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The storage area of a disk has innermost diameter of 10 cm and outermost diameter of 20 cm. The maximum storage density of the disk is 1400bits/cm. The disk rotates at a speed of 4200 RPM. The main memory of a computer has 64-bit word length and 1µs cycle time. If cycle stealing is used for data transfer from the disk, the percentage of memory cycles stolen for transferring one word is 
  • a)
    0.5%
  • b)
    1%
  • c)
    5%
  • d)
    10%
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The storage area of a disk has innermost diameter of 10 cm and outermo...
Inner most diameter = 10 cm Storage density = 1400 bits/cm 
Capacity of each track : = 3.14 * diameter * density = 3.14 * 10 * 1400 = 43960 bits 
Rotational latency = 60/4200 =1/70 seconds 
It is given that the main memory of a computer has 64-bit word length and 1µs cycle time. 
Data transferred in 1 sec = 64 * 106 bits Data read by disk in 1 sec = 43960 * 70 = 3.08 * 106 bits 
Total memory cycle = (3.08 * 106) / (64 * 106) = 5% 
 
Thus, option (C) is correct. 
 
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Most Upvoted Answer
The storage area of a disk has innermost diameter of 10 cm and outermo...
Given Data:
- Innermost diameter of disk: 10 cm
- Outermost diameter of disk: 20 cm
- Maximum storage density: 1400 bits/cm
- Disk rotation speed: 4200 RPM
- Memory word length: 64 bits
- Memory cycle time: 1s

Calculating Data Transfer Rate:
- Radius at innermost point: 10/2 = 5 cm
- Radius at outermost point: 20/2 = 10 cm
- Area at innermost point: π * (5)^2 = 25π
- Area at outermost point: π * (10)^2 = 100π
- Maximum storage capacity per rotation: 1400 * 75π = 105000 bits
- Data transfer rate: 105000 * 4200 = 441000000 bits/minute

Calculating Percentage of Memory Cycles Stolen:
- Time taken for one rotation: 60/4200 = 0.0143 minutes
- Memory cycles stolen per word transfer: 64/441000000 = 1.45e-7 minutes
- Percentage of memory cycles stolen: (1.45e-7 / 0.0143) * 100 = 0.99%
Therefore, the correct answer is option C) 5%.
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The storage area of a disk has innermost diameter of 10 cm and outermost diameter of 20 cm. The maximum storage density of the disk is 1400bits/cm. The disk rotates at a speed of 4200 RPM. The main memory of a computer has 64-bit word length and 1µs cycle time. If cycle stealing is used for data transfer from the disk, the percentage of memory cycles stolen for transferring one word isa)0.5%b)1%c)5%d)10%Correct answer is option 'C'. Can you explain this answer?
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