Asingle-thread steel worm rotates at 180.64 rad/s, meshing with a 24-tooth worm gear trans mitting 0.7457 kw to the output shaft. the worm pitch diameter is 3 in and the tangential diametral pitch of the gear is 4 teeth/in. the normal pressure angle is 14.5. the ambient temperature is 294.26 k. the application factor is 1.25 and the design factor is ; gear face width is 12.7 mm, lateral case area 5483.86 cm2, and the gear is chill-cast bronze. (a) find the gear geometry (b) find the transmitted gear forces and the mesh efficiency (c) is the mesh sufficient to handle the loading? (d) estimate the lubricant sump temperature.

Amass of m 1.5 kg of steam is contained in a closed rigid container. initially the pressure and temperature of the steam are: p 1.5 mpa and t 240°c (superheated state), respectively. then the temperature drops to t2= 100°c as the result of heat transfer to the surroundings. determine: a) quality of the steam at the end of the process, b) heat transfer with the surroundings. for: p1.5 mpa and t 240°c: enthalpy of superheated vapour is 2900 kj/kg, specific volume of superheated vapour is 0. 1483 m/kg, while for t 100°c: enthalpy of saturated liquid water is 419kj/kg, specific volume of saturated liquid water is 0.001043m/kg, enthalpy of saturated vapour is 2676 kj/kg, specific volume of saturated vapour is 1.672 m/kg and pressure is 0.1 mpa.

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 controllers anticipates the future from the slope of errors over time? a)-proportional b)-on/off c)-integral d)-derivative.