Please help: A compact disk with a 12.0 cm diameter is rotating at 37.8 rad/s a. What is the linear speed of a point on its outer rim? b. What is the centripetal acceleration of a point on its outer rim?

A monkey has a 50 cm long tail swinging through circular arcs.  a. The moneky prepares to swing through a semicircular arc by grabbing a branch 50 cm in front.What is the angular acceleration as she begin to drop? b. What is the monkeys linear speed at the bottom of this arc, 50 sm below starting point? What is her angular speed? c. The monkey has a mass of 10 kg. What is the tension in her tail at the bottom of the arc?

Nilo.p A baseball bat is swung with an angular velocity of 500°/s and has a radius of 1.2m. What is the linear velocity of the baseball bat?

A large centrifuge, like the one shown in figure (a), is used to expose aspiring astronauts to accelerations similar to those experienced in rocket launches and atmospheric reentries.ac = 8.25 gd = 17.5 m At what angular velocity is the centripetal acceleration 8.25 g if the rider is 17.5 m from the center of rotation? Give your answer in rad/s. ω =The rider’s cage hangs on a pivot at the end of the arm, allowing it to swing outward during rotation as shown in figure (b). At what angle θ below the horizontal will the cage hang when the centripetal acceleration is 8.25 g? Give your answer in degrees. θ =

3. A telephone pole has been knocked over by the wind so that it makes an angle of 0 with the vertical. The wind has stopped blowing and the pole is to be cut down as shown. nail L cut Once the cut is across most of the thickness of the pole, the pole begins to tip over. As the pole tips, the bottom of the pole stays attached to the base by the remaining part of the pole that was not cut (but the torque from the base on the tipping pole is negligible). There is a nail (of negligible mass) on the pole located a distance x. The length of the pole from the cut to the top is L. Remember that the moment of inertia of a stick of mass m and length L about its end is mL?.

June started winding up her arm holding a baseball, moving it around her shoulder in a circle, to get ready to throw. June’s arm is 0.5 m long and moves at an angular velocity of 2 rad/s. How much time will 10 revolutions take? What is the velocity of the baseball when she let go of it?

A point on the rim of a 0.81 m radius rotating wheel has a centripetal acceleration of 6.9 m/s2. What is the angular velocity of a point 0.42 m from the center of the wheel?

The rotating blade of a blender turns with a constant angular acceleration 1.50(rad/s²]. A. How much time does it take to reach an angular velocity of 36. 0 [rad/s] starting from rest? Through how manry revolutions does the blade turn in this time interval? C. What are the tangertial acceleration and tangential speed of an ant sitting on the blade 10.0 [cm) from the axis of rotation during the end of this irterval? D. What is the moment of inertia ofthe ant if its mass is 10.0 (g? E. What is the rotational kinetic energy of the ant? B.

A stone in a sling is swung in a circle of radius r = 1.5 m with a constant angular velocity of ω = 15 rad/s. Please answer the following questions. 1. calculate the linear velocity of the stone in the sling. 2. calculate the magnitude of the centripital acceleration of the stone in the sling.

A merry-go-round is a common piece of playground equipment. A 5 m diameter (that's diameter) merry-go-round rotates frictionlessly. It has a mass of 166 kg and is spinning at 22 rpm (that's revolutions/minute... you will want to convert to radians/sec). John runs tangent to the merry-go-round at 2.5 m/s in the same direction that it is turning. John's mass is 27 kg. He then jumps onto the MGR and sits halfway between the outer edge and the center. A)What is the rotational inertia of the merry-go-round (consider it a disk)? B)What is the initial rotational inertia of John (consider him a point mass). C)What is the initial angular momentum, Lmgr, of the merry-go-round? (D)What is the initial angular momentum, LJ, of John? (E)What is the total initial angular momentum of the system? (F)Use Conservation of Angular Momentum to find the final angular speed of the merry-go-round?