Solve the Ship & Rope Problem: Find Time for Rope to be Wet

  • Context: Undergrad 
  • Thread starter Thread starter Chaulesh
  • Start date Start date
  • Tags Tags
    Rope Ship
Click For Summary
SUMMARY

The Ship & Rope Problem involves a boat with a height of 15 meters and a rope hanging from its deck, positioned at half the third of the boat's height, which calculates to 2.5 meters above sea level. Given that the sea level rises at a constant rate of 1.75 cm/s, the rope will not become wet as the ship rises with the sea level. The rope will remain above the rising water, ensuring it stays dry regardless of the rain.

PREREQUISITES
  • Understanding of basic geometry and height calculations
  • Knowledge of rates of change in physics
  • Familiarity with the concept of buoyancy
  • Basic mathematical skills for solving linear equations
NEXT STEPS
  • Explore buoyancy principles in maritime contexts
  • Learn about the effects of rising sea levels on marine vessels
  • Study mathematical modeling of physical problems
  • Investigate real-world applications of height and rate calculations
USEFUL FOR

Mathematicians, marine engineers, environmental scientists, and anyone interested in the effects of rising sea levels on maritime operations.

Chaulesh
Messages
3
Reaction score
0
So this one should be simple to solve with some maths.

There is a boat of height 15 metres (measured from sea-level) and there is a rope hanging from its deck so that the distance from the sea-level is half the third of the boat's height.

It is given that the sea-level is rising at the constant rate of 1.75 cm/s. After how much time will the rope be wet?
 
Mathematics news on Phys.org
As soon as it starts raining.
 
As sea level will rise, ship will also go up. The rope tied to deck will also go up and will not touch sea level.
 

Similar threads

  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 51 ·
2
Replies
51
Views
5K
  • · Replies 12 ·
Replies
12
Views
6K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 26 ·
Replies
26
Views
5K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 16 ·
Replies
16
Views
7K