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(a) Calculate the rotational kinetic energy of Earth on its axis. (b) What is the
rotational kinetic energy of Earth in its orbit around the Sun?

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12. A child and her father are playing on a spinning merry-go-round (a solid, horizontal disk). The disk is rotating at 0.400 rad/s. The disk as a mass of 200 kg and a radius of 5.00 m. The daughter (1) has a mass of 25.0 kg and is 3.00- m from the center of the disk. The father (2) has a mass of 60.0 kg and is 2.00-m from the center of the disk. a) The father moves to the outer edge of the disk, while the daughter moves inward until she is 1.00 m from the center. What is the new angular speed of the disk?
Thank you. Shouldn't rotational kinetic energy be used, though, for part (b)?
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Our Sun has a radius of about 695,800 km and a mass of about 2.0 × 1030 kg, and rotates around its axis about once every 29 days.Calculate the rotational velocity of the Sun.Calculate the linear speed of particles on the outermost portion of the Sun.Calculate the angular acceleration, tangential acceleration, and radial acceleration of the Sun.Calculate the rotational (angular) momentum of the Sun, modeled as a uniform solid sphere. The rotational inertia of a solid sphere is (2/5)MR2.Imagine that without any external objects interacting with it, the Sun were to collapse to the size of a neutron star, with a radius of about 15 km–about the size of Manhattan Island.What would be its rotational inertia when it was finished collapsing?What would be its rotational momentum when it was finished collapsing?In what time interval would the Sun complete one rotation around its axis after it was finished collapsing