

[tex]Time=\frac{Capacity}{Speed} \\Time=\frac{80,000 L}{3600 L/h} \\Time= 22,22 h[/tex]

Time to fill the swimming pool is 22,22 h.

b.

River speed= 5000m3/s

Converting [tex]m^{3} /sec[/tex] into [tex]L/sec[/tex]

[tex]5000\frac{m^{3} }{sec}.\frac{1000 L}{1 m^{3} }= 5000000\frac{L}{sec}[/tex]

[tex]Time=\frac{Capacity}{Speed} \\Time=\frac{80,000 L}{5000000 L/sec} \\Time= 0,016 sec[/tex]

Time to fill the swimming pool is 0,016 sec.