Simple harmonic motion rise and fall of water

Click For Summary
SUMMARY

The discussion focuses on the simple harmonic motion of water in a harbor, specifically analyzing the rise and fall of water levels between 5.0 m at low tide and 9.0 m at high tide, with a period of 12 hours. The ship requires a minimum depth of 6.0 m to enter the harbor. To determine how long the ship must wait, it is established that the tide must rise 1 m from the lowest position before the ship can safely enter.

PREREQUISITES
  • Understanding of simple harmonic motion principles
  • Knowledge of tidal mechanics and amplitude calculation
  • Familiarity with oscillation time periods
  • Basic algebra for solving equations
NEXT STEPS
  • Study the mathematical modeling of simple harmonic motion
  • Learn about tidal patterns and their effects on navigation
  • Explore the physics of oscillations and their applications
  • Investigate the impact of tidal changes on marine operations
USEFUL FOR

Students studying physics, marine engineers, and anyone involved in harbor operations or tidal analysis.

thereddevils
Messages
436
Reaction score
0

Homework Statement



The rise and fall of water in a harbour is simple harmonic. The depth of water varies between 5.0 m at low tide and 9.0 m at high tide. The time between sucessive low tides is 12 hours. A ship, which requires a minimum depth of 6.0 m approaches the harbour at low tide, how long the ship has to wait before entering the harbour?

Homework Equations





The Attempt at a Solution



A hint to start?
 
Physics news on Phys.org
The time period of oscillations is given to you as 12hrs, the amplitude is (9-5)/2 = 2 meters, now for the tide to be at least 6m (minimum need for ship to pass), your oscillator must be 1m away from the lowest position moving toward the center.
 
Shivpal said:
The time period of oscillations is given to you as 12hrs, the amplitude is (9-5)/2 = 2 meters, now for the tide to be at least 6m (minimum need for ship to pass), your oscillator must be 1m away from the lowest position moving toward the center.

Thanks Shivpal, but i don get the meaning of this sentence.

'your oscillator must be 1m away from the lowest position moving toward the center.'
 
thereddevils said:
Thanks Shivpal, but i don get the meaning of this sentence.

'your oscillator must be 1m away from the lowest position moving toward the center.'


Never mind, i got it.
 

Similar threads

Replies
5
Views
1K
Replies
16
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 21 ·
Replies
21
Views
3K