A disk with a diameter of 0.04 m is spinning with a constant velocity about an a

Question

A disk with a diameter of 0.04 m is spinning with a constant velocity about an axle perpendicular to the disk    and running through its center.   

1) How many revolutions per second would it have to rotate      in order for the acceleration      of the outer edge of the disk to      be 15 g's (i.e., 15 times the gravitational acceleration g)?        

f = _________ rev/sec

2) For the frequency determined in part (a), what is the speed of a point half way between      the axis of rotation and the edge of the disk?       

v1/2 = ________ m/sec

3) At this same frequency, what is the period of rotation of this      "halfway point"?       

T = ___________ s

4) How long does it take a point on the edge of the disk to      travel 1 km?       

T1000 = ___________ s

5) Suppose we double the diameter of the disk.  We still want the same       15 g acceleration at the outer edge.  Let f2 be      the number of revolutions per second needed to get that acceleration.      What is the ratio R = f2/f, where f is your answer      to part (a)?  Answer according to the following key:       

R = _______________

Explanation / Answer

(a) a = r?

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