Consider a disk with the following characteristics: block size B $=128$ bytes; number of blocks per

track $=40$; number of tracks per surface $=800.$ A disk pack consists of $25$ double$-$sided disks.

$($Assume $1$ block $=2$ sector$)$

a$.$ What is the total capacity of a track?

b$.$ How many cylinders are there?

c$.$ What is the total capacity of a cylinder?

d$.$ What is the total capacity of the disk?

e$.$ Suppose that the disk drive rotates the disk pack at a speed of $4200$ rpm $($revolutions per minute$)$;

i$.$ what is the transfer rate $($tr$)$ in bytes$/$msec$?$

ii$.$ What is the block transfer time $($btt$)$ in msec?

iii. What is the average rotational delay $($rd$)$ in msec?

f$.$ Suppose that the average seek time is $15$ msec. How much time does it take $($on the average$)$ in msec to locate

and transfer a single block, given its block address?

g$.$ Calculate the average time it would take to transfer $25$ random blocks, and compare this with the time it would

take to transfer $25$ consecutive blocks. Assume a seek time of $30$ msec