A shaft of 80mm diameter transmits power at maximum shear stress of 63MPa. Find the length of a 20mm wide key required to mount a pulley on the shaft so that the stress in the key does not exceed 42MPa.​

For each of the following process: a) sketch the p-v diagram, b)sketch t-s diagram, c) sketch t-v diagram, d) sketch the boundary work on one of the diagrams (a, b or c) and e) sketch the reversible heat transfer on one of the diagrams (a, b or c): 1- isobaric process from compressed liquid to superheated vapor 2- isothermal process from compressed liquid to superheated vapor 3- isentropic process from compressed liquid to superheated vapor