Question

Решить по закону Ньютона Снаряд массой 12 кг двигался в стволе орудия длиной 20 м в течение 9 мс. Считая, что на него действовало постоянное давление 98 МПа пороховых газов, определите внутренний диаметр ствола d(см)

Answer 1

M=12 кг              p=F/s;
L=20 м                s=πd²/4;
t=9 c                    p=4F/πd²;   d²=4F/pπ
p=98 10⁶             F=ma;  a=2L/t²
π=3,14                F=2mL/t²=2*12*20/81=5,83 H
d-?                       d²=4*5,83/98 10⁶*3,14=23,32/307,72 10⁶=0,0758 10⁻⁶ м²
                             d=0,3 10⁻³ м

Answer 2

Solution for the Internal Diameter of the Barrel

To solve for the internal diameter of the barrel using the given information, we can use the formula for pressure, force, and area, along with the relevant values provided in the question.

The formula for pressure is given by:

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

Given: - Mass of the projectile (m) = 12 kg - Length of the barrel (l) = 20 m - Time taken (t) = 9 ms (0.009 s) - Constant pressure of gunpowder gases (P) = 98 MPa (98 N/mm^2)

We can calculate the force exerted by the gunpowder gases using the formula:

Force (F) = Pressure (P) × Area (A)

The area can be calculated using the formula:

Area (A) = π × (d/2)^2, where d is the internal diameter of the barrel.

Let's calculate the internal diameter of the barrel using the provided information.

Calculation

First, let's calculate the force exerted by the gunpowder gases: F = P × A

From the given pressure, we convert it to N/m^2: 98 MPa = 98 × 10^6 N/m^2

Now, we can calculate the force using the formula: F = P × A

We can rearrange the formula for area to solve for the diameter: A = π × (d/2)^2

Then, we can solve for the diameter: d = 2 × √(A/π)

Result

Using the above calculations, we can determine the internal diameter of the barrel. Let's proceed with the calculations and provide the final result.