Calculating the Minimum Power of a Water Pump

What is the minimum power required for a water pump to discharge water through 12m at a rate of 2.0kg/s?

- Calculate the minimum power of the pump

Minimum Power Calculation:

First, we need to determine the work done per unit time to find the minimum power of the pump. The work done is equal to the force exerted multiplied by the distance traveled.

Force = Mass Flow Rate x Acceleration due to Gravity

Distance Traveled = 12m

Work Done = Force x Distance Traveled

Minimum Power = Work Done per Unit Time ÷ Discharge Speed of Each Drop

When calculating the minimum power required for a water pump to discharge water through 12m at a rate of 2.0kg/s, several key factors need to be considered. These factors include the mass flow rate, acceleration due to gravity, distance traveled, and discharge speed of each drop.

The minimum power of the pump can be determined by calculating the work done per unit time. The force exerted by the pump can be calculated as the product of the mass flow rate (2.0 kg/s) and the acceleration due to gravity (9.8 m/s^2). The distance traveled is given as 12m. Multiplying the force and distance will give us the work done per unit time.

Finally, to find the minimum power of the pump, the work done per unit time needs to be divided by the discharge speed of each drop, which is 3.0 m/s. This calculation will give us the minimum power required for the water pump to discharge water through the specified distance at the given rate.