A storage array advertises a sustained write throughput of 500 MB/s. If an application needs to write 1 TB of data, theoretically, what is the minimum time required to complete the... A storage array advertises a sustained write throughput of 500 MB/s. If an application needs to write 1 TB of data, theoretically, what is the minimum time required to complete the write operation, assuming ideal conditions and no overhead? Read more

Steps to Solve

1. Convert TB to MB

Since 1 TB (Terabyte) is equal to 1024 GB (Gigabytes), and 1 GB is equal to 1024 MB (Megabytes), we can convert TB to MB using the following conversion:

$1 \text{ TB} = 1024 \text{ GB} \times 1024 \text{ MB/GB} = 1024^2 \text{ MB}$

Therefore, $1 \text{ TB} = 1,048,576 \text{ MB}$

2. Calculate the time to write the data

To find the time required to write 1 TB of data at a sustained write throughput of 500 MB/s, we divide the total data size in MB by the write speed in MB/s:

$\text{Time} = \frac{\text{Total Data Size}}{\text{Write Throughput}}$

$\text{Time} = \frac{1,048,576 \text{ MB}}{500 \text{ MB/s}}$

$\text{Time} = 2097.152 \text{ seconds}$

3. Convert seconds to minutes

To convert the time from seconds to minutes, we divide by 60:

$\text{Time in minutes} = \frac{2097.152 \text{ seconds}}{60 \text{ seconds/minute}} = 34.952533 \text{ minutes}$

4. Convert decimal minutes into seconds

To convert .952533 minutes into seconds, we multiply by 60:

$0.952533 \text{ minutes} \times 60 \text{ seconds/minute} = 57.152 \text{ seconds}$

Therefore, the total time is approximately 34 minutes and 57 seconds.