Use the formula v=r( to find the value of the missing variable. r=25m,omega =(3pi )/(5) radians per sec The missing variable is v=square m per sec. (Type an exact answer.)

## Step 1<br />The given formula is \(v = r\omega\), where \(v\) is the velocity, \(r\) is the radius, and \(\omega\) is the angular velocity.<br /><br />## Step 2<br />We are given the values of \(r\) and \(\omega\), which are \(25m\) and \(\frac{3\pi}{5}\) radians per second respectively.<br /><br />## Step 3<br />We substitute these values into the formula to find the value of \(v\).<br /><br />### \(v = 25m \times \frac{3\pi}{5}\)<br /><br />## Step 4<br />Simplify the expression to get the value of \(v\).<br /><br />### \(v = 15\pi m/s\)