A faucet is left open. The diameter of the stream is 0.25d at the bottom and d a

Question

A faucet is left open. The diameter of the stream is 0.25d at the bottom and d at the top as it falls from the faucet. The explanation for this narrowing of the stream is

a) Atmospheric pressure is greater than the pressure within the stream of water.

b) The water has left the pipe that carried it and nolonger maintains the shape of the pipe.

c) The water accelerates as it falls and the cross-sectional area must decrease to maintain a constant flow rate.

d) The flow rate at the top of the stream is not sufficient to maintain a constant cross-sectional area.

Explanation / Answer

c) The water accelerates as it falls and the cross-sectional area must decrease to maintain a constant flow rate.

The same volume of water must pass through any cross-section of the stream in a given unit of time. If the water is moving twice as fast at some distance below the faucet, the stream must have half the area.

So 0.25d explain velocity of water four time at given height.

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