Use the formula \( \nu=r \omega \) to find the value of the missing variable. \( r=8 \mathrm{~m}, \omega=\frac{3 \pi}{4} \) radians per sec The missing variable is \( \nu=\square \mathrm{m} \) per sec. (Type an exact answer.)

To find the value of the missing variable \( \nu \) using the formula \( \nu = r \omega \), we can substitute the given values of \( r \) and \( \omega \). Given: - \( r = 8 \, \text{m} \) - \( \omega = \frac{3\pi}{4} \, \text{radians per sec} \) Now, substituting these values into the formula: \[ \nu = r \omega = 8 \, \text{m} \cdot \frac{3\pi}{4} \, \text{radians per sec} \] Calculating this: \[ \nu = 8 \cdot \frac{3\pi}{4} = \frac{24\pi}{4} = 6\pi \, \text{m per sec} \] Thus, the value of the missing variable \( \nu \) is: \[ \nu = 6\pi \, \text{m per sec} \]