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)

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: \(\boxed{0.471 \text{ radians per sec}}\)