The drive propeller of a ship starts from rest and accelerates at 2.01 x 10-3 rad/s2 for 2.40 x 103 s. For the next 1.20 x 103 s the propeller rotates at a constant angular speed. Then it decelerates at 2.28 x 10-3 rad/s2 until it slows (without reversing direction) to an angular speed of 2.25 rad/s. Find the total angular displacement of the propeller.

An ideal otto cycle has a compression ratio of 8. at the beginning of the compression process, air is at 95 kpa and 27°c, and 750 kj/kg of heat is transferred to air during the constant-volume heat-addition process. assuming constant specific heats at room temperature, determine (a) the pressure and temperature at the end of the heat-addition process, (b) the net work output, (c) the thermal efficiency, and (d) the mean effective pressure for the cycle. (4390 kpa, 1730 k; 423 kj/kg; 56.4%; 534 kpa)