A solid uniform sphere of mass 116 kg and radius 1.70 m starts from rest and rolls without slipping down an inclined plane of vertical height 5.97 m. What is the angular speed of the sphere at the bottom of the inclined plane? Give your answer in rad/s.

A 20cm radius turn-table is turning with a constant angular speed ω0=33rev/min .  The turn-table has a moment of inertia I=5.0kg(cm)2 relative to the axis through its center.  Call this central axis the z-axis.  A piece of sticky gum with mass m=50g falls straight down on the turn-table and sticks at a distance of 10cm from the center. What are the forces the tact on the system after the gum falls on the turn-table? Group of answer choices Weight of turn-table, Normal force on the turn-table, Weight of gum Weight of turn-table, Normal force on the turn-table, Weight of gum, Normal force on gum Weight of turn-table, Weight of gum Weight of gum   What can you say about the net torque relative to the axis of rotation, after the gum falls on the turn-table?   Group of answer choices there is a torque of 0.049 kg m2/s2, in the z direction there is a torque of 0.098 kg m2/s2, in the z direction there is no net torque in the z direction   What is the angular momentum…

A CD with a diameter of 12.0 cm starts from rest and with a constant angular acceleration of 1.0 rad/sec2 acquires an angular velocity of 5.0 rad/sec. The CD continues rotating at 5.0 rad/sec for 15.0 seconds and then slows to a stop in 12.0 second with a constant angular acceleration. What is the radial acceleration of a point 4.0 cm from the center at the time 15.0 seconds from the start?

Starting from rest, a disk rotates about its central axis with constant angular acceleration. In 5.00 s, it rotates 20.7 rad. During that time, what are the magnitudes of (a) the angular acceleration and (b) the average angular velocity? (c) What is the instantaneous angular velocity of the disk at the end of the 5.00 s? (d) With the angular acceleration unchanged, through what additional angle (rad) will the disk turn during the next 5.00 s?   i need d solved

A wheel rotating about a fixed axis with a constant angular acceleration of 2.0 rad/s starts from rest at t = 0. The wheel has a diameter of 20 cm. What is the magnitude of the total linear acceleration of a point on the outer edge of the wheel at t = 0.60 s?

A playground carousel is rotating counterclockwise about its center on frictionless bearings. A person standing still on the ground grabs onto one of the bars on the carousel very close to its outer edge and climbs aboard. Thus, this person begins with an angular speed of zero and ends up with a nonzero angular speed, which means that he underwent a counterclockwise angular acceleration. The carousel has a radius of 1.69 m, an initial angular speed of 3.27 rad/s, and a moment of inertia of 126 kg-m². The mass of the person is 44.1 kg. Find the final angular speed of the carousel after the person climbs aboard.

A playground carousel is rotating counterclockwise about its center on frictionless bearings. A person standing still on the ground grabs onto one of the bars on the carousel very close to its outer edge and climbs aboard. Thus, this person begins with an angular speed of zero and ends up with a nonzero angular speed, which means that he underwent a counterclockwise angular acceleration. The carousel has a radius of 1.62 m, an initial angular speed of 3.21 rad/s, and a moment of inertia of 128 kg·m2. The mass of the person is 41.9 kg. Find the final angular speed of the carousel after the person climbs aboard.

A car tire (hoop) has a mass of 35 kg and a radius of 0.43 m. The tire is released from rest at the top of a hill and it rolls without slipping to the bottom. “Rolls without slipping” means that the linear velocity of the center of mass is equal to the tangential velocity at the edge of the tire. Once the tire reaches the bottom of the hill it will have dropped by 10 m in vertical height. The final angular velocity ?ω of the tire at the bottom of the hill is Answer ????rads.

Starting from rest, a disk rotates about its central axis with constant angular acceleration. In 8.00 s, it rotates 12.5 rad. During that time, what are the magnitudes of (a) the angular acceleration and (b) the average angular velocity? (c) What is the instantaneous angular velocity of the disk at the end of the 8.00 s? (d) With the angular acceleration unchanged, through what additional angle (rad) will the disk turn during the next 8.00 s? (a) Number i (b) Number (c) Number (d) Number i Units Units Units Units ION

A wheel with a radius of 0.70m is initially at rest upon the level ground. It begins to roll without slipping under a constant angular acceleration of 2.32 rad/s^2. After rolling a distance of 21.8m what is the linear speed of the wheel?