Question

в Москве на ВДНХ находиться фонтан "Дружба народов", который за у минуту поднимает воду объёмом V=1200 л на высоту h= 24 м. Определите мощность двигателя насоса, считая, что вся мощность связана с подъёмом воды (помогите надо очень срочно)

Answer 1

Ответ:

P=A/t

A=F*h

F=mg

m=V*p

p(воды)=1000кг/$m^{3}$

g=10$\frac{m}{c^{2} }$

V=1200литров=1,2$m^{3}$

m=1,2*1000кг=1200 кг

F=1200*10=12000 Н

A=24 м * 12000 Н=288000 Дж

P=288000Дж/60с=4800 Вт

Answer 2

Calculation of Power of the Pump Motor

To determine the power of the pump motor, we can use the formula:

Power = Work / Time

In this case, the work done by the pump is equal to the potential energy gained by the water, which can be calculated using the formula:

Work = m * g * h

Where: - m is the mass of the water lifted (which can be calculated using the density of water and the volume of water lifted) - g is the acceleration due to gravity (approximately 9.8 m/s^2) - h is the height to which the water is lifted (24 m in this case)

The time taken to lift the water is given as 1 minute, which is equal to 60 seconds.

Let's calculate the power of the pump motor step by step:

1. Calculate the mass of the water lifted: - The volume of water lifted is given as V = 1200 L = 1200 dm^3. - 1 dm^3 of water has a mass of 1 kg. - Therefore, the mass of the water lifted is 1200 kg.

2. Calculate the work done by the pump: - Using the formula: Work = m * g * h - Substituting the values: Work = 1200 kg * 9.8 m/s^2 * 24 m - Calculating the result: Work = 282,240 J (joules)

3. Calculate the power of the pump motor: - Using the formula: Power = Work / Time - Substituting the values: Power = 282,240 J / 60 s - Calculating the result: Power = 4,704 W (watts)

Therefore, the power of the pump motor is 4,704 watts.

Please note that this calculation assumes that all the power is used for lifting the water and does not take into account any losses due to friction or other factors.