Along, hemicylindrical (1-m radius) shaped furnace used to heat treat sheet metal products is comprised of three zones.

the heating zone (1) is constructed from a ceramic plate of emissivity 0.85 and is operated at 1600 k by gas burners.

the load zone (2) consists of sheet metal products.

the refractory zone (3) is fabricated from insulating bricks having an emissivity of 0.6.

assuming steady-state conditions, diffuse, gray surfaces, and negligible convection, determine the temperature of the insulating brick surface. submit your answer in k (enter numerical value only without units).

If a particle moves along a path such that r : (3 sin t) m and ? : 2t rad, where t is in seconds. what is the particle's acceleration in m/s in 4 seconds? a)- 16.43 b)- 16.29 c)- 15.21 d)- 13.79

Hydraulic fluid with a sg. of 0.78 is flowing through a 1.5 in. i.d. pipe at 58 gal/min. the fluid has an absolute viscosity of 11.8 x 105 lbf-sec/ft2. is the flow laminar, turbulent or within the critical range? give both a numerical reynolds number and a term answer.

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)?