Ok so i need some help figuring this out. And with this problem \" show how you

Question

Ok so i need some help figuring this out. And with this problem "show how you got your answers!". Please, it will help me get it more clearly.

Given the following characteristics for a magnetic tape using linear recording as described in this chapter:

Density = 1600 bpi

Speed = 1500 inches/second

Size = 2400 feet

Start/stop time = 4 ms

Number of records to be stored = 200,000 records

Size of each record = 160 bytes

Block size = 10 logical records

IBG = 0.5 inch

Find the following:

a. Number of blocks needed

b. Size of the block in bytes

c. Time required to read one block

d. Time required to write all of the blocks.

e. Amount of tape used for data only, in inches

f. Total amount of tape used (data + IBGs), in inches

Its very important "show how you got your answers" for this problem.

Explanation / Answer

1.Number of blocks needed. C = R / B = 200,000 / 10 = 20,000 blocks.
2.Size of the block in bytes. E = B * A = 10 * 160 = 1600 bytes / block
3. Time required to read one block.
U = # bytes per inch = D * (8 tracks) * (1 byte / 8 bits) = 1600 bytes / inch

J = # of inches of tape used per block = E / U = 1 inch / block

F = H + (J/S) + H

F = H(start) + (J/S) + H(stop) = 3 ms + 5 ms + 3 ms = 11 ms
4.Time required to write all of the blocks. T = F * C = 220,000 ms = 220 s = 3 m 40 s
5.Amount of tape used for data only, in inches. V = J * C = 20,000 inches = 1666 ft 8 in
6.Total amount of tape used (data + IBGs), in inches = V + (C - 1) * G = 20,000 + 9,999.5 = 29,999.5 in = 2499 ft 11.5 in

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