• Support PF! Buy your school textbooks, materials and every day products Here!

Ocean Tide Trig

  • #1

Homework Statement



The function h(t) = 5 sin (30(t+3)) is used to model the height of tides. On a different day, the maximum height is the minimum height is -8 and high tide occurs at 5:30am.
Modify function so it matches new data.

Homework Equations




The Attempt at a Solution


Answer: h(t) = 8 sin (30(t-2.5))

I know how to get the 8 b/c (8-(-8))/2 = 8

But I don't understand where the 2.5 comes from?
 

Answers and Replies

  • #2
haruspex
Science Advisor
Homework Helper
Insights Author
Gold Member
32,776
5,048

Homework Statement



The function h(t) = 5 sin (30(t+3)) is used to model the height of tides. On a different day, the maximum height is the minimum height is -8 and high tide occurs at 5:30am.
Modify function so it matches new data.

Homework Equations




The Attempt at a Solution


Answer: h(t) = 8 sin (30(t-2.5))

I know how to get the 8 b/c (8-(-8))/2 = 8

But I don't understand where the 2.5 comes from?
This will become clear from the resolution of the other thread, which is essentially the same question.
Do you understand where the 30 comes from? (It really should be more like 29.)
 
  • #3
This will become clear from the resolution of the other thread, which is essentially the same question.
Do you understand where the 30 comes from? (It really should be more like 29.)
You take 360 divide it by the period then get k value?
 
  • #4
haruspex
Science Advisor
Homework Helper
Insights Author
Gold Member
32,776
5,048
You take 360 divide it by the period then get k value?
Yes. What is the period in this case?
 
  • #5
Yes. What is the period in this case?
The period is 12.
 
  • #6
haruspex
Science Advisor
Homework Helper
Insights Author
Gold Member
32,776
5,048
  • #7

Related Threads on Ocean Tide Trig

  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
5
Views
558
Replies
14
Views
2K
Replies
4
Views
1K
  • Last Post
Replies
5
Views
745
Replies
5
Views
948
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
7
Views
2K
  • Last Post
Replies
1
Views
980
  • Last Post
Replies
9
Views
3K
Top