2.Consider a thermal system with input temperature of Ti and output temperature of To and Rt =10 -sec / J and C+= 0.1 J/9K, a. Determine the time constant of the system. RI b. Write the differential equation. c. For TI= 200 C and To (0) = 100 C, Find To (t) 7 a d. For TI= 200 sin (10t) C and To (0) = 100 C, Find To (t)

3. Consider a incompressible fluidic system of water with input flow rate of qi and output flow rate of qo and Rf = 20 sec / m? and Cf= 10 m? a. Determine the time constant of the system. b. Write the differential quation of the system. c. For qi = 300 m/sec and q. (0) = 100 m/sec, Find q. (t) d. For qi = 100 sin (20t) m/sec and q. (0) = 100 m%/sec, Find 9o (t)

4. Consider a compressible fluidic system of air with input pressure of Pi and output pressure of P. and R$ = 10 Pa-sec / Kg and C+= 10 Kg/ Pa a. Determine the time constant of the system. b. Write the differential equation of the P system. RO C c. For Pi = 0.3 kPa and Po (0) = 0.1 kPa, Find P. (t) d. For P, = 0.2 sin (30t) C and P. (0) = 0.1kPa, Find Po (t).