A 35 kg solid sphere with a radius of 0.400 m is rotating at a frequency of 0.5 Hz about an axis of rotation that passes through its center. Determine the rotational kinetic energy of the sphere.

A jewel smith wishing to buff a finished piece of jewelry attaches a buffing disk to his drill. The radius of the disk is 4.30 mm, and he operates it at 2.50  104 rad/s. (a) Determine the tangential speed, in m/s, of the rim of the disk.  m/s (b) The jeweler increases the operating speed so that the tangential speed of the rim of the disk is now 280 m/s. What is the period of rotation, in seconds, of the disk now?  s

A ball of mass M = 1.30 kg and radius r = 4.50 cm is attached to one end of a thin, cylindrical rod of length L = 14.0 cm and mass m = 0.880 kg. The ball and rod, initially at rest in a vertical position and free to rotate around the axis shown in the figure below, are nudged into motion. L m M (a) What is the rotational kinetic energy of the system when the ball and rod reach a horizontal position? J (b) What is the angular speed of the ball and rod when they reach a horizontal position? rad/s V(c) Vfreefall (c) What is the linear speed of the center of mass of the ball when the ball and rod reach a horizontal position? m/s (d) What is the ratio of the speed found in part (c) to the speed of a ball that falls freely through the same distance?

1. A uniform bar of length 60 cm and mass 2 kg, freely rotating around a frictionless hinge, is released from rest in its horizontal position. Calculate by conservation of mechanical energy the angular speed of the bar when it is in a vertical position. (Picture) 2. A polishing stone in the shape of a disc of mass 1.5 kg and radius 8 cm, rotates at 600 rpm. The motor that makes it turn is disconnected, keeping an ax on its surface for 10 s, until it stops. What is the angular acceleration of the buffing stone?

A jewel smith wishing to buff a finished piece of jewelry attaches a buffing disk to his drill. The radius of the disk is 4.10 mm, and he operates it at 2.25  104 rad/s. (a) Determine the tangential speed, in m/s, of the rim of the disk.  m/s (b) The jeweler increases the operating speed so that the tangential speed of the rim of the disk is now 285 m/s. What is the period of rotation, in seconds, of the disk now?  s

A uniform disk of radius 0.507 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 0.243 N applied at the rim causes an angular acceleration of 0.117 rad/s^2. Find the mass of the disk.

Your answer is partially correct. Calculate the rotational inertia of a wheel that has a kinetic energy of 18.5 kJ when rotating at 207 rev/min. Number i 0.863 Units kg-m^2

A 2.25 kg solid, uniform disk rolls without slipping across a level surface, translating at 4.00 m/s. If the disk's radius is 0.500 m, find the following. HINT (a) the disk's translational kinetic energy (in J) (b) the disk's rotational kinetic energy (in J)

A jewel smith wishing to buff a finished piece of jewelry attaches a buffing disk to his drill. The radius of the disk is 3.60 mm and he operates it at 2.25 x 10 rad/s (a) Determine the tangential speed of the rim of the disk. 181 m/s (b) The jeweler increases the operating speed so that the tangential speed of the rim of the disk is now 285 m/s. What is the period of rotation of the disk now? 7.94e-5x Your answer cannot be understood or graded. More Information s