Weizi city plaza water

Let the initial velocity of the water sprayed by the nozzle be v, the mass of the water sprayed by the nozzle in unit time be m, and the time taken for the water to rise to the highest point be t,

According to the law of conservation of energy, the gravitational potential energy when water rises to the highest point is all provided by the electric work done by the water pump, so Pt=mgh.

And time t satisfies: v=gt.

To form a fountain, there must be rising water and falling water, so the water pump must be ejected at a time interval of 2t to form a completely continuous water column in the air. So the mass of water ejected per unit time multiplied by the total time it stays in the air is the mass of the whole water column, so the total mass of water in the air is M=mx2t.

The solution is: p = m √ g 3h/8. As long as the total mass of water in the air is known, the power of the pump can be calculated.