If one looks down at a counterclockwise spinning disk of diameter 8.0 m that is

Question

If one looks down at a counterclockwise spinning disk of diameter 8.0 m that is spinning at 1.5 rev/min, the center of the disk is at the origin of an x-y axis with +y (North) and +x (East). a) (5 points) Find the speed of a point on the edge (or rim) of the disk. ___________________ b) (5 points) If a point is on the edge and due east determine the position vector of the point in component form (i's and j's). ___________________________________ c) (5 points) Determine the centripetal force of a 30 kg child at the point in b) in component form. _________________________________ d) (5 points) If the table moves the child to due South on the rimdetermine the change in the centripetal acceleration of the child in component form. _________________________________ e) (5 points) What is the average velocity of the child in component form as she was moved by the table from the point due east on the rim to the point due south on the rim? _________________________________

Explanation / Answer

The total kinetic energy is the sum of linear kinetic energy and rotational kinetic energy. so use the relation KE = mv^2/2 + Iw^2/2 I = mr^2/2 and w = v/r so KE = mv^2/2 + mr^2/2(v/r)^2/2 = mv2 Just be sure the moment of inertia of a disk.

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