Computer Systems: A Programmer's Perspective (3rd Edition)
Computer Systems: A Programmer's Perspective (3rd Edition)
3rd Edition
ISBN: 9780134092669
Author: Bryant, Randal E. Bryant, David R. O'Hallaron, David R., Randal E.; O'Hallaron, Bryant/O'hallaron
Publisher: PEARSON
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Chapter 6, Problem 6.22HW
Program Plan Intro

Given Information:

A rotating disk in which number of bits per track is constant is given.

Expert Solution & Answer
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Explanation of Solution

Capacity of disk:

It is given that there is a rotating disk whose number of bits per track is constant. It is assumed that:

“r” denotes the radius of the platter and “xr” determines the radius of the hole.

  • In a rotating disk, the number of bits per track will remain same which depends on the circumference of the innermost track.
  • The most inner track can also be considered as a hole and the number of bits per track will increase if the hole is large and vice versa.

Hence, according to the given information:

“r” denotes the radius of the platter and “xr” determines the radius of

In a rotating disk, the radius of platter is greater than the radius of the hole which can be written as below:

r>xrx<r/rx<1

Hence, the value of x should be less than 1 in order to maximize the capacity of the disk and the value of x ranges from “0<x<1”.

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