A 230-g mass hangs from a string that is wrapped around a pulley, as shown in the gure. The pulley is suspended in such a way that it can rotate freely. When the mass is released, it accelerates toward the oor as the string unwinds. Model the pulley as a uniform solid cylinder of mass 1.00 kg and radius 7.00 cm. Assume that the thread has negligible mass and does not slip or stretch as it unwinds. Determine the magnitude or of the pulley's angular acceleration