Question

Цистерна заповнена гасом та на глибині 4м поставлено кран. Визначити якою буде площа крана якщо гас тисне із силою 60Н.

Answer 1

Дано:

h=4 м

F=60 Н

ρ=800 кг/м³

g≈10 Н/кг

S-?

Розв'язання:

p=ρgh=800×10×4=32000 (Па)

p=F/S => S=F/p

S=60/32000=1,875×10⁻³ (м²)

Відповідь:S=1,875×10⁻³ м².

Answer 2

Calculation of the Area of the Valve

To determine the area of the valve, we can use the formula for pressure:

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

Given: - Depth of the gas = 4m - Force exerted by the gas = 60N

We can use the formula for pressure to calculate the area of the valve.

Calculation

The pressure exerted by the gas can be calculated using the formula:

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

Rearranging the formula to solve for Area (A):

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

Applying the Given Values

Given: - Depth of the gas (h) = 4m - Force exerted by the gas (F) = 60N

We can calculate the pressure exerted by the gas using the formula:

Pressure (P) = Density (ρ) x g x h

Where: - Density of the gas (ρ) and acceleration due to gravity (g) are constants.

Let's calculate the area of the valve using the given force and depth of the gas.