Question

Помогите пожалуйста решить задачу: Определите подъемную силу наполненного водородом аэростата объёмом 1000м³, оболочка которого весит 2000Н

Answer 1

Ответ:

Ответ:

подъемная сила аэростата составляет 10900 Н.

Объяснение:

ДАНО:

V = 1000 м³

Р = 2000 Н

ρ₁ = 0,098 кг/м³ плотность водорода

ρ₂ = 1,29 кг/м³ плотность воздуха

g = 10 Н/кг

F - ?

РЕШЕНИЕ:

Подъемная сила аэростата F равна разности силы Архимеда F₁ и силы тяжести F₂:

F = F₁ - F₂

F₁ = ρ₂gV

Сила тяжести равна весу аэростата:

F₂ = Р

Отсюда

F = ρ₂gV - Р

F = 1,29 · 10 · 1000 - 2000 = 12900 - 2000 = 10900 (Н)

Answer 2

Calculating the Lift Force of a Hydrogen-Filled Airship

To calculate the lift force of a hydrogen-filled airship, we can use the principle of buoyancy. The lift force is equal to the weight of the air displaced by the airship. The weight of the displaced air is equal to the difference between the weight of the airship and the weight of the air it displaces.

Calculation Steps:

1. Calculate the Weight of the Displaced Air: - The weight of the displaced air can be calculated using the formula: *Weight of displaced air = Density of air x Volume of air displaced x Acceleration due to gravity*.

2. Calculate the Lift Force: - The lift force is equal to the weight of the displaced air.

Let's proceed with the calculations using the provided information.

Calculation:

1. Calculate the Weight of the Displaced Air: - The density of air at sea level is approximately 1.225 kg/m³. - The acceleration due to gravity is approximately 9.81 m/s².

Using the formula: *Weight of displaced air = Density of air x Volume of air displaced x Acceleration due to gravity*. We get: *Weight of displaced air = 1.225 kg/m³ x 1000 m³ x 9.81 m/s²*.

The weight of the displaced air is approximately 12,025 N.

2. Calculate the Lift Force: - The lift force is equal to the weight of the displaced air. - Therefore, the lift force of the hydrogen-filled airship is approximately 12,025 N.

So, the lift force of the hydrogen-filled airship with a volume of 1000 m³ and an envelope weight of 2000 N is approximately 12,025 N.