Awinding drum raises a cage of mass 800 kg though a height 100 m. the winding drum has a mass of 200 kg and an effective radius of 0.5 m and a radius of gyration of 0.3 m. the rope has a mass of 0.9 kg/m. the cage has an initial acceleration of 2 m/s? until a velocity of 13 m/s is reached, after which the velocity is constant until the cage nears the top. calculate: a)- the torque required at the start of the acceleration; b)- the torque required just after the end of the acceleration period; c)- the power at just after the end of the acceleration period.

Which of the following ziegler nichols tuning methods the response of the controller to a step input should exhibit an s-shaped curve? a)-open loop mode b)-closed loop mode c)-both modes (open & closed) d)-none of the modes (open & closed)

Estimate the change in specific internal energy au and specific enthalpy h from inlet to outlet for ethylene glycol (a liquid) flowing through each of the following devices: (a) a heat exchanger where the glycol temperature increases from 20 °c to 80 °c; (b) a pump operating at about 25 °c and increasing the glycol pressure from 100 kpa to 8 mpa.

An external consultant recommends that a plant installs a bank of capacitors for power factor correction. this will reduce the peak electrical demand charges by an average of 93 kw every month. the plant current pays $13 per kw in peak demand charges. the capacitor bank will include 223 kw of fixed capacitors, and 183 of variable capacitors. the fixed capacitors cost $59 per kw, and the variable capacitors will cost $65 per kw. the consultant charges 21% of the equipment costs to install the capacitors. because this project will reduce the demand for the electric utility, they are prepared to provide a one-time rebate of $42 per kw of reduced demand. what is the simple payback period for this project (in years)?