Step 1: Analyze the Centrifugal Stress.
Centrifugal stress in a rotating body, such as a compressor blade, is proportional to the square of the rotational speed and directly proportional to the radius of the rotation. Given a constant rotational speed, as the radius (fan tip radius) increases, the path of the blade tip travels faster, thus increasing the centrifugal force exerted.
Step 2: Conclusion.
Since the centrifugal force increases with an increase in radius, so does the stress on the blade due to this force.