1.25 points A 1.75-kg bucket is attached to a disk-shaped pulley of radius 12.1 cm and mass 0.742 kg. If the bucket is allowed to fall, what is the angular acceleration of the pulley? O 66.9 rad/52 None of the provided answer choices are correct. 71.7 rad/s2 69.5 rad/52 O 64.3 rad/522 1.25 points Ken, who is curious about science, constructs a triangular-shaped rigid body (see Figure below) for one of his experiments. The rigid body consists of three particles connected by rods of negligible mass. Ken wishes to rotate the body about an axis perpendicular to its plane through point P. If M = 75 g, a = 30. cm, and b = 50. cm, how much work is required to take the body from rest to an angular speed of 6.5 rad/s? M O b 6 a a O 2M 2M O 0.53 J O 0.61 J 0.73 J O 0.40 J O 0.82 J Previous NextA remote-controlled car's wheel accelerates at 18.4 rad/s. If the wheel begins with an angular speed of 1.72 rev/s, what is the wheel's angular speed after exactly eight full turns? O 38.4 rad/s 44.3 rad/s 56.5 rad/s 30.8 rad/s O 49.1 rad/sSara loves hervintage record player. The turntable on Sara's record player has an angular speed of 7.1 rad/s at the instant it is switched off. Four seconds later. her turntable has an angular speed of 2.6 rad/s. Assuming constant angular acceleration, through how many revolutions does the turntable rotate from the time it is turned off until it stops? C) 3.6 rev C) 14 rev C) 6.2 rev C) 22 rev C) 9.5 rev A potter's wheel of radius 0.45 m and mass 100.0 kg is freely rotating at 50.0 rev/min. The potter can stop the wheel in 4.0s by pressing a wet rag against the rim. How much torque does the potter apply to the wheel? (Note: The potter's wheel is a solid disk.) C - 13 m.N - 5.6 m.N - 8.8 m.N - 15 m.N O - 11 m . NTA merrygoround rotates at the rate of 0.30 radXs with an 80.0kg man standing at a point 2.0 m from the axis of rotation. What is the new angular speed when the man walks to a point 0.80 m from the center? Assume that the merrygoround is a solid 650kg cylinder with a diameter of 4.00 m. 0 0.16 rad/s 0 None ofthe provided answer choices are correct. C) 0.28 rad/s C) 0.66 rad/s (D 0.36 rad/s The diagram below shows a pulley which is set on a frictionless horizontal axle. A massless cord is wrapped around the pulley (radius r = 10.0 cm) and attached to a block of mass M = 2.0 kg. The block slides on a frictionless surface which is inclined at angle 0 = 30" with the horizontal. If the block slides down the incline's surface at 0.90 m/s2, then what is the moment of inertia of the pulley about the axle? M O 0.077 kg.m2 O 0.089 kg.m2 O 0.058 kg.m2 None of the provided answer choices are correct. OO 0.066 kg.m2Two uniform solid cylinders, each rotating about its central (longitudinal) axis at 295 rad/s, have the same mass of 1.25 kg but differ in radius. What is the rotational kinetic energy of the smaller cylinder, of radius 30.0 cm? 2180 J O 2840 J 2450 J O 2610 J O 3020 J