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 (Simplify your answer. Type an exact answer, using $\pi$ as needed.)

Step 1 ：Given that the angle \(\theta\) is \(\frac{3 \pi}{4}\) radians and the time \(t\) is 5 seconds, we can find the angular velocity \(\omega\) using the formula \(\omega=\frac{\theta}{t}\).

Step 2 ：Substitute the given values into the formula: \(\omega=\frac{\frac{3 \pi}{4}}{5}\).

Step 3 ：Simplify the expression to find the value of \(\omega\).

Step 4 ：Final Answer: \(\boxed{0.471}\) radians per sec.