the basic idea is that angular acceleration is first derivative of angular velocity.
17. The angular velocity of a rotating turntable is given in rad/s by w 2.7P. What...
The initial angular velocity and the angular acceleration of four rotating objects at the same instant in time are listed in the table that follows. For each of the objects (a), (b), (c), and (d), determine the final angular speed after an elapsed time of 5 s. Initial angular velocity ω0 Angular acceleration α (a) +30.0 rad/s +5.0 rad/s2 (b) +30.0 rad/s -5.0 rad/s2 (c) -30.0 rad/s +5.0 rad/s2 (d) -30.0 rad/s -5.0 rad/s2
The initial angular velocity and the angular acceleration of four rotating objects at the same instant in time are listed in the table that follows. For each of the objects (a), (b), (c), and (d), determine the final angular speed after an elapsed time of 2.2 s. Initial angular velocity ω0 Angular acceleration α (a) +15 rad/s +5.0 rad/s2 (b) +15 rad/s -5.0 rad/s2 (c) -15 rad/s +5.0 rad/s2 (d) -15 rad/s -5.0 rad/s2 (a) Final angular speed = ---Select---...
A turntable has a radius of 0.80 m and a moment of inertia of 2.0 kg m2. The turntable is rotating with an angular velocity of 1.5 rad/s about a vertical axis though its center on frictionless bearings. A very small 0.40-kg ball is projected horizontally toward the turntable axis with a velocity of 3.0 m/s. The ball is caught by a very small and very light cup-shaped mechanism on the rim of the turntable (see figure). a) What is the...
A wheel of diameter 0.3 m is rotating with an angular velocity of 3 rad/s and slowing under a constant acceleration of -3 rad/s2. Calculate everything possible about the motion, starting with, say, its angular velocity after 0.4 s.
A solid disk of 5.0 kg is rotating at a constant angular velocity of 9.5 rad/s. Calculate the angular momentum of the disk.
The instant shown, bar AB has an angular velocity of 4.5 rad/s and an angular acceleration of 2.4 rad/s2, both clockwise. 25 in. - 20 in. 20 in. - Determine the angular acceleration of bar BD by using the vector approach. (You must provide an answer before moving to the next part.) The angular acceleration of bar BD is r r ad/s2 counterclockwise.
A large barrel is rotating with an initial angular velocity of 33.4 rad/s. It starts to slow down uniformly and comes to rest, making 26.0 revolutions during the process. a) What is its angular acceleration (in rad/s2)? Show this in the uploaded file.
A large barrel is rotating with an initial angular velocity of 33.4 rad/s. It starts to slow down uniformly and comes to rest, making 26.0 revolutions during the process. a) What is its angular acceleration (in rad/s2)? Show this in the uploaded file. b) How much time (in s) does it take to come to rest? Round off to ONE decimal place. Time (s) =
10. A body rotating at the angular speed of 20 rad/s slows down to an angular spee seconds. What is the average angular acceleration? 11. A body is rotating with an angular acceleration of 2 rad/s What is the linear acceleration of a point in this body that is 2.1 m from the axis of rotation? 12. Two masses, each of mass M, are separated by a distance D. a) what is the moment of inertia, if the axis of...
Two spheres are each rotating at an angular speed of 24.6 rad/s about axes that pass through their centers. Each has a radius of 0.400 m and a mass of 1.68 kg. However, as the figure shows, one is solid and the other is a thin-walled spherical shell. Suddenly, a net external torque due to friction (magnitude = 0.330 N · m) begins to act on each sphere and slows the motion down. How long does it take (a) the...