Given the extended darcy-weisbach eq. for an open channel g v r l h f h l major 4 2 2 , = where f – friction factor, l – pipe length, rh – hydraulic radius, g – gravity, v—average cross section velocity. derive chezy eq. as follow q = ca rh s and determine c. in the equation, q is flow rate, and s is the channel bottom slope. you will score only if you do the derivation step by step, correctly in logic, and clearly state your assumption, if any (10 pts).

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

Air is to be cooled in the evaporator section of a refrigerator by passing it over a bank of 0.8-cm-outer-diameter and 0.4-m-long tubes inside which the refrigerant is evaporating at -20°c. air approaches the tube bank in the normal direction at 0°c and 1 atm with a mean velocity of 4 m/s. the tubes are arranged in-line with longitudinal and transverse pitches of sl- st 1.5 cm. there are 30 rows in the flow direction with 15 tubes in each row. determine (a) the refrigeration capacity of this system and (b) pressure drop across the tube bank. evaluate the air properties at an assumed mean temperature of -5°c and 1 atm. is this a good assumption?

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