Given the unity feedback system of Figure P11.1 with G(s)=K(s+20)(s+25)/s(s+6)(s+9)(s+14 )
do the following: [Section: 11.2]
a. Use frequency response methods to determine the value of gain, K, to yield a step response with a 15% overshoot. Make any required second- order approximations.
b. Use MATLAB or any other computer program to test your second-order approximation by simulating the system for your designed value of K.

Apump is used to circulate hot water in a home heating system. water enters the well-insulated pump operating at steady state at a rate of 0.42 gal/min. the inlet pressure and temperature are 14.7 lbf/in.2, and 180°f, respectively; at the exit the pressure is 60 lbf/in.2 the pump requires 1/15 hp of power input. water can be modeled as an incompressible substance with constant density of 60.58 lb/ft3 and constant specific heat of 1 btu/lb or. neglecting kinetic and potential energy effects, determine the temperature change, in °r, as the water flows through the pump.

Adouble-strand no. 60 roller chain is used to transmit power between a 13-tooth driving sprocket rotating at 300 rev/min and a 52-tooth driven sprocket. a) what is the allowable horsepower of this drive? b) estimate the center-to-center distance if the chain length is 82 pitches. c) estimate the torque and bending force on the driving shaft by the chain if the actual horsepower transmitted is 30 percent less than the corrected (allowable) power.

The higher the astm grain-size number, the coarser the grain is. a)-true b)-false