Oxygen enters a diffuser steadily at 180 kPa and 320 m/s with a mass flow rate of 800 kg/hr and leaves at 1.2 MPa and 300 degrees Celsius. The exit area of the diffuser is 75 cm2 and heat is lost to the surroundings at a rate of 6 kW. Determine (a) the exit velocity and (b) the inlet temperature. (Use the properties of Oxygen at 300K)

An electrical motor raises a 50kg load at a construct velencity .calculate the power of the motor, if it takes 40sec to raise the load through a height of 24m(take g =9.8n/g)

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.

Which of the following components of a pid controlled accumulates the error over time and responds to system error after the error has been accumulated? a)- proportional b)- derivative c)- integral d)- on/off.