2: A solid sphere of radius 25 cm and mass 25 kg rotates about an axis through its center. Calculate its moment of inertia, if its angular velocity changes from 2 rad/s / s to 12 rad/s in 5 second. Also calculate the torque applied.
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- Multiple concept problem: A bike wheel having a moment of inertia of 0.09 kg-m2 has an initial angular speed of 3 rev/s and gradually comes to rest due to a frictional force. The frictional force is caused by a torque of 1.0 N-m. Assuming the angular deceleration remains constant during the entire period, determine how much time it would require for the wheel to come to a stop.3. A disk accelerates from rest to an angular velocity of 600 rad/s in 3.0 s. (a) What constant angular acceleration does it have? (b) How many revolutions did you make in that time?A spherical shell with a mass of 1.43 kg and a radius of 0.39 m is rolling across the level ground with an initial angular velocity of 35.9 rad/s. It is slowing at an angular rate of 2.6 rad/s². What is its rotational kinetic energy after 4.7 s? The moment of inertia of a spherical shell is I = 글MR2
- A spherical shell with a mass of 1.6 kg and a radius of 0.35 m is rolling across the level ground with an initial angular velocity of 37.7 rad/s. It is slowing at an angular rate of 4 rad/s². What is its rotational kinetic energy after 4.4 s? The moment of inertia of a spherical shell is I = MR²9. A figure skater with outstretched arms spins with an initial rotation rate of 1.0 rev every 1.2 s. She can increase her rotation speed by bringing her arms close to her body. Suppose her final rotation rate is 3.0 rev every 1.2 s. Find her moment of inertia with her arms close to her body if her moment of inertia with outstretched arms is 5.0 kg-m?. (Answer: I = 1.7 kg · m²)19. A wheel 1.00 m in radius is rotating at 100 rad/s. The wheel accelerates uniformly from 100 rad/s to 500 rad/s in 100 revolutions. Determine the Rate of angular acceleration Time required for the wheel to accelerate to 500 radians per second Tangential acceleration of a point on the rim as the wheel is accelerating Radial acceleration of a point on the rim before acceleration begins
- 6. Two disks are rotating about the same axis. Disk A has a moment of inertia of 4.00 kg.m2 and an angular velocity of +6.80 rad/s. Disk B is rotating with an angular velocity of -11.8 rad/s. The two disks are then linked together without the aid of any external torques, so that they rotate as a single unit with an angular velocity of -2.50 rad/s. The axis of rotation for this unit is the same as that for the separate disks. What is the moment of inertia of disk B? kg.m2 kpl kp13 136 skp11. The angular acceleration of a rotating wheel is given by a=-0.1o2 rad/s, and the wheel's initial angular velocity is wn = 25 rad/s at t= 0. Determine the time t when the wheel's angular velocity is reduced to o = 4 rad/s.