Derivation for distance covered along the surface of earth. (Self-solved)

[lethal basalt]

I wanted to know if the derivation is correct or not. Any other improvements or any mistake i made?

[viral swan]

what are you given?

[lethal basalt]

Well its not school related , sometime this week a question popped in my mind "How can i find the distance between 2 points on the surface of the earth, or in other words the distance a place/person etc covers in given time due to the rotation of earth?"

So, this was my approach

[gleaming galleon]

is this direct displacement or just arc length around the surface?

nvm its arc

and shouldnt radius be constant?

oh its for certain latitude

im correcting myself lol

[lethal basalt]

LMAO

@viral swan

[fallen galleon]

Seems right

But it will just give the arc length

[lethal basalt]

Did you had something else in mind for that?

[fallen galleon]

Yepp

The haversine formula

[lethal basalt]

I think that still will give the same thing wouldnt it?

[fallen galleon]

Yepp

That's the ultimate thing we can do

Have u tried doing a calculation using ur work

N the formula

[lethal basalt]

Yes..... i have tried plugging different latitudes and it does work for them and tells the distance covered in dH

Tho i am not familiar with the haversine formula as i left maths after highschool as i am gonna go in medical,

[lethal basalt]

I just did this work because of this .....

[fallen galleon]

Okk...

It's not a mathematical related stuff i learned

I came to know abt it via physics

Just while studying gravitation

[lethal basalt]

Hm..... i think this would be taught in maths but in like special geometry classes while on other in gravitation as we mostly work with perfect spheres so its just a property of it, ig

[lethal basalt]

@fallen galleon but what u think of the solution i did

[fallen galleon]

It's good

[lethal basalt]

Okay, thanks

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