Trigonometric Function Homework: Satellite Orbit Calculations

AI Thread Summary
The satellite's orbit is modeled by the function H(t)= 350 sin 28∏(t-25) + 400, with time measured in days. The period of the satellite's orbit is calculated to be 1/14 days, leading to the conclusion that it completes 14 orbits per day. A participant mistakenly confused minutes with seconds while calculating the number of orbits, leading to a discrepancy with the answer key. This error was acknowledged and corrected, highlighting the importance of careful unit conversion in calculations. Overall, the discussion emphasizes the need for attention to detail in mathematical problem-solving.
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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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