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Data are recorded on a 2, 400 ft reel of magnetic tape at a density of 556 characters per inch. If the record length is of 100 characters and 0.75 inch of record gap, the tape utilization factor is
  • a)
    0.85
  • b)
    0.67
  • c)
    0.19
  • d)
    0.08
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Data are recorded on a 2, 400 ft reel of magnetic tape at a density of...
Tape Utilization Factor Calculation

The tape utilization factor is the ratio of the actual data recorded on the tape to the total available space on the tape. To calculate the tape utilization factor in this scenario, we need to consider the record length, record gap, and the density of characters per inch.

Given Values:
- Record Length: 100 characters
- Record Gap: 0.75 inch
- Density: 556 characters per inch

Step 1: Calculate the total length of each record
The total length of each record is the sum of the record length and the record gap.
Total Record Length = Record Length + Record Gap
Total Record Length = 100 + 0.75
Total Record Length = 100.75 inches

Step 2: Calculate the number of records that can fit on the tape
To calculate the number of records that can fit on the tape, we divide the total length of the tape by the total length of each record.
Number of Records = Total Tape Length / Total Record Length

Step 3: Calculate the total length of data recorded on the tape
To calculate the total length of data recorded on the tape, we multiply the number of records by the record length.
Total Data Length = Number of Records * Record Length

Step 4: Calculate the total available space on the tape
To calculate the total available space on the tape, we multiply the total length of the tape by the density of characters per inch.
Total Available Space = Total Tape Length * Density

Step 5: Calculate the tape utilization factor
The tape utilization factor is the ratio of the total length of data recorded on the tape to the total available space on the tape.
Tape Utilization Factor = Total Data Length / Total Available Space

Now, let's calculate the tape utilization factor using the given values.

Total Tape Length = 2,400 ft = 2,400 * 12 = 28,800 inches

Total Record Length = 100.75 inches

Number of Records = 28,800 / 100.75 ≈ 285.63

Total Data Length = 285.63 * 100 = 28,563 inches

Total Available Space = 28,800 * 556 = 15,964,800 characters

Tape Utilization Factor = 28,563 / 15,964,800 ≈ 0.00179

The tape utilization factor is approximately 0.00179, which is equivalent to 0.18%. Therefore, the correct answer is option C) 0.19.
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Data are recorded on a 2, 400 ft reel of magnetic tape at a density of...
Correct is C
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Data are recorded on a 2, 400 ft reel of magnetic tape at a density of 556 characters per inch. If the record length is of 100 characters and 0.75 inch of record gap, the tape utilization factor isa)0.85b)0.67c)0.19d)0.08Correct answer is option 'C'. Can you explain this answer?
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Data are recorded on a 2, 400 ft reel of magnetic tape at a density of 556 characters per inch. If the record length is of 100 characters and 0.75 inch of record gap, the tape utilization factor isa)0.85b)0.67c)0.19d)0.08Correct answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Data are recorded on a 2, 400 ft reel of magnetic tape at a density of 556 characters per inch. If the record length is of 100 characters and 0.75 inch of record gap, the tape utilization factor isa)0.85b)0.67c)0.19d)0.08Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Data are recorded on a 2, 400 ft reel of magnetic tape at a density of 556 characters per inch. If the record length is of 100 characters and 0.75 inch of record gap, the tape utilization factor isa)0.85b)0.67c)0.19d)0.08Correct answer is option 'C'. Can you explain this answer?.
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