Trigonometric Function Homework: Satellite Orbit Calculations

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Homework Help Overview

The discussion revolves around a problem involving the modeling of a satellite's orbit using a trigonometric function. Participants are examining the period of the satellite's motion and the calculations related to its orbital frequency.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the calculation of the satellite's orbital period and the number of orbits per day. There is a question regarding the conversion of time units, specifically the use of minutes and seconds in the calculations.

Discussion Status

The conversation includes attempts to clarify the calculations and assumptions regarding time conversions. Some participants express realization of errors in their reasoning, while others provide supportive comments without reaching a consensus on the final calculations.

Contextual Notes

There is a noted confusion between minutes and seconds in the calculations, which may affect the understanding of the problem. The original poster's reference to the answer key indicates there may be discrepancies in the expected results.

zaddyzad
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Homework Statement



A satellite follows a path that may be modeled by the function H(t)= 350 sin 28∏(t-25) + 400

Time is measured in days.

Homework Equations





The Attempt at a Solution



A) Determine the period of the satellite: 2∏*1/28∏ = 1/14 days
B) How many minutes will it take the satellite to orbit earth: ?
C) How many orbits per day will the satellite make?: 14 times in 1 day


Shouldn't the answer to C be (3600*24)*(1/14) ? This doesn't match the answer key.
 
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Where did the 3600 come from?
 
3600 mins in an hour
 
zaddyzad said:
3600 mins in an hour

You're confusing mins with seconds.
 
wowzers what a brain fart. Thank you, couldn't happen to find that super simple mistake myself.
 
How embarrassing haha.
 
zaddyzad said:
wowzers what a brain fart. Thank you, couldn't happen to find that super simple mistake myself.

An honest mistake :biggrin:
 

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