The displacement of a robot arm in a given direction is represented by a voltage signal vin(t). The voltage is proportional to displacement, and 1 V corresponds to a displacement of 10 mm from the reference position. Required:
a. Design a circuit that produces a voltage v1(t) that is proportional to the velocity of the robot arm such that 1 m/s corresponds to 1 V.
b. Design an additional circuit that produces a voltage v2(t) that is proportional to the acceleration of the robot arm such that 1 m/s2 corresponds to 1 V.

Liquid flows at steady state at a rate of 2 lb/'s through a pump, which operates to raise the elevation of the liquid 100 ft from control volume inlet to exit. the liquid specific enthalpy at the inlet is 40.09 btu/lb and at the exit is 40.94 btub. the pump requires 3 btu/s of power to operate. if kinetic energy effects are negligible and gravitational acceleration is 32.174 tt/s, the heat transfer rate associated with this steady state process is most closely 1)-2,02 btu/s from the liquid to the surroundings 2)-3.98 btu/s from the surroundings to the liquid. 3)-4.96 btu/s from the surroundings to the liquid. 4)-1.04 btu/s from the liquid to the surroundings.