what is the formula to find radius of curvature of projectile?

Just at that time,when you have to calculate the radius of curvature,  just see the net force which is responsible for the circular motion. Equate it to mv^2/r to get the radius.

the above method is very straightforward and with this method you can calculate the formula as well.

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Rahul- IIT Roorkee

For a curve y, The radius of curvature(r)= ((1+(y`)^2)^(3/2))/y``********************************************************************************************************************************************************************************************************************************************************************************

Radius of curvature at any point = (u^2 cos^2 theta)/(g cos^3 alpha)Where theta is angle of projection with the horizontal and alpha is the angle made by the velocity vector with horizontal at the given point.

Dear Student,
Please find below the solution to your problem.

Just at that time,when you have to calculate the radius of curvature, just see the net force which is responsible for the circular motion. Equate it to mv^2/r to get the radius.

Thanks and Regards