Calculate the total time to read a file consisting of 10 blocks, where each block takes 5ms to read, using a disk that rotates at 7200 RPM and has an average seek time of 10ms

To calculate the total time to read a file consisting of 10 blocks, we need to account for three factors:

1. **Seek Time**: The time taken to move the disk head to the desired track.
2. **Rotational Latency**: The time the disk waits for the desired sector to rotate under the read/write head.
3. **Transfer Time**: The time taken to transfer the data (here, time to read each block).

Let's break these down:

### Given Information:
- Number of blocks: \( 10 \)
- Time to read each block: \( 5 \, \text{ms} \)
- Disk rotation speed: \( 7200 \, \text{RPM} \)
- Average seek time: \( 10 \, \text{ms} \)

### Step 1: Seek Time
The average seek time is given as \( 10 \, \text{ms} \).

### Step 2: Rotational Latency
Rotational latency is half of the time it takes for the disk to complete one full rotation. 

The disk rotates at \( 7200 \, \text{RPM} \), which is 7200 revolutions per minute. To convert this to revolutions per millisecond:
\[
7200 \, \text{RPM} = \frac{7200}{60} = 120 \, \text{RPS} \, (\text{revolutions per second})
\]
\[
\text{Time per revolution} = \frac{1}{120} \, \text{seconds} = \frac{1000}{120} \, \text{ms} \approx 8.33 \, \text{ms}
\]
The average rotational latency is half of this time:
\[
\text{Average rotational latency} = \frac{8.33}{2} \, \text{ms} \approx 4.17 \, \text{ms}
\]

### Step 3: Transfer Time
Each block takes \( 5 \, \text{ms} \) to read, and there are 10 blocks. So the total transfer time is:
\[
\text{Total transfer time} = 10 \times 5 \, \text{ms} = 50 \, \text{ms}
\]

### Step 4: Total Time
The total time includes one seek time, one rotational latency, and the time to transfer all 10 blocks. So:
\[
\text{Total time} = \text{Seek time} + \text{Rotational latency} + \text{Transfer time}
\]
\[
\text{Total time} = 10 \, \text{ms} + 4.17 \, \text{ms} + 50 \, \text{ms} \approx 64.17 \, \text{ms}
\]

Thus, the total time to read the file is approximately **64.17 ms**.

Would you like more details or have any questions?

Here are 5 related questions:
1. How would the time change if the disk rotated at 5400 RPM?
2. What is the impact of increasing the seek time on overall read performance?
3. How does rotational latency affect file reading performance?
4. What would happen if the file consisted of 100 blocks instead of 10?
5. Can caching techniques help reduce the read time?

**Tip**: Seek time and rotational latency are the two most significant contributors to disk read delays, so minimizing these can greatly improve performance.

Calculate the total time to read a file consisting of 10 blocks, where each block takes 5ms to read, using a disk that rotates at 7200 RPM and has an average seek time of 10ms.

Learn how to calculate the total time to read a file consisting of 10 blocks, each taking 5ms to read, using a disk rotating at 7200 RPM and an average seek time of 10ms. This solution covers rotational latency, seek time, and transfer time. Ideal for performance analysis in disk management.

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