Question

Вода объемом 4,5 м^3 подается при помощи насоса на высоту 10 метров за 10 минут. Определить мощность насоса.(p=100кг\м^3)

Answer 1

Мощность равна работе за единицу времени.
N = A/t = 4,5*1000*10/(10*60) = 75 Вт.

Answer 2

Calculation of Power of the Pump

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

Power (P) = Work (W) / Time (t)

The work done by the pump can be calculated using the formula:

Work (W) = Force (F) x Distance (d)

In this case, the force exerted by the pump is equal to the weight of the water being lifted. The weight of the water can be calculated using the formula:

Weight (W) = Mass (m) x Gravity (g)

The mass of the water can be calculated using the formula:

Mass (m) = Density (ρ) x Volume (V)

Given: - Volume of water (V) = 4.5 m^3 - Height lifted (d) = 10 meters - Time taken (t) = 10 minutes = 600 seconds - Density of water (ρ) = 100 kg/m^3

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

1. Calculate the mass of the water: - Mass (m) = Density (ρ) x Volume (V) - Mass (m) = 100 kg/m^3 x 4.5 m^3 - Mass (m) = 450 kg

2. Calculate the weight of the water: - Weight (W) = Mass (m) x Gravity (g) - Weight (W) = 450 kg x 9.8 m/s^2 - Weight (W) = 4410 N

3. Calculate the work done by the pump: - Work (W) = Force (F) x Distance (d) - Work (W) = Weight (W) x Distance (d) - Work (W) = 4410 N x 10 m - Work (W) = 44100 J

4. Calculate the power of the pump: - Power (P) = Work (W) / Time (t) - Power (P) = 44100 J / 600 s - Power (P) = 73.5 W

Therefore, the power of the pump is 73.5 Watts.