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Solutions needed a,b,c and d Consider a disk with the following characteristics

ID: 450845 • Letter: S

Question

Solutions needed a,b,c and d

Consider a disk with the following characteristics (these are not parameters of any particular disk unit): block size B = 512 bytes; interblock gap size G - 128 bytes; number of blocks per track = 20; number of tracks per surface - 400. A disk pack consists of 15 double-sided disks. What is the total capacity of a track, and what is its useful capacity (excluding interblock gaps)? How many cylinders are there? What are the total capacity and the useful capacity of a cylinder? What are the total capacity and the useful capacity of a disk pack? Suppose that the disk drive rotates the disk pack at a speed of 2,400 rpm (revolutions per minute); what are the transfer rate (tr) in bytes/msec and the block transfer time (btt) in msec? What is the average rotational delay (rd) in msec? What is the bulk transfer rate? (See Appendix B.)

Explanation / Answer

a)  What is the total capacity of a track and what is its useful capacity (excluding interblock gaps)?

Total capacity of a track = no of blocks per track * (block size + interblock gap size)

= 20 * (512+128) = 12,800 bytes

Useful capacity = no of blocks * block size

= 20 * 512 = 10240 bytes

b)  How many cylinders are there?

No of cylinders = No of tracks = 400

c) What are the total capacity and the useful capacity of a cylinder?

Total cylinder capacity = Total capacity of the track * no of disks in pack

no of disks in pack =  15 double sided disks = 15* 2= 30

Total cylinder capacity = 20 * (512+128) * 15*2

= 384000 bytes

USeful cylinder capacity = 20 * 512 * 15*2

= 307200bytes

d) What are the total capacity and the useful capacity of a disk pack?

Total capacity of the disk pack = 15*2*20*400*(512+128)

= 15,36,00,000 bytes

Useful capacity of the disk pack = 15*2*20*400*512

= 12,28,80,000bytes

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