5. A girl with a mass of 35.0 kg rides on a merry-go-round and unlike in many sadistic physics problems, she does not get thrown off. The merry-go-round can be approxi- mated as a disk of radius equal to 2.50 m and a mass of 95.0 kg. With the girl riding on its very edge (i.e., 2.50 m from the center), the angular speed of the merry-go-round is 2.25 radians/s. What will the angular speed be if she moves to the center of the merry-go-round (i.e., her distance from the center will then be zero)? Recall that the moment of inertia of a disk is I = MR².

Jupiter rotates about its axis once every 9 hours 55 minutes. a. What is Jupiter's angular speed of rotation? b. What is the effect of this rapid rotation on the shape of theplanet?

A wheel is rotating about a fixed axis with constant angular acceleration 3 rad/s2. At different moments, its angular speed is 2 rad/s, 0. and +2 rad/s. For a point on the rim of the wheel, consider at these moments the magnitude of the tangential component of acceleration and the magnitude of the radial component of acceleration. Rank the following five items from largest to smallest: (a) |at| when = 2 rad/s, (b)|ar| when = 2 rad/s, (c)|ar| when = 0, (d) |at| when = 2 rad/s, and (e) |ar| when = 2 rad/s. If two items are equal, show them as equal in your ranking. If a quantity is equal to zero, show that fact in your ranking.

The blades of a wind turbine are 30 m in length and rotate at a maximum rotation rate of 20 rev/min. (a) If the blades are 6000 kg each and the rotor assembly has three blades, calculate the angular momentum of the turbine at this rotation rate. (b) What Is the torque require to rotate the blades up to the maximum rotation rate in 5 minutes?