Answer:
v = 12.4 [m/s]
Explanation:
With the speed and Area information, we can determine the volumetric flow.
[tex]V=v*A\\A=\pi *r^{2}[/tex]
where:
r = radius = 0.0120 [m]
v = 2.88 [m/s]
[tex]A=\pi *(0.0120)^{2} \\A=4.523*10^{-4} [m]\\[/tex]
Therefore the flow is:
[tex]V=2.88*4.523*10^{-4} \\V=1.302*10^{-3} [m^{3}/s ][/tex]
Despite the fact that you cover the inlet with the finger, the volumetric flow rate is the same.
[tex]v=V/A\\v=1.302*10^{-3} /1.05*10^{-4} \\v=12.4[m/s][/tex]
