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Question

A hard disk has a rotational speed 6000 rpm. Its average latency time is

The correct answer is

5 × 10-3 sec

Understanding Hard Disk Average Latency

Average latency time in a hard disk is the average time it takes for the read/write head to reach the desired sector on the disk once the seek operation (moving the head to the correct track) is complete. This time is directly related to the disk's rotational speed.

The disk is constantly spinning. Once the head is on the correct track, it has to wait for the desired sector to rotate under the head. On average, this wait time is half of one full rotation.

Calculating Average Latency Time

To calculate the average latency time, we first need to find the time it takes for one full rotation of the hard disk. We are given the rotational speed in revolutions per minute (rpm).

  • Given rotational speed = 6000 rpm

Let's convert the speed from revolutions per minute to revolutions per second:

Speed in revolutions per second = Speed in rpm 60 \text{Speed in revolutions per second} = \frac{\text{Speed in rpm}}{60}

Speed in rps = 6000 60 = 100 revolutions per second \text{Speed in rps} = \frac{6000}{60} = 100 \text{ revolutions per second}

Now, the time taken for one full rotation is the reciprocal of the speed in revolutions per second:

Time per rotation = 1 Speed in rps \text{Time per rotation} = \frac{1}{\text{Speed in rps}}

Time per rotation = 1 100 seconds = 0.01 seconds \text{Time per rotation} = \frac{1}{100} \text{ seconds} = 0.01 \text{ seconds}

The average latency time is half of the time per rotation:

Average Latency = Time per rotation 2 \text{Average Latency} = \frac{\text{Time per rotation}}{2}

Average Latency = 0.01 2 seconds = 0.005 seconds \text{Average Latency} = \frac{0.01}{2} \text{ seconds} = 0.005 \text{ seconds}

Converting 0.005 seconds to scientific notation gives $5 \times 10^{-3}$ seconds.

Comparing with Options

Let's look at the given options:

Option Value In Decimal
1 $5 \times 10^{-3}$ sec 0.005 sec
2 0.05 sec 0.05 sec
3 1 sec 1 sec
4 0.5 sec 0.5 sec

Our calculated average latency time of 0.005 seconds matches the value in Option 1.

Revision Table: Hard Disk Performance Metrics

Metric Description Affected By
Seek Time Time to move read/write head to the correct track. Head movement mechanism, distance moved.
Rotational Latency (Average) Average time for the desired sector to rotate under the head. Half of the time for one rotation. Rotational speed (RPM).
Transfer Time Time to transfer the data from the sector once accessed. Data transfer rate, amount of data.
Access Time Total time to read or write data. Sum of Seek Time, Average Latency, and Transfer Time. All of the above.

Additional Information: Factors Affecting Hard Disk Speed

The overall speed and performance of a hard disk drive (HDD) are influenced by several factors:

  • Rotational Speed (RPM): Higher RPM means faster rotation, leading to lower average latency. Common speeds include 5400 rpm, 7200 rpm, 10000 rpm, and 15000 rpm.
  • Seek Time: How quickly the read/write heads can move between tracks. Faster head mechanisms result in lower seek times.
  • Data Transfer Rate: How quickly data can be read from or written to the disk surface once the head is in position. This depends on the density of data on the tracks (areal density) and the rotational speed.
  • Cache/Buffer Size: A built-in memory buffer on the hard drive can store frequently accessed data or data waiting to be written, speeding up operations.
  • Interface Speed: The speed of the connection interface (e.g., SATA, SAS) between the hard drive and the computer also affects how quickly data can be transferred.

Understanding these metrics helps in evaluating the performance characteristics of different hard drives.

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