Water flows through a 1-cm diameter pipe connected to a 1/2-cm diameter pipe. compared to the speed of the water in the 1-cm pipe, the speed in the 1/2-cm pipe is:

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07-11-2017
Physics

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Water flows through a 1-cm diameter pipe connected to a 1/2-cm diameter pipe. compared to the speed of the water in the 1-cm pipe, the speed in the 1/2-cm pipe is:

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W0lf93 W0lf93 · Answer 1 · 2017-11-18T12:47:19+01:00

W0lf93 W0lf93

18-11-2017

The speed of water in pipe is given by: V=0.408(Q/D^2) V=speed Q=flow rate D=diameter of pipe Hence, the speed of the water is inversely proportional to square of diameter If the speed of water through 1-cm diameter is V Then, speed of water through 0.5 cm diameter is =V/[(1/2)^2)] =V/(1/4) =4V Hence, compared to the speed of water in 1 cm pipe, the speed in the 1/2 cm pipe is four times.

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