Question

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:

Answer 1

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.