The figure below shows a stream of water in steady flow from a kitchen faucet. A

Question

The figure below shows a stream of water in steady flow from a kitchen faucet. At the faucet, the diameter of the stream is 0.940 cm. The stream fills a 125-cm3 container in 16.3 s. Find the diameter of the stream 13.0 cm below the opening of the faucet.

The answer should be in centimeters.

The figure below shows a stream of water in steady flow from a kitchen faucet. At the faucet, the diameter of the stream is 0.940 cm. The stream fills a 125-cm3 container in 16.3 s. Find the diameter of the stream 13.0 cm below the opening of the faucet. The answer should be in centimeters.

Explanation / Answer

we know that

dV/dt = A x v

or dV/dt = pi x d^2/4 x v

or v = 4dV/dt x (1/pi x d^2)

where v is speed of water,dV/dt = (125 x 10^-6/16.3) m^3/s and d = 0.940 cm = 0.940 x 10^-2 m

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