Consider a hard disk drive with $3$ platters. Each platter has two recording surfaces $($top and bottom$).$ Each surface has $100,000$ tracks and each track holds $2000$ sectors of $4$K bytes each. The disk rotates at $10,000$ RPM$.$ Assume the disk has a data transfer bandwidth of $100$MB$/$sec$.$ Note that a block is the unit of data transfer between disk and main memory. Each block may contain a number of sectors$.$ Here we assume there is only one sector per block. $($Note also that traditionally the sector size is $512$ bytes, although $4$KB is now more commonly used.$)$ In addition, we assume that the time it takes the head to move n tracks is $1+0\mathrm{.}0001$n milliseconds.