Calculating Distance Between Copenhagen and Rome on Same Longitude

  • Thread starter Thread starter perfectlovehe
  • Start date Start date
  • Tags Tags
    Longitude
AI Thread Summary
To calculate the distance between Copenhagen and Rome, both located on similar longitudes but differing latitudes, the curvature of the Earth must be considered. The formula for calculating the distance between two points on a sphere based on latitude is essential, using the Earth's radius of approximately 6,371 kilometers. The difference in latitude between Copenhagen (55.67° N) and Rome (41.90° N) is about 13.77 degrees. This results in a surface distance of approximately 1,000 kilometers when applying the spherical distance formula. Accurate calculations are crucial for understanding geographical distances on Earth.
perfectlovehe
Messages
8
Reaction score
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
Please use the correct formatting and show your attempt at this question as per PF guidelines.

Jared
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top