Answer
$1.047\text{ inches}$
Work Step by Step
The arc length can be computed using the formula
$s=r\cdot \frac{\theta}{180}\cdot \pi$
Substitute the given values into the formula above to obtain:
$s=2\cdot \frac{30}{180}\cdot \pi\\
s=\frac{\pi}{3}
\\s\approx1.047\text{ inches}$.