Answer to Question #347157 in Mechanics | Relativity for Jane

Question #347157

7. Water runs into a fountain, filling all the pipes, at a steady rate of 0.750 m³/s. (a) How fast will it shoot out of a hole 4.50 cm in diameter? (b) At what speed will it shoot out if the



diameter of the hole is three times as large?

1
Expert's answer
2022-06-13T08:24:08-0400

V˙=vS=πvd24,    \dot V=vS=\frac{\pi vd^2}4,\implies

v=4V˙πd2=472 ms,v=\frac{4\dot V}{\pi d^2}=472~\frac ms,

v1=v9=52 ms.v_1=\frac v9=52~\frac ms.


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