Aplanet orbits a star, in a year of length 4.34 x 10^7 s, in a nearly circular orbit of radius 1.42 x 10^11 m. with respect to the star, determine
(a) the angular speed of the planet,
(b) the tangential speed of the planet, and
(c) the magnitude of the planet's centripetal acceleration.

4r-134a enters the condenser of a residential heat pump at 800 kpa and 50°c at a rate of 0.022 kg/s and leaves at 750 kpa subcooled by 3°c. the refrigerant enters the compressor at 200 kpa superheated by 4°c determine (a) the isentropic efficiency of the compressor, (b) the rate of heat supplied to the heated room, and (c) the cop of the heat pump. also, determine (d) the cop and rate of heat supplied to the heated room if this heat pump operated on the ideal vapor-compression cycle between the pressure limits of 200 and 800 kpa. (0.757, 4.37 kw, 5.12, 6.18, 3.91 kw)