Use the formula v=romega to find the value of the missing variable. v=9 m per sec, r=10 m omega =square radians per sec (Type an integer or a simplified fraction. Type an exact answer, using pi as needed.)

## Step 1<br />The given formula is \(v = r\omega\), where \(v\) is the linear speed, \(r\) is the radius, and \(\omega\) is the angular speed in radians per second.<br /><br />## Step 2<br />We are given the values of \(v\) and \(r\), which are 9 m/s and 10 m respectively. We are asked to find the value of \(\omega\).<br /><br />## Step 3<br />We can rearrange the formula to solve for \(\omega\). The rearranged formula is \(\omega = \frac{v}{r}\).<br /><br />## Step 4<br />Substitute the given values into the rearranged formula. This gives us \(\omega = \frac{9}{10}\).