Step 1: Understanding Reynolds Number for Agitators
Reynolds number for agitators depends on the properties of the fluid and the agitator’s rotational speed.
Step 2: Conclusion
For agitators, Reynolds number is calculated as: \[ Re = \frac{\rho n D^2}{\mu} \] This matches option (D).
A closed-loop system has the characteristic equation given by: $ s^3 + k s^2 + (k+2) s + 3 = 0 $.
For the system to be stable, the value of $ k $ is:
A digital filter with impulse response $ h[n] = 2^n u[n] $ will have a transfer function with a region of convergence.