Finding the period of a satellite orbit from a sinusoidal function

[zaddyzad]

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.

 

[dcassell]

Where did the 3600 come from?

 

[zaddyzad]

3600 mins in an hour

 

[Mentallic]

3600 mins in an hour

You're confusing mins with seconds.

 

[zaddyzad]

wowzers what a brain fart. Thank you, couldn't happen to find that super simple mistake myself.

 

[zaddyzad]

How embarrassing haha.

 

[Mentallic]

wowzers what a brain fart. Thank you, couldn't happen to find that super simple mistake myself.

An honest mistake