Calculate the rotational inertia of a meter stick, with mass 0.513 kg, about an axis perpendicular to the stick and located at the 15.1 cm mark. (Treat the stick as a thin rod.) Number i UnitsA disk, initially rotating at 146 rad/s, is slowed down with a constant angular acceleration of magnitude 3.20 rad/s. (a) How much time does the disk take to stop? (b) Through what angle (rad) does the disk rotate during that time? (a) Number Units (b) Number i UnitsThe angular position of a point on a rotating wheel is given by 0 = 2.38 + 5.47t2 + 1.75t , where 0 is in radians and t is in seconds. Att = 0, what are (a) the point's angular position and (b) its angular velocity? (c) What is its angular velocity at t = 5.16 s? (d) Calculate its angular acceleration at t = 1.71 s. (e) Is its angular acceleration constant? (a) Number i Units (b) Number i Units v (c) Number i Units v (d) Number i Units v (e) Number vThe angular acceleration of a wheel is a = 9.0t4 6.0t2, with a in radians per second-squared and t in seconds. At time t= U, the wheel has an angular velocity,r of +2 radls and an angular position of +5 rad. Write expressions for (a) the angular \\u'~.C.-|oI:it'g.r [rad/s] and [b} the angular position {rad} as functIons of time {s}. n Units | \"l When a man on a frictionless rotating stool extends his arms horizontally, his rotational kinetic energy: O must increase O must decrease O must remain the same O may increase or decrease depending on his initial angular velocity O may increase or decrease depending on his angular acceleration