Question

Насос за 10 минут выкачивает воду объемом 5м^3. Глубина колодца 6м. Какова мощность двигателя насоса?

Answer 1

Насос за 10 минут выкачивает воду объемом 5м^3. Глубина колодца 6м. Какова мощность двигателя насоса?

Дано t=600 с     V=5 м3   p=1000 кг/м3    h=6 м    P- ?

А=P*t
P= m*g*h/t=p*V*g*h/t=1000*5*10*6/600=500 Вт

Answer 2

Calculation of Power of the Pump

To calculate the power of the pump, we need to know the work done by the pump in a given time. The work done by the pump can be calculated using the formula:

Work = Force x Distance

In this case, the force exerted by the pump is equal to the weight of the water being lifted. The weight of the water can be calculated using the formula:

Weight = Mass x Gravity

The mass of the water can be calculated using the formula:

Mass = Density x Volume

Given that the volume of water being pumped is 5 m^3 and the density of water is approximately 1000 kg/m^3, we can calculate the mass of the water:

Mass = 1000 kg/m^3 x 5 m^3 = 5000 kg

The weight of the water can be calculated using the acceleration due to gravity, which is approximately 9.8 m/s^2:

Weight = 5000 kg x 9.8 m/s^2 = 49000 N

Now, we can calculate the work done by the pump. The work done is equal to the force exerted by the pump multiplied by the distance over which the force is applied. In this case, the distance is equal to the depth of the well, which is 6 m:

Work = 49000 N x 6 m = 294000 J

The power of the pump can be calculated using the formula:

Power = Work / Time

Given that the time taken to pump the water is 10 minutes, we need to convert it to seconds:

Time = 10 minutes x 60 seconds/minute = 600 seconds

Now, we can calculate the power of the pump:

Power = 294000 J / 600 s = 490 W

Therefore, the power of the pump is approximately 490 Watts.

Please note that the above calculation assumes 100% efficiency of the pump. In reality, pumps are not 100% efficient, and there may be losses due to factors such as friction and heat.