14.35. Identify: Apply the equation of continuity, v1 Α1  v2 Α2 .
Set Up:
Execute:
A   r2
v2  v1 ( Α1/Α2 )
. Α1  π (0.80 cm) , Α2  20π(0.10 cm) .
2
2
v2  (3.0 m/s)
π (0.80) 2
 9.6 m/s
20π (0.10) 2
.
Evaluate: The total area of the shower head openings is less than the cross section area of the pipe,
and the speed of the water in the shower head opening is greater than its speed in the pipe.