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.
