Calculate the power required to pump 50000 litres of water per minute to a vertical height of 72 m.

To determine the power required to pump water to a specific height, we can use the formula for hydraulic power, which is based on the flow rate, the height to which the water is raised, and the density of the fluid. The formula is:

[

\text{Power (kW)} = \frac{\text{Flow Rate (m}^3/\text{s}) \times \text{Density (kg/m}^3) \times g (\text{m/s}^2) \times \text{Height (m)}}{1000}

]

where:

• Flow Rate in cubic meters per second (m³/s) is found by converting the flow from liters to cubic meters.

• The density of water is approximately 1000 kg/m³.

• ( g ) (gravity) is approximately 9.81 m/s².

For this scenario, the flow rate of 50000 liters per minute can be converted as follows:

[

\text{Flow Rate} = \frac{50000 \text{ L/min}}{1000} = 50 \text{ m}^3/\text{min}

]

To convert it to cubic meters per second:

[