Question

Давление воды в цилиндре нагнетательного насоса 1200кПа . Чему равна работа при перемещении поршня площадью 400см в квадрате на расстояние 50 см?

Answer 1

A=p(V2-V1)=p*S*l=1200*1000*4*0,5=2400*1000 Дж=2400 кДж.

Для решения задачи нужно знать формулу и уметь грамотно переводить всё в СИ, то есть кПа в Па, см в метры.
Если что-то не понятно, пиши в личку. 

Answer 2

Calculation of Work Done by the Piston

To calculate the work done by the piston, we can use the formula:

Work = Force x Distance

In this case, the force is equal to the pressure multiplied by the area of the piston, and the distance is the displacement of the piston.

Given: - Pressure of water in the cylinder of the pump: 1200 kPa - Area of the piston: 400 cm² - Displacement of the piston: 50 cm

First, let's convert the pressure from kilopascals (kPa) to pascals (Pa) since the SI unit for pressure is pascal.

1 kPa = 1000 Pa

Therefore, the pressure is: 1200 kPa = 1200 * 1000 Pa = 1,200,000 Pa

Now, let's calculate the force exerted by the water on the piston:

Force = Pressure x Area

Force = 1,200,000 Pa x 400 cm²

However, we need to convert the area from square centimeters (cm²) to square meters (m²) since the SI unit for area is square meters.

1 cm² = 0.0001 m²

Therefore, the area is: 400 cm² = 400 * 0.0001 m² = 0.04 m²

Now, let's calculate the force:

Force = 1,200,000 Pa x 0.04 m²

Force = 48,000 N

Finally, let's calculate the work done by the piston:

Work = Force x Distance

Work = 48,000 N x 0.5 m

Work = 24,000 J

Therefore, the work done by the piston when it is displaced by 50 cm is 24,000 Joules.