The model for the steering dynamics of a ship is given by vo 6,(s) -(/0.142) r(s/0.325+1)(s/0.0362 +1) g)- where v is the ship's lateral velocity in meters per second and & is the rudder angle in radians eind:

(a) g(ja) for k-0.2 using the matlab bode command
(b) gain crossover frequency and pm, phase crossover frequency and gm on the bode plot.
(c) is the ship steering system stable with k-0.2
(d) value of k for pm-30 and the corresponding gain crossover frequency

The filament of an incandescent lamp has a temperature of 2000k. calculate the fraction of radiation emitted in the visible light band if the filament is approximated as blackbody

At steady state, air at 200 kpa, 325 k, and mass flow rate of 0.5 kg/s enters an insulated duct having differing inlet and exit cross-sectional areas. the inlet cross-sectional area is 6 cm2. at the duct exit, the pressure of the air is 100 kpa and the velocity is 250 m/s. neglecting potential energy effects and modeling air as an 1.008 kj/kg k, determine ideal gas with constant cp = (a) the velocity of the air at the inlet, in m/s. (b) the temperature of the air at the exit, in k. (c) the exit cross-sectional area, in cm2

Air enters a horizontal, constant-diameter heating duct operating at steady state at 290 k, 1 bar, with a volumetric flow rate of 0.25 m°/s, and exits at 325 k, 0.95 bar. the flow area is 0.04 m2. assuming the ideal gas model with k = 1.4 for the air, determine (a) the velocity at the inlet and exit, each in m/s, and (c) the rate of heat transfer, in kw flow rate, in kg/s, (b) the mass kg 0.3