Question

На железнодорожную четырехосную платформу погрузили контейнеры общей массой 5,5 т. На сколько увеличилось давление платформы на рельсы, если площадь соприкосновения колеса с рельсом 0,5 см2?

Answer 1

DP=m*g/s=5500/4*0,5*10^-4=2750*10^4 Па

Answer 2

Calculation of Pressure Increase on the Rails

To calculate the increase in pressure on the rails when loading containers onto a four-axle railway platform, we need to consider the total mass of the containers and the contact area between the wheels and the rails.

Given: - Total mass of the containers: 5.5 tons (or 5500 kg) - Contact area between the wheel and the rail: 0.5 cm²

To calculate the pressure increase, we can use the formula:

Pressure = Force / Area

The force exerted on the rails can be calculated by multiplying the mass by the acceleration due to gravity:

Force = Mass * Acceleration due to gravity

The acceleration due to gravity is approximately 9.8 m/s².

Let's calculate the force first:

Force = 5500 kg * 9.8 m/s²

Using the formula for pressure, we can calculate the pressure increase on the rails:

Pressure Increase = Force / Area

Pressure Increase = (5500 kg * 9.8 m/s²) / (0.5 cm²)

Now, let's convert the area from cm² to m²:

Area = 0.5 cm² = 0.5 * 10^(-4) m²

Substituting the values into the formula:

Pressure Increase = (5500 kg * 9.8 m/s²) / (0.5 * 10^(-4) m²)

Calculating the pressure increase:

Pressure Increase ≈ 1.078 x 10^9 Pa

Therefore, the pressure increase on the rails when loading containers with a total mass of 5.5 tons onto a four-axle railway platform with a contact area of 0.5 cm² is approximately 1.078 x 10^9 Pa.

Please note that this calculation assumes a uniform distribution of the container's weight on the platform and does not take into account other factors such as the elasticity of the wheels or the rails.