Calculating Distance Between Copenhagen and Rome on Same Longitude

  • Thread starter perfectlovehe
  • Start date
  • Tags
    Longitude
In summary, the "Longitude Problem" refers to the challenge of accurately determining a ship's longitude at sea. This was a major issue for navigators and sailors in the past due to its crucial role in safe and accurate navigation. Several methods were used to solve the problem, including the lunar distance method and the use of chronometers. However, it was ultimately solved by John Harrison's invention of the marine chronometer. This highly accurate timepiece allowed sailors to determine their longitude by comparing the local time with a known reference point. While the problem is no longer relevant for sailors, it still has significance in modern times for other purposes. Additionally, understanding the history and solutions of the Longitude Problem is important for studying the development of science and technology.
  • #1
perfectlovehe
9
0
Assuming that the Earth is spherical and recalling that latitudes range from 0° at the Equator to 90° N at the North Pole, how far apart, measured on the Earth's surface, are Copenhagen (55.67° N latitude), and Rome (41.90° N latitude)? The two cities lie on approximately the same longitude. Do not neglect the curvature of the Earth in determining this distance.
1
 
Physics news on Phys.org
  • #2
Please use the correct formatting and show your attempt at this question as per PF guidelines.

Jared
 

1. What is the "Longitude Problem"?

The "Longitude Problem" refers to the challenge of accurately determining a ship's longitude at sea. This was a major issue for navigators and sailors in the past, as being off by even a few degrees could lead to disastrous consequences.

2. Why was determining longitude so important for sailors?

Knowing the longitude is crucial for sailors because it helps them determine their exact position on the Earth's surface. This is essential for safe and accurate navigation, especially during long sea voyages.

3. What methods were used to solve the Longitude Problem?

Several methods were proposed and used to solve the Longitude Problem, including the lunar distance method, the method of lunar distances, and the method of time-keeping using chronometers. However, it was eventually solved by John Harrison's invention of the marine chronometer in the 18th century.

4. How did John Harrison's chronometer solve the Longitude Problem?

John Harrison's chronometer was a highly accurate timepiece that could keep time at sea, unlike previous methods that relied on astronomical observations. By comparing the local time (determined by the chronometer) with the time at a known reference point, sailors could accurately calculate their longitude.

5. Is the Longitude Problem still relevant today?

While the invention of the marine chronometer solved the Longitude Problem for sailors, it is still relevant in modern times for other purposes, such as aviation and GPS navigation. Additionally, understanding the history and solutions of the Longitude Problem is important for studying the development of science and technology.

Similar threads

Replies
8
Views
1K
Replies
18
Views
3K
  • Introductory Physics Homework Help
Replies
8
Views
2K
  • Introductory Physics Homework Help
Replies
19
Views
4K
  • Other Physics Topics
Replies
11
Views
2K
Replies
12
Views
2K
Replies
13
Views
3K
  • Other Physics Topics
Replies
6
Views
2K
  • Calculus and Beyond Homework Help
Replies
8
Views
4K
  • Introductory Physics Homework Help
Replies
2
Views
2K
Back
Top