How can you calculate the capacity of a Winchester disk given its density and speed? A disk has 10 recording surfaces. Each surface has 2000 tracks, each track has 512 sectors and each sector can store 1MB of data. Calculate the capacity of this disk.
Calculating the capacity of a disk involves considering several factors, including the number of recording surfaces, tracks per surface, sectors per track, and the data storage capacity of each sector. In this case, you have provided the following information:
- Number of recording surfaces: 10
- Tracks per surface: 2000
- Sectors per track: 512
- Data storage capacity per sector: 1MB
To calculate the capacity of the Winchester disk, you can use the following formula:
Capacity = Number of recording surfaces × Tracks per surface × Sectors per track × Data storage capacity per sector
Let's plug in the values and calculate:
Capacity = 10 surfaces × 2000 tracks/surface × 512 sectors/track × 1MB/sector
First, let's calculate the number of sectors in total:
Total sectors = 10 surfaces × 2000 tracks/surface × 512 sectors/track = 10,240,000 sectors
Now, let's calculate the total capacity:
Capacity = Total sectors × Data storage capacity per sector
Capacity = 10,240,000 sectors × 1MB/sector
Capacity = 10,240,000 MB
Since 1 gigabyte (GB) is equal to 1024 megabytes (MB), we can convert the capacity to GB:
Capacity in GB = 10,240,000 MB / 1024 = 10,000 GB
So, the capacity of the Winchester disk is 10,000 gigabytes or approximately 10 terabytes (TB).
The capacity of the Winchester disk is 10,000 gigabytes or 10 terabytes, given the provided information about the number of recording surfaces, tracks per surface, sectors per track, and data storage capacity per sector.
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Calculating the capacity of a storage device like a Winchester disk is a crucial aspect of understanding its potential for data storage. Let's delve a bit deeper into some of the key concepts involved:
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