Use the formula $s=r \omega t$ to find the value of the missing variable.
\[
s=\frac{4 \pi}{5} k m, r=1 k m, t=5 \mathrm{sec}
\]
\[
\omega=
\]
radians per sec
(Type an exact answer, using $\pi$.)

Answer

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Final Answer: $\boxed{\frac{4 \pi}{25}}$ radians per sec.

Steps

Step 1 ：The question is asking for the value of $\omega$ in the formula $s=r \omega t$. We know the values of $s$, $r$, and $t$, so we can rearrange the formula to solve for $\omega$ as follows: $\omega = \frac{s}{r \cdot t}$.

Step 2 ：Substitute the given values into the formula: $s = \frac{4 \pi}{5}$, $r = 1$, and $t = 5$.

Step 3 ：Solve for $\omega$ to get $\omega = \frac{4 \pi}{25}$.

Step 4 ：Final Answer: $\boxed{\frac{4 \pi}{25}}$ radians per sec.

Use the formula $s=r \omega t$ to find the value of the missing variable.\[s=\frac{4 \pi}{5} k m, r=1 k m, t=5 \mathrm{sec}\]\[\omega=\]radians per sec(Type an exact answer, using $\pi$.)

Answer

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Use the formula $s=r \omega t$ to find the value of the missing variable.
\[
s=\frac{4 \pi}{5} k m, r=1 k m, t=5 \mathrm{sec}
\]
\[
\omega=
\]
radians per sec
(Type an exact answer, using $\pi$.)