A circular rotating shaft is subjected to a static bending moment M and a torque that varies from a value of zero to T. Apply the energy of distortion theory together with soderberg's relation to obtain the following expression for the required shaft radius: r=[T/(pi*sigma cr)*((sigma cr/ sigma yp)*(16(M/T)^2+3)^.5+(3)^.5)]^1/3

Refrigerant-134a enters the compressor of a refrigerator as superheated vapor at 0.14 mpa and -10°c at a rate of 0.05 ka/s and leaves at 0.8 mpa and 50°c. the refrigerant is cooied in the condenser to 0.72 mpa and 26'c. it is then throttled to 0.15 mpa. sketch the t-s diagram for the system and evaluate: 6) the rate of heat removai from the refrigerated space (kw), it) the power input to the compressor (kw), ii) the isentropic efficiency of the compressor (%), and iv) the cop of the refrigerator.