Consider a disk system with the following properties:

There are 2¹⁶ tracks on 4 double-sided platters. Each track contains 50 sectors on an average. Each page corresponds to 5 sectors. The size of each sector is 2⁸ bytes. Average seek time is 22.67 ms. Each random seek costs 1 ms to set up.

(a) How many tracks can the arm assembly sweep over in 1 ms?

(b) Suppose the time to write 1 page of data is 0.8 ms. What is the approximate revolution rate of the disk in rpm (i.e., revolutions per minute)?

(c) Estimate the total disk capacity in bytes.

Solutions with workings please thanks!