Question

Під час пострілу з грамати сгоряє 200 кг пороху,маса снаряду 50 кг,а швидкість вильоту з стволу 800м/с. Визначте ККД грмати?​

Answer 1

Відповідь: 0,066%

Пояснення:

Answer 2

Calculation of Muzzle Energy

To determine the efficiency of the cannon, we first need to calculate the muzzle energy. Muzzle energy is the energy of the projectile as it leaves the barrel of the cannon. It can be calculated using the formula:

Muzzle Energy = (1/2) * Mass * Velocity^2

Given the following values: - Mass of the projectile (m) = 50 kg - Velocity of the projectile (v) = 800 m/s

We can substitute these values into the formula to find the muzzle energy:

Muzzle Energy = (1/2) * 50 kg * (800 m/s)^2

Calculating this expression gives us the muzzle energy.

Calculation of Gun Efficiency (Kinetik Energy Efficiency)

The kinetic energy efficiency of the cannon can be determined by comparing the muzzle energy to the energy released by the burning of gunpowder. This ratio is known as the Gun Efficiency or Kinetic Energy Efficiency (η).

Gun Efficiency (η) = (Muzzle Energy / Energy Released by Gunpowder) * 100

Given the following values: - Mass of gunpowder burned (m_gunpowder) = 200 kg

We can calculate the energy released by gunpowder using the formula:

Energy Released by Gunpowder = Mass of Gunpowder * Energy Density of Gunpowder

The energy density of gunpowder is typically around 3,000,000 J/kg.

Substituting the values into the formula, we can calculate the energy released by gunpowder.

Finally, we can substitute the muzzle energy and the energy released by gunpowder into the formula for gun efficiency to find the answer.

Calculation Steps

1. Calculate the muzzle energy using the formula: Muzzle Energy = (1/2) * Mass * Velocity^2 2. Calculate the energy released by gunpowder using the formula: Energy Released by Gunpowder = Mass of Gunpowder * Energy Density of Gunpowder 3. Calculate the gun efficiency using the formula: Gun Efficiency (η) = (Muzzle Energy / Energy Released by Gunpowder) * 100

Let's perform these calculations step by step.

Calculation of Muzzle Energy

The muzzle energy can be calculated using the formula:

Muzzle Energy = (1/2) * Mass * Velocity^2

Substituting the given values: - Mass of the projectile (m) = 50 kg - Velocity of the projectile (v) = 800 m/s

We can calculate the muzzle energy as follows:

Muzzle Energy = (1/2) * 50 kg * (800 m/s)^2

Calculating this expression gives us the muzzle energy.

Calculation of Energy Released by Gunpowder

The energy released by gunpowder can be calculated using the formula:

Energy Released by Gunpowder = Mass of Gunpowder * Energy Density of Gunpowder

Substituting the given values: - Mass of gunpowder burned (m_gunpowder) = 200 kg - Energy density of gunpowder = 3,000,000 J/kg

We can calculate the energy released by gunpowder as follows:

Energy Released by Gunpowder = 200 kg * 3,000,000 J/kg

Calculating this expression gives us the energy released by gunpowder.

Calculation of Gun Efficiency

The gun efficiency can be calculated using the formula:

Gun Efficiency (η) = (Muzzle Energy / Energy Released by Gunpowder) * 100

Substituting the calculated values for muzzle energy and energy released by gunpowder, we can calculate the gun efficiency.

Let's perform these calculations and find the answer.