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Calculate the bandwidth (bits/s) of a 747 flying across the Atlantic, loaded with CD-ROMs.

Approach / Explanation

This inquiry pertains to grasping the idea of data transmission rate, or bandwidth, in an unconventional scenario. It is a hypothetical situation where data is being transported physically. Instead of transmitting data through a network, we are loading a Boeing 747 with CD-ROMs and flying it across the Atlantic Ocean. The objective is to determine an equivalent data transmission rate expressed in bits per second (bits/s). It is crucial to note that we are not asked to evaluate the feasibility of this scenario, but rather to focus solely on the theoretical bandwidth of such an endeavor. We assume the plane departs instantly, travels straight to its destination without any delays or diversions, and the CDs can be accessed immediately upon arrival. Key factors to consider include: The storage capacity of a CD-ROM. The payload capacity of a 747 in terms of CD-ROMs. The duration of a 747's flight across the Atlantic.

Suggested Answer

To begin, the typical storage capacity of a standard CD-ROM is around 700 megabytes (MB), equivalent to 5.6 gigabits (Gb). Moving on, the payload capacity of a Boeing 747 is roughly 112 tonnes. Although the weight of a CD-ROM can differ, we will estimate it to be about 15 grams. Consequently, the aircraft can transport roughly 7,480,000 CDs. Thus, the total load of CD-ROMs on the plane can accommodate approximately 5.6 Gb * 7,480,000 = 41,928,000 gigabits, or 41.928 petabits of information. Next, we need to take into account the duration of a 747's flight across the Atlantic, which averages around 7 hours, or 25,200 seconds. Therefore, the bandwidth, calculated as the amount of data transferred over time, would be 41.928 petabits / 25,200 seconds, resulting in approximately 1.66 terabits per second.

Alternative Answer

Beginning with the numbers, a CD-ROM generally holds around 700MB or 5.6Gb of data. A Boeing 747 has the capacity to carry approximately 112 tonnes. Given that a CD-ROM weighs about 15 grams, the aircraft can accommodate roughly 7,480,000 CDs. This results in a total of 5.6Gb * 7,480,000 = 41.928 petabits of data on the plane. A transatlantic flight on a Boeing 747 takes about 7 hours, equivalent to 25,200 seconds. To determine the bandwidth, we divide the total data by the duration, yielding 41.928 petabits / 25,200 seconds = around 1.66 terabits per second.

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