Question

A shell acquires the initial velocity v = 320 m/s, having made n = 2.0 turns inside the barrel whose length is equal to l = 2.0 m. Assuming that the shell moves inside the barrel with a uniform acceleration, find the angular velocity of its axial rotation at the moment when the shell escapes the barrel.

Answer 1

$\left.\begin{matrix} {\omega =2 \pi \nu} \\ \left.\begin{matrix} \nu =\frac{n}{t} \\ t=\frac{l}{v} \end{matrix}\right\} \Rarr \nu =\frac{nv}{l} \end{matrix}\right\} \Rarr \omega =\frac{2 \pi nv }{l}$

$\omega =\frac{2\cdot 3.14\cdot 2\cdot320 }{2}\approx2000$ ($\frac{rad}{s}$ )