Question

why doesn't the unit for curvature have a theta somewhere?

Answer 1

@mathslover

Answer 2

Sorry, I have not studied that yet. @hartnn - may help you.

Answer 3

thanks for knowing who to go to

Answer 4

That's my work :)

Answer 5

why should it have it ? its just reciprocal of distance ? so m^-1 ?

Answer 6

The curvature of a circle of radius r is 1/r. In other words, if you expand a circle by a factor of k, then its curvature shrinks by a factor of k. So the units of curvature is just inverse-length.

Answer 7

Smaller circles bend more sharply, and hence have higher curvature

Answer 8

so it isn't change in angle with respect to distance along the curve

Answer 9

do you mean to say about Angular displacement?

Answer 10

yeah, thats ang displ.
unit: radians/m
it will have dimensions of theta

Answer 11

Okay!

Answer 12

so how does curvature relate to angular displacement? or are they completely unrelated?