Question

Необходимо поднять воду объёмом 8м3 с глубины 10м. За какое время с этой работой справится насос мощностью 1,2кВт?

Answer 1

P=A/t
t=A/P=ро*V*g*h/P=1000*8*10*10/1200=666,(6) (c)

Answer 2

Calculating Time to Pump Water

To calculate the time it takes for a pump with a power of 1.2 kW to lift 8 m³ of water from a depth of 10 m, we can use the formula:

Time = Work / Power

Where: - Work = Potential energy of the water = mass * gravity * height - Power = Power of the pump

Calculating Potential Energy of Water

The potential energy of the water can be calculated using the formula:

Potential energy = mass * gravity * height

Where: - mass = volume * density - gravity = acceleration due to gravity (approximately 9.81 m/s²) - height = depth the water needs to be lifted from

Calculation

Given: - Volume of water (V) = 8 m³ - Depth (h) = 10 m - Power of the pump (P) = 1.2 kW - Density of water (ρ) = 1000 kg/m³ (approximately)

First, we calculate the mass of the water: mass = volume * density

mass = 8 m³ * 1000 kg/m³ = 8000 kg

Now, we calculate the potential energy of the water: Potential energy = mass * gravity * height

Potential energy = 8000 kg * 9.81 m/s² * 10 m = 784800 J

Finally, we calculate the time it takes for the pump to lift the water: Time = Potential energy / Power

Time = 784800 J / 1200 W = 654 seconds

So, the pump with a power of 1.2 kW will take approximately 654 seconds to lift 8 m³ of water from a depth of 10 m.

Conclusion

Based on the calculations, a pump with a power of 1.2 kW will take approximately 654 seconds to lift 8 m³ of water from a depth of 10 m.