Question: Two wheels A and B in the figure are connected by a belt that does not slip. The radius of B is 7.81 times the










Two wheels A and B in the figure are connected by a belt that does not slip. The radius of B is 7.81 times the radius of A. What would be the ratio of the rotational inertias IA/Is if the two wheels had (a) the same angular momentum and (b) the same rotational kinetic energy? B (a) Number Units (b) Number UnitsA horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a vertical axle through the center of the disk. The platform has a radius of 4.09 m and a rotational inertia of 224 kg.m about the axis of rotation. A 54.8 kg student walks slowly from the rim of the platform toward the center. If the angular speed of the system is 2.78 rad/s when the student starts at the rim, what is the angular speed when she is 0.433 m from the center? Number i UnitsThe angular momentum of a flywheel having a rotational inertia of 0.135 kg-m about its central axis decreases from 5.50 to 0.380 kg.m2/s in 2.30 s. (a) What is the magnitude of the average torque acting on the flywheel about its central axis during this period? (b) Assuming a constant angular acceleration, through what angle does the flywheel turn? (c) How much work is done on the wheel? (d) What is the magnitude of the average power done on the flywheel? (a) Number Units (b) Number i Units v (c) Number H Units (d) Number i UnitsAn automobile traveling 94.0 km/h has tires of 70.0 cm diameter. (a) What is the angular speed of the tires about their axles? (b) If the car is brought to a stop uniformly in 27.0 complete turns of the tires, what is the magnitude of the angular acceleration of the wheels? (c) How far does the car move during the braking? (Note: automobile moves without sliding) (a) Number Units (b) Number i Units v (c) Number Units vA sanding disk with rotational inertia 4.4 x 10'3 kg-m2 is attached to an electric drill whose motor delivers a torque of magnitude 15 N-m about the central axis of the disk. About that axis and with torque applied for 89 ms, what is the magnitude of the [a] angular momentum and {h} angular velocity of the disk
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