Question

Какое давление оказывает на грунт гранитная колонна обьемом 6м3 если площадь основания ее равна 1.5 м2

Answer 1

$p = F/S = mg/S = \rho g V/S =2600\cdot10\cdot6/1.5 = 104000$

Ответ : 104 килопаскаля

Answer 2

Calculation of Pressure Exerted by Granite Column on the Ground

To calculate the pressure exerted by a granite column on the ground, we can use the formula:

Pressure (P) = Force (F) / Area (A)

In this case, the force exerted by the granite column is equal to its weight, which can be calculated using the formula:

Force (F) = mass (m) * acceleration due to gravity (g)

The mass of the granite column can be calculated using the formula:

Mass (m) = density (p) * volume (V)

Given that the volume of the granite column is 6 m^3 and the area of its base is 1.5 m^2, we can calculate the pressure exerted by the granite column on the ground.

Let's break down the calculation step by step:

1. Calculate the mass of the granite column: - The density of granite is approximately 2700 kg/m^3. - The volume of the granite column is given as 6 m^3. - Using the formula Mass (m) = density (p) * volume (V), we can calculate the mass: - Mass (m) = 2700 kg/m^3 * 6 m^3 = 16200 kg.

2. Calculate the force exerted by the granite column: - The acceleration due to gravity (g) is approximately 9.8 m/s^2. - Using the formula Force (F) = mass (m) * acceleration due to gravity (g), we can calculate the force: - Force (F) = 16200 kg * 9.8 m/s^2 = 158760 N.

3. Calculate the pressure exerted by the granite column: - The area of the base of the granite column is given as 1.5 m^2. - Using the formula Pressure (P) = Force (F) / Area (A), we can calculate the pressure: - Pressure (P) = 158760 N / 1.5 m^2 = 105840 Pa.

Therefore, the granite column exerts a pressure of approximately 105840 Pascal (Pa) on the ground.

Please note that the above calculation assumes that the granite column is in a vertical position and the weight is evenly distributed across the base.