Two disks $($Disk $1$ and Disk $2)$ have the same $6,000$ rotations$/$minute rotation speed. Each track of Disk

$1$ has $4,000$ sectors and each track of Disk $2$ has $8,000$ sectors$.$

$3\mathrm{.}1$ What are the average rotational latencies of the two disks?

$3\mathrm{.}2$ If $($i$)$ the average seek time of each of the disks for accessing a random track is the same as the

average rotational latency of that disk, and if $($ii$)$ the seek time for moving the R$/$W head to the

intended track is of uniform distribution, i$.$e$.$ the seek time from the best seek time $($which is $0)$ to

the worst seek time is equally likely for all possible times between best and worst, then

what is the worst access latency for accessing a sector for each of the two disks, and what is the

average access latency for accessing a random sector for each of the two disks if the average access

latency is calculated by allowing half of the average seek time to overlap with half of the average

rotational latency?

$3\mathrm{.}3$ If each of the two disks executes a read of $1,000$ consecutive sectors on the same track, what is the

expected total access latency $($or access time$)$ for each disk to read one sector of data? What is the

smallest possible disk access latency for reading one sector of data on each of the disks?