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

Question

The figure below shows a stream of water in a steady flow from a kitchen faucet. At the faucet the diameter of the stream is0.920cm. The stream fills a 125 cm3container in14.2s. Find the diameter of the stream 13.0 cm below the opening of the faucet.
cm

The figure below shows a stream of water in a steady flow from a kitchen faucet. At the faucet the diameter of the stream is0.920cm. The stream fills a 125 cm3container in14.2s. Find the diameter of the stream 13.0 cm below the opening of the faucet. CM

Explanation / Answer

let the diameter be d.so,

volume rate flow=125*10^-6/13.8

=9.058*10^-6 m^3/s

so,

(0.9)^2 * v = d^2*u

also,

(pi*(0.5*0.9*10^-2)^2)*v=9.058*10^-6

applying bernouli's theorem,

0.5*1000*v^2 +1000*9.8*0.13=0.5*1000*u^2

solving, we get d=0.2683 cm

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