The Tryon Creek Wastewater Treatment Plant discharges an average of 8.3 million gallons per day into the Willamette River. Upstream of the discharge point, the Willamette River is 45 feet wide and 15 feet deep (on average), and the average velocity is 10 ft/s. Neglect density differences due to the wastewater. Determine: a. flow rate downstream of the discharge point (ft3/s)b. mass flow rate downstream of the discharge point (slugs/s)c. increase in width of the river downstream of the discharge point assuming depth and velocity do not change (ft)Hint: the cross-sectional shape of a shallow, wide river can be approximated as a rectang

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?