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In a hard drive design, the faster the disk spins, the faster the information can be read from and written to the disk. In general, the more information to be stored on the disk, the larger the diameter of the disk must be. Unfortunately, the larger the disk, the lower the maximum rotational speed must be to avoid stress-related failures. Assume the minimum allowable rotational speed (S) of the hard drive is 6000 revolutions per minute [rpm], and the rotational speed must meet the criterion S < 12,000 – 150 D2, where D is the diameter of the disk in inches.
- a. Create a proper plot of these two inequalities with rotational speed on the ordinate and diameter on the abscissa. The values on the vertical axis should range from 0 to 12,000 rpm, and the values on the horizontal axis should range from 0 to 7 inches.
- b. If graphing part (a) by hand, shade the region of the graph where both inequalities are satisfied.
- c. Graphically determine the range of allowable rotational speeds for a 4-inch-diameter disk. Indicate the location of this answer on your graph.
- d. Graphically determine the largest diameter disk that meets the design criteria. Indicate the location of this answer on your graph.
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