Question

Определите силу давления керосина на дно бака площадью 450 см^2 если бак наполнен до высоты 25 см.

Answer 1

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Answer 2

Calculating Pressure Exerted by Kerosene in a Tank

To calculate the pressure exerted by the kerosene at the bottom of the tank, we can use the formula:

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

Where: - Force (F) is the weight of the kerosene in the tank - Area (A) is the area of the bottom of the tank

Calculating the Force Exerted by the Kerosene

The force exerted by the kerosene can be calculated using the formula:

Force (F) = Weight (W) = Mass (m) * Acceleration due to gravity (g)

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

Mass (m) = Volume (V) * Density (ρ)

The volume of the kerosene can be calculated using the formula:

Volume (V) = Area of base (A) * Height (h)

Using the Given Values

Given: - Area of the base (A) = 450 cm^2 - Height of the kerosene (h) = 25 cm - Density of kerosene = 0.8 g/cm^3 (source

Calculating the Volume of Kerosene

The volume of the kerosene can be calculated as follows: Volume (V) = Area of base (A) * Height (h)

Substitute the given values: Volume (V) = 450 cm^2 * 25 cm = 11250 cm^3

Calculating the Mass of Kerosene

The mass of the kerosene can be calculated as follows: Mass (m) = Volume (V) * Density (ρ)

Substitute the given values: Mass (m) = 11250 cm^3 * 0.8 g/cm^3 = 9000 g

Calculating the Force Exerted by the Kerosene

The force exerted by the kerosene can be calculated as follows: Force (F) = Weight (W) = Mass (m) * Acceleration due to gravity (g)

Given: - Acceleration due to gravity (g) = 9.81 m/s^2

Substitute the given values: Force (F) = 9000 g * 9.81 m/s^2 = 88290 N

Calculating the Pressure

Now, we can calculate the pressure exerted by the kerosene at the bottom of the tank using the formula: Pressure (P) = Force (F) / Area (A)

Substitute the given values: Pressure (P) = 88290 N / 450 cm^2

Therefore, the pressure exerted by the kerosene on the bottom of the tank is approximately 196.2 N/cm^2.