We'll use 1 to identify the inlet and 2 to identify the outlet.
A1 = 10 cm2
A2 = 5 cm2
v2 = 8.0 m/s
A1v1 = A2v2
v1 = (A2v2)/A1 = (5 × 8.0)/10 = 4.0 m/s
Using the inlet as the reference point:
Water flows from the pipe shown in the figure with a speed of 8.0 m/s. (Figure 1)
What is the height h of the standing column of water? Express your answer to two significant figures and include the appropriate units.