An instrument nozzle extending inside a pipe carrying superheated steam. The nozzle can be assumed clamped at the wall with the other end free. Considering the data below: 

OD 37.97mm, 

ID= 22.76mm, 

L= 368mm, 

Tube density= 7706 kg/m3,

Young’s Modulus= 1.73 × 1011P a, 

Damping ratio= 0.005, Steam properties- 

Density= 28.68kg/m3, Dynamic viscosity= 2.31 × 10−5Pa − s.

(a) Considering vortex shedding excitation, what is the range of external flow velocities that should be avoided? 

(b) Considering turbulence excitation, what is the rms response?