Question

Полезная мощность насоса 10 кВт. Какой объем воды может поднять этот насос на поверхность земли с глубины 18 м в течение 30 мин.? Плотность воды принять равной 1000 кг/м кубический

Answer 1

Р равна   А( дж)/t(сек)
А равна mgh
m равна р*V
следовательно V равен 10000вт *1800 сек / 1000кг/м3 *10 н/м *18м  равно 100м3

Answer 2

Calculating the Volume of Water Lifted by a 10 kW Pump

To calculate the volume of water that a 10 kW pump can lift to the surface from a depth of 18 m in 30 minutes, we can use the formula for power:

Power (P) = Work (W) / Time (t)

The work done by the pump is equal to the potential energy of the water lifted, which can be calculated using the formula:

Work (W) = Force (F) × Distance (d)

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

Force (F) = Mass (m) × Acceleration due to gravity (g)

Given: - Power (P) = 10 kW - Depth (d) = 18 m - Time (t) = 30 minutes - Density of water (ρ) = 1000 kg/m^3

Calculating Force and Work

First, let's calculate the force required to lift the water and then the work done by the pump.

The force required to lift the water can be calculated using the formula: Force (F) = Mass (m) × Acceleration due to gravity (g)

The mass of the water can be calculated using the formula: Mass (m) = Volume (V) × Density (ρ)

The volume of water can be calculated using the formula: Volume (V) = Area of base (A) × Depth (d)

The area of the base can be calculated using the formula for the area of a circle: Area of base (A) = π × (radius)^2

Given: - Depth (d) = 18 m

Let's calculate the area of the base and the volume of water.

Calculating Area of Base and Volume of Water

The area of the base (A) can be calculated using the formula: Area of base (A) = π × (radius)^2

The volume of water (V) can be calculated using the formula: Volume (V) = Area of base (A) × Depth (d)

Calculating Work Done by the Pump

Now that we have the volume of water, we can calculate the work done by the pump using the formula: Work (W) = Force (F) × Distance (d)

Calculating Power and Volume of Water

Finally, we can calculate the volume of water lifted by the pump and the power required using the formula: Power (P) = Work (W) / Time (t)

Let's proceed with these calculations.