A force is applied to the rim of a disk that can rotate like a merry-go-round, so as to change its angular velocity. Its initial and final angular velocities, respectively, for four situations are: (a) -2 rad/s, 5 rad/s; (b) 2 rad/s, 5 rad/s; (c) −2 rad/s, -5 rad/s; and (d) 2 rad/s, -5 rad/s. Rank the situations according to the work done by the torque due to the force. If multiple situations rank equally, use the same rank for each, then exclude the intermediate ranking (i.e. if objects A, B, and C must be ranked, and A and B must both be ranked first, the ranking would be A:Greatest, B:Greatest, C:Third greatest). If all situations rank equally, rank each as 'Greatest!.

A wheel released from rest is rotating with constant angular acceleration of 2.3 rad/s?. (e) After 4.0 s, what is its angular velocity? rad/s (b) Through what angle has the wheel turned? rad () How many revolutions has it made? rev d) What is the speed of a point 0.5 m from the axis of rotation? m/s What is the magnitude of the total acceleration of the same point? m/s2 eBook

A disk 8.06 cm in radius rotates at a constant rate of 1 180 rev/min about its central axis. (a) Determine its angular speed. rad/s (b) Determine the tangential speed at a point 2.96 cm from its center. m/s (c) Determine the radial acceleration of a point on the rim. magnitude | km/s² direction toward the center (d) Determine the total distance a point on the rim moves in 2.02 s. m

A compact disk on a CD player rotates clockwise. The disk completes one revolution in 0.286 s. (a) Find the angular velocity of the disk. (b) Find the speed of a point on the disk 6.00 cm from the axis of rotation.

As shown below, a hollow cylinder with a mass 0.318 kg and an inner radius of 20 cm and an outer radius of 30 cm is attached to a solid cylinder with a mass 0.766 kg and a radius of 50 cm. It rotates at a rate of 16.4 rad/s about an axis through both of their centers. Find the kinetic energy of the system in J. axis 50 cm -30 cm 20 cm

A machine part rotates at an angular speed of 0.02 rad/s; its speed is then increased to 3.3 rad/s at an angular acceleration of 0.90 rad/s?. (a) Find the angle through which the part rotates before reaching this final speed. rad (b) In general, if both the initial and final angular speed are doubled at the same angular acceleration, by what factor is the angular displacement changed? Why? Hint: Look at the form of the equation w? = w? + 2a48.

A vertical wheel with a diameter of 50 cm starts from rest and rotates with a constant angular acceleration of 5.0 rad/s2 around a fixed axis through its center counterclockwise. (a) Where is the point that is initially at the bottom of the wheel at t = 10 s? (b) What is the point’s linear acceleration at this instant?

A wheel starts from rest and rotates with constant angular acceleration to reach an angular speed of 12.0rad/s in 3.00s. Find (a) the magnitude of the angular acceleration

A figure skater is spinning with an angular velocity of 16 rad/s. She thencomes to a stop over a brief period of time. During this time, her angular displacement is 5 rev. Determine(a) her average angular acceleration and(b) the time during which she comes to rest.

A thin rod (length mass of the rod may be ignored, compared to the mass of the object fixed to the top of the rod. The rod, starting from rest, tips over and rotates downward. (a) What is the angular speed of the rod just before it strikes the floor? (Hint: Consider using the principle of conservation of mechanical energy.)(b) What is the magnitude of the angular acceleration of the rod just before it strikes the floor? 3.00 m) is oriented vertically, with its bottom end attached to the floor by means of a frictionless hinge. The (a) NumberT465.9 Units T m/s Units (b) Number|2.55 [rad/s