Question

Совхозная ферма в сутки расходует 20000 литров воды, которая поступает из водонапорной башни высотой 12 м. Какую работу совершает насос за сутки, если его коэффициент полезного действия 80 % ?

Answer 1

Η = $\frac{A poleznaja}{A zatrachennaja}$ * 100 % ---------------> А полезная = А затраченная * η

А затраченная = F * S 

F - сила 
S - путь ( 12 м )

F = m * g 

m - масса ( 20000 л для воды = 20000 кг )
g - ускорение свободного падения ( 10 Н / кг )

F = 20000 * 10 = 200000 H 

A з = 200000 * 12 = 2400000 Дж 

А полезная = 2400000 * 0,8 = 1920000 Дж = 1,92 МДж

Answer 2

Calculating the Work Done by the Pump

To calculate the work done by the pump in a day, we can use the formula for the work done by a pump, which is given by:

Work = Force × Distance

In the case of a pump, the force is the force required to lift the water, and the distance is the height to which the water is lifted.

Calculating the Force Required to Lift the Water

The force required to lift the water can be calculated using the formula:

Force = Mass × Acceleration due to gravity

In this case, the mass of the water can be calculated using the density of water and the volume of water used by the farm in a day.

Calculating the Mass of Water

The mass of water can be calculated using the formula:

Mass = Density × Volume

Given: - Volume of water used by the farm in a day = 20000 liters - Density of water = 1000 kg/m^3 (at 4 degrees Celsius)

Using the above information, we can calculate the mass of water.

Calculating the Height to Which the Water is Lifted

The height to which the water is lifted is given as 12 meters.

Calculating the Work Done by the Pump

Now that we have the mass of water and the height to which it is lifted, we can calculate the work done by the pump using the formula:

Work = Force × Distance

However, we also need to consider the efficiency of the pump, which is given as 80%.

Calculating the Work Done Considering Pump Efficiency

The work done by the pump can be calculated using the formula:

Work = (Force × Distance) / Efficiency

This will give us the work done by the pump in a day, taking into account its efficiency.

Let's calculate the work done by the pump using the provided information.