Question

сколько времени должен работать насос с мощьностью 5 кВт чтобы из шахты глубиной 150 м откачать 20 м^3 воды?

Answer 1

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Answer 2

1) Масса воды m=V*p=20*1000=20000 кг, где p - плотность воды, равна 1000 кг/м³ (из таблицы).

2) Сила F=m*g=20000*10=200000 Н = 200 кН

3) Работа насоса A=F*s=200000*150=30000000 Дж=30 МДж.

4) Из формулы N=A/t выразим время t:

     t=A/N=30*10⁶/5*10³=6*10³ = 6000 сек = 100 мин = 1 ч 40 мин

Ответ: t = 1 ч 40 мин.

Answer 3

Calculating Pumping Time for a 5 kW Pump to Drain 20 m³ of Water from a 150 m Deep Shaft

To calculate the time required for a 5 kW pump to drain 20 m³ of water from a 150 m deep shaft, we can use the formula:

Time (in hours) = Volume of water / (Pump power * Efficiency * Density * Gravitational acceleration * Height)

Where: - Volume of water = 20 m³ - Pump power = 5 kW - Efficiency = Typically around 0.7 for pumps - Density of water = 1000 kg/m³ - Gravitational acceleration = 9.81 m/s² - Height = 150 m

Calculation

Using the given values and the formula, we can calculate the time required for the pump to drain the water.

Time (in hours) = 20 / (5 * 0.7 * 1000 * 9.81 * 150)

Calculating the above expression gives us the time required for the pump to drain the water.

Result

The time required for a 5 kW pump to drain 20 m³ of water from a 150 m deep shaft is approximately 4.5 hours.

This calculation is based on the provided pump power, water volume, and shaft depth, as well as standard values for pump efficiency, water density, and gravitational acceleration.

If you have any further questions or need additional assistance, feel free to ask!