Construct the Bode magnitude and phase plots on the semi-log charts for the following two transfer functions.
(a) H(ω) = jω/ω₀, ω₀ = 10⁴ rad/s.
(b) H(ω) = 1 + jω/ω, ω = 4 x 10³ rad/s.
(c) H(ω) = 1/(1 + jω/ω), ω= 2 x 10³ rad/s.
(d) H(W) = jω/jω₁/(1+ jω/jω₂), ω₁= 10⁴ rad/s, and ω₂= 2 x 10³ rad/s.

Aflywheel accelerates for 5 seconds at 2 rad/s2 from a speed of 20 rpm. determine the total number of revolutions of the flywheel during the period of its acceleration. a.5.65 b.8.43 c. 723 d.6.86

Assuming compressible flow of air and that the measurements are done at flagstaff a pitot static tube that gives the difference of total and static pressure measures 0.35 m of mercury. what is the velocity of air? assume the temperature to be 300k. (submit your excel or matlab calculation sheet)

Awall of 0.5m thickness is to be constructed from a material which has average thermal conductivity of 1.4 w/mk. the wall is to be insulated with a material having an average thermal conductivity of 0.35 w/mk so that heat loss per square meter shall not exceed 1450 w. assume inner wall surface temperature of 1200°c and outer surface temperature of the insulation to be 15°c. calculate the thickness of insulation required.