Aheat pump cycle is used to maintain the interior of a building at 21°c. at steady state, the heat pump receives energy by heat transfer from well water at 9°c and discharges energy by heat transfer to the building at a rate of 120,000 kj/h. over a period of 14 days, an electric meter records that 1490 kw ⋅ h of electricity is provided to the heat pump. determine: 1. the amount of energy that the heat pump receives over the 14-day period from the well water by heat transfer, in kj. 2. the heat pump’s coefficient of performance. 3. the coefficient of performance of a reversible heat pump cycle operating between hot and cold reservoirs at 21°c and 9°c.

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?