How Long Does a Call Take Between Quito and Belem via Satellite?

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Homework Help Overview

The problem involves calculating the time it takes for a telephone call to be transmitted via a satellite between Quito, Ecuador, and Belem, Brazil. The context includes the satellite's altitude and the distance between the two cities, which are nearly on the equator.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relevance of the speed of light and the geometry involved in the problem. There is mention of drawing a diagram to visualize the situation and compute necessary lengths.

Discussion Status

Some participants have provided guidance on the geometric aspects of the problem and the importance of the speed of light. There is an acknowledgment of the need to clarify the relationship between the satellite's position and the cities.

Contextual Notes

Participants note the assumption of ignoring the curvature of the Earth and the potential relevance of a geosynchronous orbit for the satellite.

osustudent2010
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I've got a question I'm working on:


A communications satellite is in an orbit that is 3.2 X 10^7 m directly above the equator. Consider the moment when the satellite is located midway between Quito, Equador, and Belem, Brazil; two cities almost on the equator that are separated by a distance of 3.7 X 10^6 m. Find the time it takes for a telephone call to go by the way of satellite between these cities. Ignore the curvature of the earth.

-- eek! I'm not sure where to start! Is this related to the speed of light in any way?

thanks for the help!
 
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Yes, this involves the speed of light, but the main work is geometry of right triangles. Draw a picture that shows the relationship described, compute the lengths involved and proceed from there.
 
All electromagnetic waves travel at the speed of light, I'm assuming theyre talking abuot a geosynchronous orbit where the satelite is in a fixed position.
 
thanks-- all i need to to was draw a picture :)

thanks again
 

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