Consider a merry-go-round with mass 30.00kg and radius 1.40m (the merry-go-round can be modeled as a solid cylinder). A girl exerts a tangential force of 140.00N on the very edge of the merry-go-round. Determine the angular acceleration of the merry-go-round as this force is applied. rad/s^2

Two tangential forces F1 = 25 N and F2 = 10 N are applied to the rim of a solid cylinder of radius R = 0.2 m. The cylinder starts to rotate from rest, and reaches angular speed of 50 rpm in 5 seconds. Find the mass of the cylinder.

An athlete with a mass of 62.0 kg is rotating head-over-heels in mid-air, at an angular speed of 2.00 revolutions per second, in a tucked position (that is, with arms, legs, and head pulled into a tight ball). In this position, the athlete can be modeled as a solid sphere with a radius of 0.500 m, rotating about its center. Just before landing, while still in the air, the athlete fully extends her arms and legs. In this position, she can be modeled as a long, thin rod, with a length of 1.80 m, the distance from her feet to her fingertips. The rod rotates about the center, with the axis of rotation perpendicular to the length of the rod. What is her angular speed (in revolutions per second) with her arms and legs fully extended?

A “blink of an eye” is a time interval of about 150 ms for an average adult. The “closure” portion of the blink takes only about 55 ms. Let us model the closure of the upper eyelid as uniform angular acceleration through an angular displacement of 12.2°. A) What is the value of the angular acceleration the eyelid undergoes while closing? in rad/s^2 B) What is the tangential acceleration of the edge of the eyelid while closing if the radius of the eyeball is 1.25 cm? in m/s^2

A cylinder is 0.4 m in radius and {h} m in length. Its rotational inertia, about the cylinder axis on which it is mounted, is 1.2 kg. m². A string is wound around the cylinder and pulled with a force of 4 N. The angular acceleration of the cylinder is: Answer:

What is the magnitude of the tangential acceleration of a bug on the rim of a 13.0-in.-diameter disk if the disk accelerates uniformly from rest to an angular speed of 76.0 rev/min in 5.00 s? One second after the bug starts from rest, what is the magnitude of its tangential acceleration? One second after the bug starts from rest, what is the magnitude of its centripetal acceleration?

A yo‑yo with a mass of 0.0850 kg and a rolling radius of r=1.60 cm rolls down a string with a linear acceleration of 5.20 m/s2. Calculate the tension magnitude ? in the string and the angular acceleration magnitude ? of the yo‑yo.

The blades on an electric blender are moving with an angular velocity of 296.8 radians/s. When the blend button is pressed, the blades accelerate at a constant value of 302.7 rdians/s^2. Find the angular velocity of the blades after they have moved through an angular displacement of 75.9 rad (radians) with this angular acceleration. Note the unit of radians is abbreviated as rad.

A bicycle wheel has a radius r = 0.24 m and rotates at a constant frequency of f = 74 rev/min. r = 0.24 mf = 74 rev/min Calculate the period of rotation of the wheel T in seconds.  What is the tangential speed of a point on the wheel's outer edge in m/s?

A uniform disk of radius 0.491 m and unknown mass is constrained to rotate about a perpendicular axis through its center. A ring with the same mass as the disk is attached around the disk's rim. A tangential force of 0.229 N applied at the rim causes an angular acceleration of 0.115 rad/s². Find the mass of the disk. mass of disk: 3.08 kg