A truck accidentally discharges 100 m3 of pesticide into the river stream. The river flow and velocity into the pond are 0.1 m3 /s and 0.15 m/s, respectively. The pond has a liquid volume of 50000 m3 . The distance from the spill site to the pond is 10 km. Assume that the pesticide spill as a pulse input and the pond behaves as flow balanced CMFR. Estimate the time for the pulse to reach the pond and the time it will take to flush 99.9% of the pesticide from the pond. Report the time in days

Tom is having a problem with his washing machine. he notices that the machine vibrates violently at a frequency of 1500 rpm due to an unknown rotating unbalance. the machine is mounted on 4 springs each having a stiffness of 10 kn/m. tom wishes to add an undamped vibration absorber attached by a spring under the machine the machine working frequency ranges between 800 rpm to 2000 rpm and its total mass while loaded is assumed to be 80 kg a) what should be the mass of the absorber added to the machine so that the natural frequency falls outside the working range? b) after a first trial of an absorber using a mass of 35 kg, the amplitude of the oscillation was found to be 10 cm. what is the value of the rotating unbalance? c) using me-3.5 kg.m, find the optimal absorber (by minimizing its mass). what would be the amplitude of the oscillation of the absorber?