Use the formula \( \omega=\frac{\theta}{t} \) to find the value of the missing variable. \( \theta=\frac{3 \pi}{4} \) radians, \( t=10 \mathrm{sec} \) \( \omega=\square \) radians per sec (Simplify your answer. Use integers or fractions for any numbers in the

To find the value of \( \omega \) using the formula \( \omega = \frac{\theta}{t} \), we can substitute the given values of \( \theta \) and \( t \). Given: - \( \theta = \frac{3 \pi}{4} \) radians - \( t = 10 \) seconds Now, substituting these values into the formula: \[ \omega = \frac{\theta}{t} = \frac{\frac{3 \pi}{4}}{10} \] To simplify this, we can rewrite it as: \[ \omega = \frac{3 \pi}{4 \cdot 10} = \frac{3 \pi}{40} \] Thus, the value of \( \omega \) is: \[ \omega = \frac{3 \pi}{40} \text{ radians per second} \]