Use the formula $\omega=\frac{\theta}{t}$ to find the value of the missing variable.
\[
\theta=\frac{3 \pi}{4} \text { radians, } t=5 \mathrm{sec}
\]
$\omega=$ radians per sec
(Type an exact answer using pi)

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Answer

Final Answer: $\boxed{0.471 \text{ radians per sec}}$

Steps

Step 1 ：Given that the angle $\theta$ is $\frac{3 \pi}{4}$ radians and the time $t$ is 5 seconds, we are asked to find the angular velocity $\omega$.

Step 2 ：We use the formula for angular velocity, $\omega = \frac{\theta}{t}$.

Step 3 ：Substituting the given values into the formula, we get $\omega = \frac{\frac{3 \pi}{4}}{5}$.

Step 4 ：Simplifying the expression, we find that $\omega$ is approximately 0.471 radians per second.

Step 5 ：Final Answer: $\boxed{0.471 \text{ radians per sec}}$