A signal expected to be of the form F(t)= 10 sin 15.7t is to be measured with a first-order instrument having a time constant of 50 ms. Write the expected indicated steady response output sig- nal. Is this instrument a good choice for this mea- surement? What is the expected time lag between input and output signal? Plot the output amplitude spectrum. Use y(0) = 0 and K = 1 V/V

Consider a 1.2 meter high and 2 meter wide glass window whose thickness is 6 mm and thermal conductivity is 0.78 w/m °c. the room temperature is maintained at 24 °c, while the outdoor temperature is -5 °c. the convective heat transfer coefficients on the inner and outer surfaces of the window are 10 w/m2 °c and 25 w/m2 °c respectively. (a) draw the thermal resistance network, etermine the steady rate of heat transfer t e glass window (c) determine the temperature of the inner surface of the window