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# Una pequeña empresa agroindustrial

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Una pequeña empresa agroindustrial tiene una cisterna rectangular a 2m del suelo, con base 2m por 3m y una altura de 2m, la cual está llena de agua. Este tanque de agua se utiliza para el riego tecnificado de 4 parcelas de plantas de aguacate. Se solicita elaborar un procedimiento para para determinar el trabajo necesario para bombear el agua hasta el nivel del suelo y de esta manera dimensionar la potencia de la bomba a usar. Considerar el peso específico del agua 9800N/m3.

May 21, 2023

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A small agro-industrial company has a rectangular cistern 2m above the ground, with a base of 2m by 3m and a height of 2m, which is filled with water. This water tank is used for irrigation of 4 plots of avocado plants. Determine the work necessary to pump the water up to the ground level and the size of the pump to be used. Consider the specific weight of water 9800N/m^3

Volume of the water in cistern=2m x 3m x 2m=12 m^3

The mass of the water in the cistern =9800 * 12 / 9.81 =11,987.77 kg

The amount of Work needed to pump the water up to ground level:

W = m * g * h
W = 11,987.77 kg * 9.81 m/s² * 2m
W = 235,200 J (Joules)

The size of the pump depends on how fast you want to pump out the water. Let us assume, you want to finish the job in 1 hour, or 3600 seconds:

235,200 J / 3,600 s =65 + 1/3 Watts - the size of the pump.

May 21, 2023