Use the formula $v=r \omega$ to find the value of the missing variable. $\nu=9 \mathrm{~m}$ per sec, $r=10 \mathrm{~m}$
\[
\omega=
\]
radians per sec
(Type an integer or a simplified fraction. Type an exact answer, using $\pi$ as needed.)
Answer
Final Answer: The angular velocity $\omega$ is \(\boxed{0.9}\) radians per second.
Step 1 ：Given the formula $v=r \omega$, where $v$ is the velocity, $r$ is the radius and $\omega$ is the angular velocity.
Step 2 ：We are given the values of $v$ and $r$ and asked to find $\omega$.
Step 3 ：We can rearrange the formula to solve for $\omega$ as follows: $\omega = \frac{v}{r}$.
Step 4 ：Substitute the given values into the formula: $v = 9$ and $r = 10$.
Step 5 ：Calculate $\omega = \frac{9}{10} = 0.9$.
Step 6 ：Final Answer: The angular velocity $\omega$ is \(\boxed{0.9}\) radians per second.
