As an intern with an engineering firm, you are asked to measure the moment of inertia of a large wheel, for rotation about an axis through its center. since you were a good physics student, you know what to do. you measure the diameter of the wheel to be 0.72 m and find that it weighs 256 n . you mount the wheel, using frictionless bearings, on a horizontal axis through the wheel's center. you wrap a light rope around the wheel and hang a 7.76 kg mass from the free end of the rope. you release the mass from rest; the mass descends and the wheel turns as the rope unwinds. you find that the mass has speed 3.5 m/s after it has descended 2.6 m . (a) what is the moment of inertia of the wheel for an axis perpendicular to the wheel at its center?
(b) your boss tells you that a larger i is needed. he asks you to design a wheel of the same mass and radius that has i = 19.0 kg*m2. how do you reply?