A car is traveling at a constant speed on the highway. It’s tires have a diameter of 66.0 cm and are rolling without sliding and slipping. If the angular speed of the tires is 50.0 rad/s, what is the speed of the car?

A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a vertical axle through the center of the disk. The platform has a radius of 1.06 m and a rotational inertia of 397 kg-m2 about the axis of rotation. A 72.3 kg student walks slowly from the rim of the platform toward the center. If the angular speed of the system is 2.78 rad/s when the student starts at the rim, what is the angular speed when she is 0.426 m from the center? Number i Units

A cylindrical shaped object of mass 5.0 kg and radius 0.25 m is rotating at 11 rad/s. An object is dropped so that it sticks to the cylinder at a distance of 0.10 m from the axis of rotation, and the system’s angular speed decreases to 10.5 rad/s. What is the mass of the dropped object?

The dung beetle is known as one of the strongest animals for its size, often forming balls of dung up to 10 times their own mass and rolling them to locations where they can be buried and stored as food. A typical dung ball formed by the species K. nigroaeneus has a radius of 1.95 cm and is rolled by the beetle at 6.10 cm/s.   (a) What is the rolling ball's angular speed (in rad/s)?  rad/s (b) How many full revolutions are required if the beetle rolls the ball a distance of 1.35 m?