You are a water resources engineer designing an irrigation canal that parallels a river for a distance of 35 km. Between the canal and river is an alluvial aquifer with 12 m depth above a confining layer. The mean distance between the planned canal and river is 0.1 km and the alluvium has hydraulic conductivity (Kh) = 0.15 mm/s. Mean water level in the river is 300 m above mean seas level and mean water level in the canal will be 302 m above mean sea level. Estimate:a. the seepage loss rate from the canal to river per 1 km length of canal in cms.

Apiston-cylinder with a volume of 0.25 m3 holds 1 kg of air (r 0.287 k/kgk) at a temperature of 100 c. heat transfer to the cylinder causes an isothermal expansion of the piston until the volume triples. how much heat is added to the piston-cylinder?

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.